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Skin Infection Detection using Dempster-Shafer Theory
                                         Andino Maseleno, Md. Mahmud Hasan

Abstract— Skin infections still remain common in many rural communities in developing countries, with serious economic and
social consequences as well as health implications. Directly or indirectly, skin infections are responsible for much disability (and
loss of economic potential), disfigurement, and distress due to symptoms such as itching or pain. In this research, we built a Skin
Infection Expert System for detecting skin infections and displaying the result of detection process. We describe five symptoms as
major symptoms which include blister, itch, scaly skin, fever, and pain in the rash. Dempster-Shafer theory to quantify the degree
of belief as inference engine in expert system, our approach uses Dempster-Shafer theory to combine beliefs under conditions of
uncertainty and ignorance, and allows quantitative measurement of the belief and plausibility in our identification result.
                                                                    At least three forms of uncertainty can be identified as
                     I.   INTRODUCTION
                                                                    playing a significant role in these types of systems. The
     Skin is the outermost tissue of the body and the               first of these possibilistic uncertainty appears in
largest organ in terms of both weight and surface area.             situations where the value of a variable can only be
It has an area of approximately 16,000 cm2 for an adult             narrowed down to a set of values one of which is the
and represents about 8% of the body weight. Skin has a              actual value of the variable. The second kind of
very complex structure that consists of many                        uncertainty is related to situations in which there exists
components. Cells, fibers and other components make                 uncertainty as to satisfaction of a predicate by an
up several different layers that give skin a multi-layered          element. This is manifested by concepts which have
structure. Veins, capillaries and nerves form vast                  imprecise or gray boundaries. A very powerful tool for
networks inside this structure [1]. What makes the skin             handling this type of uncertainty which also handles the
unique among organs is its exposed position up against              first type of uncertainty is the fuzzy set. The third type
the outside world. Other body organs can function only              of uncertainty is related to situations in which the value
in a controlled, protected environment where the                    of a variable assumes can be modeled by the
temperature never varies far from 98.6 degrees                      performance of a random experiment [6]. Figure 1
Fahrenheit. The skin maintains this environment, and to             shows the process for dealing with uncertainty in Skin
do so, it must be able to take on temperatures ranging              Infection Expert System.
from dry desert heat to bitter cold. It must be exquisitely
sensitive to its surroundings: when the outside                      Step 1

temperature rises, blood flow through the skin must
increase and sweat glands must secrete liquid whose
                                                                      Representation of uncertainty   Alternative Rule
evaporation will keep the inner temperature from also                   on the set of basic events
rising; when the temperature dips, vessels must
constrict to conserve body heat [2].
      Some expert systems for diagnosing skin
infections have been developed which were expert
system        for      differential      diagnosis       of          Step 2                                Step 3
erythemato-squamous          infections      incorporating
decisions made by three classification algorithms:
nearest neighbor classifier, naive Bayesian classifier                Merging uncertain information                      Conclusion
and voting feature intervals-5 [3], expert system
achieved with the import of certain medical cases [4]
and to help dermatologists in diagnosing some of the
skin infections [5]. Actually, according to researchers                       Figure 1. The process for dealing with uncertainty
knowledge, Dempster-Shafer theory of evidence has                                      in Skin Infection Expert System
never been used for built an expert system for skin
infection.                                                          In step 1, an expert provides uncertain knowledge in the
     The remainder is organized as follows. The                     form of rules with the possibility. These rules are
uncertainty in expert system is briefly reviewed in                 probability values. In step 2, the uncertain knowledge
Section 2. Section 3 is detailed the Dempster Shafer                on a set of basic events can be directly used to draw
Theory. Skin Infection Expert System is detailed in                 conclusions in simple cases (step 3). However, in many
Section 4. The implementation results are presented in              cases the various events associated with each other.
Section 5, and conclusion is concluded in Section 6.                Therefore, it is necessary to combine the information
                                                                    contained in step 1 into the global value system. In step
                                                                    3, the goal is knowledge-based systems draw
          II. UNCERTAINTY IN EXPERT SYSTEM                          conclusions. It is derived from uncertain knowledge in
                                                                    steps 1 and 2, and is usually implemented by an
The construction of expert and other intelligent
                                                                    inference engine. Working with the inference engine,
computer systems requires sophisticated mechanism for
representing and reasoning with uncertain information.
the expert can adjust the input that they enter in Step 1
after displaying the results in steps 2 and 3.
                                                                 Start

