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Integrated Intelligent Research (IIR) International Journal of Data Mining Techniques and Applications
Volume: 02 Issue: 01 June 2013 Page No.8-11
ISSN: 2278-2419
8
The Empowerment of Women in Promoting
Happiness in her Own Environment using Fuzzy
Cognitive Maps
A. Victor Devadoss1
, K. Sudha2
PG and Research Department of Mathematics, Loyola College, Chennai, India
Email: hanivictor@ymail.com , ashu.8788@gmail.com
Abstract -Empowerment is now increasingly seen as a process
by which the one’s without power gain greater control over
their lives. This means control over material assets,
intellectual resources and ideology. It involves power to, with
and power within. Some define empowerment as a process of
awareness and conscientization, of capacity building leading to
greater participation, effective decision-making power and
control leading to transformative action. In this paper we use
Fuzzy Cognitive Maps to analyze the standard of living to
empower women with decision making power over their work
and income which in turn promotes happiness.
Keywords- Empowerment of women, Standard of living,
Happiness, Fuzzy Cognitive Maps.
I. INTRODUCTION
Empowerment is now increasingly seen as a process by which
the one's without power gaingreater control over their lives.
This means control over material assets, intellectualresources
and ideology. It involves power to, power with and power
within. Some defineempowerment as a process of awareness
and conscientization, of capacity building leadingto greater
participation, effective decision-making power and control
leading totransformative action. This involves ability to get
what one wants and to influence others onour concerns. With
reference to women the power relation that has to be involved
includestheir lives at multiple levels, family, community,
market and the state. Importantly it involvesat the
psychological level women's ability to assert themselves and
this is constructed by the'gender roles' assigned to her specially
in a cultural which resists change like India.
In an effort to develop strategies for empowering women, some
programmes are sensitive to recognizing women's contribution
and their knowledge as the first step. They appreciate that
women require principally social support to fight their sense of
inadequacy and fears to enhance their self-respect and dignity.
Empowering women means control over their bodies and
becoming economically independent, controlling resources like
land and property and reduction of burden of work. A society
or programme which aims at women's empowerment needs to
create and strengthen sisterhood and to promote overall
nurturing, caring and gentleness. Researchers often emphasise
on women Self-Help groups (SHG's) as a collective one such
effort. Women are capable of these functions given sufficient,
nutrition,education and other support. Women are most often
not treated as subjects.
II. CONCEPT OF EMPOWERMENT OF WOMEN
Women's empowerment is a process in which women gain
greater share of control over resources - material, human and
intellectual like knowledge, information, ideas and financial
resources like money - and access to money and control over
decision-making in the home, community, society and nation,
and to gain `power'. According to the Country Report of
Government of India, "Empowerment means moving from a
position of enforced powerlessness to one of power". There are
various fields of empowerment related to women. In
particularly here we analyze the problem of social
empowerment of women like education, health, nutrition,
drinking water and sanitation, environment, science and
technology, women in difficult circumstances, violence against
women, rights of the girl child and mass media. To develop
this will leads to equality, sustainability, empowerment and
happiness of women in their environment.
III. HUMAN CAPABILITIES
According to Martha Nussbaum (2003) first, that there are
certain functions that are particularly central to human life.
Second, that there is something do these in a truly human way,
not a mere animal way.The list of capabilities that she draws is
cross-cultural as necessary element of truly human functioning.
They include:
1. Life-being able to live to the end of human life of normal
length: not dying prematurely, orbefore one's life is so reduced
as to be not worth living.
2. Bodily health – being able to have good health including
reproductive health, to beadequately nourished, to have
adequate shelter.
3. Bodily integrity – Being able to move freely from place to
place, to be secure againstviolent assault, including sexual
assault and domestic violence; having opportunities forsex
satisfaction and for choice in matters of reproduction.
4. Senses, imagination and thought – Being able to use the
sense, to imagine, think andreason in a truly human way
including but not limited to literacy. Being able to use
one'smind and imagination protected by freedom of
expression.