            III. DEMPSTER-SHAFER THEORY
    The Dempster-Shafer theory was first introduced by
Dempster [7] and then extended by shafer [8], but the                           Yes                 Input
kind of reasoning the theory uses can be found as far           Symptoms                        m1 (B) m2 (C)

back as the seventeenth century. This theory is actually
an extension to classic probabilistic uncertainty
modeling. Whereas the Bayesian theory requires                       No

probabilities for each question of interest, belief
functions allow us to base degrees of belief for on             m (A) = 1
question on probabilities for a related question. The
advantages of the Dempster-Shafer theory as follows:
1. It has the ability to model information in a flexible
    way without requiring a probability to be assigned            End

    to each element in a set,
2. It provides a convenient and simple mechanism             Figure 2. Flowchart of Skin Infection Expert System
    (Dempster's combination rule) for combining two or
    more pieces of evidence under certain conditions.
3. It can model ignorance explicitly.                        A. Knowledge acquisition
4. Rejection of the law of additivity for belief in
    disjoint propositions.                                      In the present work, knowledge has been obtained
    The Dempster Shafer theory provides a rule to           from two sources. We acquired textual information
combine evidences from independent observers and into       from literature such as extension booklets, reports,
a single and more informative hint. Evidence theory is      papers, etc., related to the avian influenza diseases. The
based on belief function and plausible reasoning. First     printed material allowed became familiar with the
of all, we must define a frame of discernment, indicated    subject and a more effective communication with the
by the sign Θ . The sign 2Θ indicates the set composed      experts. Most knowledge was acquired from the experts
of all the subset generated by the frame of discernment.    using conventional interviewing techniques. The
For a hypothesis set, denoted by A, m(A)→[0,1].             interview methods permitted a better understanding of
                    m (Ø) = 0                               the problem and its further representation. This
                                                            knowledge was provided by experts on skin infection.
                                                     (1)    Unstructured and structured interviews were used. The
                                                            unstructured interviews were used to define the familiar
∅ is the sign of an empty set. The function m is the        tasks involved in the process of identification, to obtain
basic probability assignment. Dempster's rule of            an initial understanding of the range of complications
combination combines two independent sets of mass           involved, and to define specific problems for later
assignments.                                                discussion. The questions were more or less
               (m1 ⊕ m2) (∅) = 0                (2)         spontaneous and notes were taken on discussion. These
                                                            methods were complemented with structured interviews.
                                                     (3)    In the structured interviews, we revised and discussed in
                                                            depth familiar tasks to clarify questions.

Where
                                                             B. Knowledge Base
                                                     (4)        A critical aspect of building an expert system is
                                                            formulating the scope of the problem and gleaning from
           m(A), m1(B), m2(C)  [0,1], A # Ø                the source expert the domain information needed to
                                                            solve the problem. The reliability of an expert system
   Skin     Infection    Expert      System       using     depends on the quality of knowledge contained in the
Dempster-Shafer theory in the decision support process.     knowledge base. In this research, we built a Skin
Flowchart of Skin Infection Expert System shown in          Infection Expert System and we describe five symptoms
Figure 2.                                                   which include blister, itch, scaly skin, fever, and pain in
                                                            the rash. Knowledge base of which input on the testing
                                                            of this expert system can be seen in the Table I.
Table 1. Knowledge Base                               0.56  0.24
                                                            m3 {CE} =               0.8
                                                                           1 0
                                                                                   0.14
                                                            m3 {CE, DEG, I, PR}=          0.14
                                                                                   1 0
                                                                      0.06
                                                            m3 {Θ} =        0.06
                                                                     1 0

                                                              3.   Symptom 3- Scaly Skin
                                                                Scaly skin is the symptom of Creeping Eruption
                                                            (CE), Dermatitis Eksfoliatif Generalisata (DEG), and
                                                            Pitriasis Rosea (PR) with a bpa of 0.6, so that:
                                                            m4 {CE, DEG, PR} = 0.6
                                                            m4 { Θ} = 1 – 0.6 = 0.4
                                                                We calculate the new bpa for some combinations
                                                            (m5). Combination rules for the m5 can be seen in the
 C. Inference Engine                                        table 3.
   The inference engine is charged with the role of
                                                               Table 3.    Combination of Symptom 1, Symptom 2 and
performing and controlling inference on the knowledge
                                                                                     Symptom 3
base. Specific features of the inference engine depend
on the knowledge representation scheme used for the
knowledge base. Because the most common
representation scheme is production rules, this inference
engine will be exemplified. The following will be
shown the inference engine using Dempster-Shafer
Theory to diagnose skin infection.                                        0.48  0.32
                                                            m5 {CE} =                  0.8
Symptoms:                                                                    1 0
1. Blister
2. Itch                                                                              0.084  0.036
                                                            m5 {CE, DEG, PR} =                      0.12
3. Scaly skin                                                                            1 0
4. Fever
5. Pain in the rash                                                                    0.056
                                                            m5 {CE, DEG, I, PR} =             0.056
                                                                                       1 0

 1.   Symptom 1 - Blister                                                  0.024
                                                            m5 {Θ}   =            0.024
    Blister is a symptom of Creeping Eruption (CE).                        1 0
The measures of uncertainty, taken collectively are
known in Dempster-Shafer Theory terminology as a              4.   Symptom 4 - Fever
``basic probability assignment'' (bpa ). Hence we have a       Fever is a symptom Erisipelas (E), Dermatitis
bpa, say m1 of 0.8 given to the focal element {CE } in      Eksfoliatif Generalisata (DEG), and Nekrolisis
example, m1({CE }) = 0.8, since we know nothing             Epidermal Toksika (NET), so that:
about the remaining probability it is allocated to the      m6 (E, DEG, NET) = 0.4
whole of the frame of the discernment in example,           m6 (Θ) = 1 – 0.4 = 0.6
m1({CE}) = 0.2, so:                                            We calculate the new bpa value for each subset with
m1 {CE} = 0.8                                               bpa m7 as seen in the table 4.
m1 {Θ} = 1 – 0.8 = 0.2
                                                            Table 4. Combination of Symptom 1, Symptom 2, Symptom 3
 2.   Symptom 2 - Itch                                                               and Symptom 4
    Itch is the symptom of Creeping Eruption (CE),
Dermatitis Eksfoliatif Generalisata (DEG), Impetigo (I),
and Pitriasis Rosea (PR) with a bpa of 0.7, so that:
m2 {CE, DEG, I, PR} = 0.7
m2 { Θ} = 1 – 0.7 = 0.3
    We calculate the new bpa for some combinations                          0.48
                                                            m7 (CE) =               0.705
(m3). Combination rules for the m3 can be seen in the                     1  0.32
table 2.
                                                                            0.048  0.022
                                                            m7 (DEG) =                     0.102
   Table 2.   Combination of Symptom 1 and Symptom 2                           1  0.32
0.072
m7 (CE, DEG,     PR) =              0.105
                          1  0.32
                          0.033
m7 (CE, DEG, I, PR) =             0.048
                        1  0.32
                       0.009
m7 (DEG, E, NET) =              0.013
                      1  0.32
          0.014
m7 (Θ) =           0.021
         1  0.32


 5.   Symptom 5 – Pain in the Rash
   Pain in the rash is symptom of Erisipelas (E) with a
bpa of 0.3, so that:
m8 {E} = 0.3
                                                                                     Figure 4. Graphic of detection
m8 {Θ} = 1 - 0.3 = 0.7
   We calculate the new bpa value for each subset with
                                                                      Figure 4 shows the graphic of detection, we got the
bpa m9 as seen in the table 5.
                                                                      highest basic probability assignment is CE (Creeping
                                                                      Eruption) that is equal to 0.695 which show from the
      Table 5. Combination of Symptom 1, Symptom 2,
                                                                      last calculation of Dempster-Shafer on symptom 5
            Symptom 3, Symptom 4 and Symptom 5
                                                                      which means the possibility of a temporary diseases
                                                                      with symptoms of Blister, Itch, scaly skin, fever, pain in
                                                                      the rash is the Creeping Eruption.


                                                                       D. User Interface
                                                                          A user interface is the method by which the expert
                                                                      system interacts with a user. The input or output
                           0.494                                      interface defines the way in which the expert system
m9 (CE) =                                       0.695
            1  (0.212 0.031  0.032  0.014)                        interacts with the user and other systems such as
                                                                      databases. Interfaces are graphical with screen displays,
                             0.071                                    windowing, and mouse control. They receive input from
m9 (DEG) =                                        0.099
              1  (0.212 0.031  0.032  0.014)                      the user and display output to the user The user
                                                                      interface development of Skin Infection Expert System
                   0.004  0.006                                      to begin with designing web pages and designing a
m9 (E) =                                        0.014
         1  (0.212 0.031  0.032  0.014)                           web-based applications. Designing web pages using
                                  0.074                               PHP, the web page then connected to the MySQL
m9 (CE, DEG, PR) = 1  (0.212 0.031  0.032  0.014)  0.104         database, after that designing a web-based applications
                                                                      which used to access the network database. The
                                                                      relationship between applications with network
                                        0.034
m9 (CE, DEG, I, PR) =                                        0.048   database has shaped overall applications to manage
                         1  (0.212 0.031  0.032  0.014)
                                                                      information to be displayed.
                                      0.009
m9 (DEG, E, NET) =                                         0.048
                       1  (0.212 0.031  0.032  0.014)
                                                                                      6.   IMPLEMENTATION
                           0.015
m9 (Θ) =                                        0.021                    The following will be shown the working process of
            1  (0.212 0.031  0.032  0.014)                        expert system in diagnosing a case. The consultation
                                                                      process begins with selecting symptoms found on the
    The most highly bpa value is the m9 (CE) that is                  list of symptoms. In the cases tested, a known
equal to 0.695 which means the possibility of a                       symptoms are blister, itch, scaly skin, fever, pain in the
temporary infections with symptoms of Blister, Itch,                  rash. The consultation process can be seen in Figure 5.
scaly skin, fever, pain in the rash is the Creeping                   In this paper we use 5 symptoms as major symptoms
Eruption. Figure 4 shows graphic of identification.                   are blister, itch, scaly skin, fever, pain in the rash.
used some of mathematical expressions, gave them a
                                                               different interpretation: each piece of evidence (finding)
                                                               may support a subset containing several hypotheses.
                                                               This is a generalization of the pure probabilistic
                                                               framework in which every finding corresponds to a
                                                               value of a variable (a single hypothesis). In this research,
                                                               Skin Infection Expert System has been successfully
                                                               detecting skin infections and displaying the result of
                                                               identification process. This research can be an
                                                               alternative in addition to direct consultation with the
                                                               skin disease doctor and to find out quickly of skin
                                                               infections problems which can reduce serious economic
                                                               and social consequences as well as health implications.


          Figure 5. The selection of symptoms                                             REFERENCES
                                                               [1].   T. Igarashi, K. Nishino, and S. K. Nayar, The Appearance of
In the case of blister, itch, scaly skin, fever, and pain in          Human Skin, Department of Computer Science Columbia
the rash, the result of consultation is creeping eruption             University New York, USA, Technical Report: CUCS-024-05,
with the density value 0.695. Figure 6 shows the result               2005.
of consultation.                                               [2].   T. A. Grossbart, C. Sherman, Skin Deep, Health Press NA Inc.,
                                                                      Albuquerque, New Mexico, 2009.
                                                               [3].   Expert Systems with Applications 18, 43–49, 2000.
                                                               [4].   S. Karagiannis, A. I. Dounis, T. Chalastras, P. Tiropanis, and
                                                                      D. Papachristos, Design of Expert System for Search Allergy
                                                                      and Selection of the Skin Tests using CLIPS, World Academy
                                                                      of Science, Engineering and Technology 31, 2007.
                                                               [5].   S.S.A. Naser, A.N. Akkila, A Proposed Expert System for Skin
                                                                      Infections Diagnosis, Journal of Applied Sciences Research,
                                                                      4(12): 1682-1693, 2008.
                                                               [6].   R. Yager, Reasoning with Uncertainty for Expert Systems,
                                                                      International Joint Conference on Artificial Intelligence, 1985.
                                                               [7].   A. P. Dempster, A Generalization of Bayesian inference,
                                                                      Journal of the Royal Statistical Society, 205 – 247, 1968.
                                                               [8].   G. Shafer, A Mathematical Theory of Evidence, Princeton
                                                                      University Press, New Jersey, 1976.


           Figure 6. The result of consultation

                     7.   CONCLUSION
    Detection of skin infections can be performed using
Dempster-Shafer Theory. In this paper we describe five
symptoms as major symptoms are Blister, Itch, Scaly
skin, fever, and pain in the rash of skin infections
dermatitis eksfoliatif generalisata, impetigo, pitriasis
rosea, erisipelas, and nekrolisis epidermal toksika. The
simplest possible method for using probabilities to
quantify the uncertainty in a database is that of
attaching a probability to every member of a relation,
and to use these values to provide the probability that a
particular value is the correct answer to a particular
query. An expert in providing knowledge is uncertain in
the form of rules with the possibility, the rules are
probability value. The knowledge is uncertain in the
collection of basic events can be directly used to draw
conclusions in simple cases, however, in many cases the
various events associated with each other. Knowledge
based is to draw conclusions, it is derived from
uncertain knowledge. Reasoning under uncertainty that

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Skin Infection Detection using Dempster-Shafer Theory

  • 1. Skin Infection Detection using Dempster-Shafer Theory Andino Maseleno, Md. Mahmud Hasan Abstract— Skin infections still remain common in many rural communities in developing countries, with serious economic and social consequences as well as health implications. Directly or indirectly, skin infections are responsible for much disability (and loss of economic potential), disfigurement, and distress due to symptoms such as itching or pain. In this research, we built a Skin Infection Expert System for detecting skin infections and displaying the result of detection process. We describe five symptoms as major symptoms which include blister, itch, scaly skin, fever, and pain in the rash. Dempster-Shafer theory to quantify the degree of belief as inference engine in expert system, our approach uses Dempster-Shafer theory to combine beliefs under conditions of uncertainty and ignorance, and allows quantitative measurement of the belief and plausibility in our identification result. At least three forms of uncertainty can be identified as I. INTRODUCTION playing a significant role in these types of systems. The Skin is the outermost tissue of the body and the first of these possibilistic uncertainty appears in largest organ in terms of both weight and surface area. situations where the value of a variable can only be It has an area of approximately 16,000 cm2 for an adult narrowed down to a set of values one of which is the and represents about 8% of the body weight. Skin has a actual value of the variable. The second kind of very complex structure that consists of many uncertainty is related to situations in which there exists components. Cells, fibers and other components make uncertainty as to satisfaction of a predicate by an up several different layers that give skin a multi-layered element. This is manifested by concepts which have structure. Veins, capillaries and nerves form vast imprecise or gray boundaries. A very powerful tool for networks inside this structure [1]. What makes the skin handling this type of uncertainty which also handles the unique among organs is its exposed position up against first type of uncertainty is the fuzzy set. The third type the outside world. Other body organs can function only of uncertainty is related to situations in which the value in a controlled, protected environment where the of a variable assumes can be modeled by the temperature never varies far from 98.6 degrees performance of a random experiment [6]. Figure 1 Fahrenheit. The skin maintains this environment, and to shows the process for dealing with uncertainty in Skin do so, it must be able to take on temperatures ranging Infection Expert System. from dry desert heat to bitter cold. It must be exquisitely sensitive to its surroundings: when the outside Step 1 temperature rises, blood flow through the skin must increase and sweat glands must secrete liquid whose Representation of uncertainty Alternative Rule evaporation will keep the inner temperature from also on the set of basic events rising; when the temperature dips, vessels must constrict to conserve body heat [2]. Some expert systems for diagnosing skin infections have been developed which were expert system for differential diagnosis of Step 2 Step 3 erythemato-squamous infections incorporating decisions made by three classification algorithms: nearest neighbor classifier, naive Bayesian classifier Merging uncertain information Conclusion and voting feature intervals-5 [3], expert system achieved with the import of certain medical cases [4] and to help dermatologists in diagnosing some of the skin infections [5]. Actually, according to researchers Figure 1. The process for dealing with uncertainty knowledge, Dempster-Shafer theory of evidence has in Skin Infection Expert System never been used for built an expert system for skin infection. In step 1, an expert provides uncertain knowledge in the The remainder is organized as follows. The form of rules with the possibility. These rules are uncertainty in expert system is briefly reviewed in probability values. In step 2, the uncertain knowledge Section 2. Section 3 is detailed the Dempster Shafer on a set of basic events can be directly used to draw Theory. Skin Infection Expert System is detailed in conclusions in simple cases (step 3). However, in many Section 4. The implementation results are presented in cases the various events associated with each other. Section 5, and conclusion is concluded in Section 6. Therefore, it is necessary to combine the information contained in step 1 into the global value system. In step 3, the goal is knowledge-based systems draw II. UNCERTAINTY IN EXPERT SYSTEM conclusions. It is derived from uncertain knowledge in steps 1 and 2, and is usually implemented by an The construction of expert and other intelligent inference engine. Working with the inference engine, computer systems requires sophisticated mechanism for representing and reasoning with uncertain information.
  • 2. the expert can adjust the input that they enter in Step 1 after displaying the results in steps 2 and 3. Start III. DEMPSTER-SHAFER THEORY The Dempster-Shafer theory was first introduced by Dempster [7] and then extended by shafer [8], but the Yes Input kind of reasoning the theory uses can be found as far Symptoms m1 (B) m2 (C) back as the seventeenth century. This theory is actually an extension to classic probabilistic uncertainty modeling. Whereas the Bayesian theory requires No probabilities for each question of interest, belief functions allow us to base degrees of belief for on m (A) = 1 question on probabilities for a related question. The advantages of the Dempster-Shafer theory as follows: 1. It has the ability to model information in a flexible way without requiring a probability to be assigned End to each element in a set, 2. It provides a convenient and simple mechanism Figure 2. Flowchart of Skin Infection Expert System (Dempster's combination rule) for combining two or more pieces of evidence under certain conditions. 3. It can model ignorance explicitly. A. Knowledge acquisition 4. Rejection of the law of additivity for belief in disjoint propositions. In the present work, knowledge has been obtained The Dempster Shafer theory provides a rule to from two sources. We acquired textual information combine evidences from independent observers and into from literature such as extension booklets, reports, a single and more informative hint. Evidence theory is papers, etc., related to the avian influenza diseases. The based on belief function and plausible reasoning. First printed material allowed became familiar with the of all, we must define a frame of discernment, indicated subject and a more effective communication with the by the sign Θ . The sign 2Θ indicates the set composed experts. Most knowledge was acquired from the experts of all the subset generated by the frame of discernment. using conventional interviewing techniques. The For a hypothesis set, denoted by A, m(A)→[0,1]. interview methods permitted a better understanding of m (Ø) = 0 the problem and its further representation. This knowledge was provided by experts on skin infection. (1) Unstructured and structured interviews were used. The unstructured interviews were used to define the familiar ∅ is the sign of an empty set. The function m is the tasks involved in the process of identification, to obtain basic probability assignment. Dempster's rule of an initial understanding of the range of complications combination combines two independent sets of mass involved, and to define specific problems for later assignments. discussion. The questions were more or less (m1 ⊕ m2) (∅) = 0 (2) spontaneous and notes were taken on discussion. These methods were complemented with structured interviews. (3) In the structured interviews, we revised and discussed in depth familiar tasks to clarify questions. Where B. Knowledge Base (4) A critical aspect of building an expert system is formulating the scope of the problem and gleaning from m(A), m1(B), m2(C)  [0,1], A # Ø the source expert the domain information needed to solve the problem. The reliability of an expert system Skin Infection Expert System using depends on the quality of knowledge contained in the Dempster-Shafer theory in the decision support process. knowledge base. In this research, we built a Skin Flowchart of Skin Infection Expert System shown in Infection Expert System and we describe five symptoms Figure 2. which include blister, itch, scaly skin, fever, and pain in the rash. Knowledge base of which input on the testing of this expert system can be seen in the Table I.
  • 3. Table 1. Knowledge Base 0.56  0.24 m3 {CE} =  0.8 1 0 0.14 m3 {CE, DEG, I, PR}=  0.14 1 0 0.06 m3 {Θ} =  0.06 1 0 3. Symptom 3- Scaly Skin Scaly skin is the symptom of Creeping Eruption (CE), Dermatitis Eksfoliatif Generalisata (DEG), and Pitriasis Rosea (PR) with a bpa of 0.6, so that: m4 {CE, DEG, PR} = 0.6 m4 { Θ} = 1 – 0.6 = 0.4 We calculate the new bpa for some combinations (m5). Combination rules for the m5 can be seen in the C. Inference Engine table 3. The inference engine is charged with the role of Table 3. Combination of Symptom 1, Symptom 2 and performing and controlling inference on the knowledge Symptom 3 base. Specific features of the inference engine depend on the knowledge representation scheme used for the knowledge base. Because the most common representation scheme is production rules, this inference engine will be exemplified. The following will be shown the inference engine using Dempster-Shafer Theory to diagnose skin infection. 0.48  0.32 m5 {CE} =  0.8 Symptoms: 1 0 1. Blister 2. Itch 0.084  0.036 m5 {CE, DEG, PR} =  0.12 3. Scaly skin 1 0 4. Fever 5. Pain in the rash 0.056 m5 {CE, DEG, I, PR} =  0.056 1 0 1. Symptom 1 - Blister 0.024 m5 {Θ} =  0.024 Blister is a symptom of Creeping Eruption (CE). 1 0 The measures of uncertainty, taken collectively are known in Dempster-Shafer Theory terminology as a 4. Symptom 4 - Fever ``basic probability assignment'' (bpa ). Hence we have a Fever is a symptom Erisipelas (E), Dermatitis bpa, say m1 of 0.8 given to the focal element {CE } in Eksfoliatif Generalisata (DEG), and Nekrolisis example, m1({CE }) = 0.8, since we know nothing Epidermal Toksika (NET), so that: about the remaining probability it is allocated to the m6 (E, DEG, NET) = 0.4 whole of the frame of the discernment in example, m6 (Θ) = 1 – 0.4 = 0.6 m1({CE}) = 0.2, so: We calculate the new bpa value for each subset with m1 {CE} = 0.8 bpa m7 as seen in the table 4. m1 {Θ} = 1 – 0.8 = 0.2 Table 4. Combination of Symptom 1, Symptom 2, Symptom 3 2. Symptom 2 - Itch and Symptom 4 Itch is the symptom of Creeping Eruption (CE), Dermatitis Eksfoliatif Generalisata (DEG), Impetigo (I), and Pitriasis Rosea (PR) with a bpa of 0.7, so that: m2 {CE, DEG, I, PR} = 0.7 m2 { Θ} = 1 – 0.7 = 0.3 We calculate the new bpa for some combinations 0.48 m7 (CE) =  0.705 (m3). Combination rules for the m3 can be seen in the 1  0.32 table 2. 0.048  0.022 m7 (DEG) =  0.102 Table 2. Combination of Symptom 1 and Symptom 2 1  0.32
  • 4. 0.072 m7 (CE, DEG, PR) =  0.105 1  0.32 0.033 m7 (CE, DEG, I, PR) =  0.048 1  0.32 0.009 m7 (DEG, E, NET) =  0.013 1  0.32 0.014 m7 (Θ) =  0.021 1  0.32 5. Symptom 5 – Pain in the Rash Pain in the rash is symptom of Erisipelas (E) with a bpa of 0.3, so that: m8 {E} = 0.3 Figure 4. Graphic of detection m8 {Θ} = 1 - 0.3 = 0.7 We calculate the new bpa value for each subset with Figure 4 shows the graphic of detection, we got the bpa m9 as seen in the table 5. highest basic probability assignment is CE (Creeping Eruption) that is equal to 0.695 which show from the Table 5. Combination of Symptom 1, Symptom 2, last calculation of Dempster-Shafer on symptom 5 Symptom 3, Symptom 4 and Symptom 5 which means the possibility of a temporary diseases with symptoms of Blister, Itch, scaly skin, fever, pain in the rash is the Creeping Eruption. D. User Interface A user interface is the method by which the expert system interacts with a user. The input or output 0.494 interface defines the way in which the expert system m9 (CE) =  0.695 1  (0.212 0.031  0.032  0.014) interacts with the user and other systems such as databases. Interfaces are graphical with screen displays, 0.071 windowing, and mouse control. They receive input from m9 (DEG) =  0.099 1  (0.212 0.031  0.032  0.014) the user and display output to the user The user interface development of Skin Infection Expert System 0.004  0.006 to begin with designing web pages and designing a m9 (E) =  0.014 1  (0.212 0.031  0.032  0.014) web-based applications. Designing web pages using 0.074 PHP, the web page then connected to the MySQL m9 (CE, DEG, PR) = 1  (0.212 0.031  0.032  0.014)  0.104 database, after that designing a web-based applications which used to access the network database. The relationship between applications with network 0.034 m9 (CE, DEG, I, PR) =  0.048 database has shaped overall applications to manage 1  (0.212 0.031  0.032  0.014) information to be displayed. 0.009 m9 (DEG, E, NET) =  0.048 1  (0.212 0.031  0.032  0.014) 6. IMPLEMENTATION 0.015 m9 (Θ) =  0.021 The following will be shown the working process of 1  (0.212 0.031  0.032  0.014) expert system in diagnosing a case. The consultation process begins with selecting symptoms found on the The most highly bpa value is the m9 (CE) that is list of symptoms. In the cases tested, a known equal to 0.695 which means the possibility of a symptoms are blister, itch, scaly skin, fever, pain in the temporary infections with symptoms of Blister, Itch, rash. The consultation process can be seen in Figure 5. scaly skin, fever, pain in the rash is the Creeping In this paper we use 5 symptoms as major symptoms Eruption. Figure 4 shows graphic of identification. are blister, itch, scaly skin, fever, pain in the rash.
  • 5. used some of mathematical expressions, gave them a different interpretation: each piece of evidence (finding) may support a subset containing several hypotheses. This is a generalization of the pure probabilistic framework in which every finding corresponds to a value of a variable (a single hypothesis). In this research, Skin Infection Expert System has been successfully detecting skin infections and displaying the result of identification process. This research can be an alternative in addition to direct consultation with the skin disease doctor and to find out quickly of skin infections problems which can reduce serious economic and social consequences as well as health implications. Figure 5. The selection of symptoms REFERENCES [1]. T. Igarashi, K. Nishino, and S. K. Nayar, The Appearance of In the case of blister, itch, scaly skin, fever, and pain in Human Skin, Department of Computer Science Columbia the rash, the result of consultation is creeping eruption University New York, USA, Technical Report: CUCS-024-05, with the density value 0.695. Figure 6 shows the result 2005. of consultation. [2]. T. A. Grossbart, C. Sherman, Skin Deep, Health Press NA Inc., Albuquerque, New Mexico, 2009. [3]. Expert Systems with Applications 18, 43–49, 2000. [4]. S. Karagiannis, A. I. Dounis, T. Chalastras, P. Tiropanis, and D. Papachristos, Design of Expert System for Search Allergy and Selection of the Skin Tests using CLIPS, World Academy of Science, Engineering and Technology 31, 2007. [5]. S.S.A. Naser, A.N. Akkila, A Proposed Expert System for Skin Infections Diagnosis, Journal of Applied Sciences Research, 4(12): 1682-1693, 2008. [6]. R. Yager, Reasoning with Uncertainty for Expert Systems, International Joint Conference on Artificial Intelligence, 1985. [7]. A. P. Dempster, A Generalization of Bayesian inference, Journal of the Royal Statistical Society, 205 – 247, 1968. [8]. G. Shafer, A Mathematical Theory of Evidence, Princeton University Press, New Jersey, 1976. Figure 6. The result of consultation 7. CONCLUSION Detection of skin infections can be performed using Dempster-Shafer Theory. In this paper we describe five symptoms as major symptoms are Blister, Itch, Scaly skin, fever, and pain in the rash of skin infections dermatitis eksfoliatif generalisata, impetigo, pitriasis rosea, erisipelas, and nekrolisis epidermal toksika. The simplest possible method for using probabilities to quantify the uncertainty in a database is that of attaching a probability to every member of a relation, and to use these values to provide the probability that a particular value is the correct answer to a particular query. An expert in providing knowledge is uncertain in the form of rules with the possibility, the rules are probability value. The knowledge is uncertain in the collection of basic events can be directly used to draw conclusions in simple cases, however, in many cases the various events associated with each other. Knowledge based is to draw conclusions, it is derived from uncertain knowledge. Reasoning under uncertainty that