5. Emotions – being able to have attachments, to love, to grieve
to experience longinggratitude and justified anger. Not having
one's emotional development blighted by fearand anxiety.
6. Practical Reason – Being able to form a conception of the
good and to engage in criticalreflection about planning of one's
life's protected by liberty of conscience.
7. Affiliation – Being able to live with and toward others to
have social interactions, to havethe capability of both justice
Integrated Intelligent Research (IIR) International Journal of Data Mining Techniques and Applications
Volume: 02 Issue: 01 June 2013 Page No.8-11
ISSN: 2278-2419
9
and friendship. This would entail freedom of assembly andfree
speech. Having social bases for self-respect and non-
humiliation, being protectedagainst discrimination on the basis
of race, sex sexual orientation religion caste orregion.
8. Other species – Being able to concern with nature.
9. Play – being able to laugh, play and enjoy.
10. Control over one's environment.
a) Political. Being able to participate effectively in political
choices that govern one's life,having the right to political
participation, protection of free speech and association.
b) Material. Being able to hold property to seek employment
on equal bases and havingfreedom from unwarranted search
and seizure. In work, being able to work as ahuman being,
exercising practical reason and entering into meaningful
relationshipsof mutual recognition with the workers.
These capabilities cover the so called "first generation rights"
(political & civil liberties) aswell as the "second generation
rights" (economic and social rights. It has been emphasizedthat
women all over the world have been short shifted and have not
found support for theircentral human functions Women are
ascapable as men of exercising will, controlling desires and
taking decisions but males enjoysupport of social institutions
and women are excluded as the 'other'. Women are often
nottreated as "ends in themselves" persons with dignity who
deserve respect from laws andinstitutions instead they are
treated instrumentally as reproducers, caregivers,
sexualreceivers, agents of family's general prosperity.
IV. FUZZY COGNITIVE MAPS (FCM)
The notion of Fuzzy Cognitive Maps (FCMs), which was
introduced by Bart Kosko in the year 1986. FCMs have a
major role to play mainly when the data concerned is an
unsupervised one. The FCMs work on the opinion of experts. It
can give the hidden pattern of the problem under analysis.
Further this method is most simple and effective one as it can
analyze the data by directed graphs and connection matrices.
A. Basic notion for FCM
An FCM is a directed graph with concepts like policies, events
etc. as nodes and causalities as edges. It represents causal
relationship between concepts. When the nodes of the FCM are
fuzzy setsthen they are called as fuzzy nodes.
FCMs with edge weights or causalitiesfrom the set {–1, 0, 1}
are called simple FCMs.Consider the nodes / concepts C1,
…,Cn ofthe FCM. Suppose the directed graph is drawn using
Edge weight eij∈ {0, 1, –1}. The matrix E be defined by E=
(eij) where eij is the weight of the directed edge CiCj E is called
the adjacency matrix of the FCM also known as the connection
matrix of the FCM.Let C1, C2, … ,Cn be the nodes of an FCM.
A = (a1, a2, … , an) where ai∈{0, 1}. A is called
theinstantaneous state vector and it denotes the on-off position
of the node at an instant.
ai = 0 if ai is off and
ai = 1 ifaiis on for
i= 1, 2, …,n.
Let C1, C2, … ,Cn be the nodes of anFCM. Let C1C2 , C2C3 ,
C3C4 ,…, CiCjbe the edges of The FCM (i ≠ j). Then the edges
form a directed cycle. An FCM is said to be cyclic if it
possesses a directed cycle. An FCM is said to be acyclic if it
does not possess any directed cycle.An FCM with cycles is
said to have a feedback. When there is a feedback in an FCM,
i.e., when the causal relations flow through a cycle in a
revolutionary way, the FCM is called a dynamical system.
Let C1C2 , C2C3 ,…,Cn−1Cn be a cycle.WhenCi is switched on
and if the causality flows through the edges of a cycle and if it
again causes Ci , we say that the dynamical system goes round
and round. This is true for any node Ci , for i = 1, 2, … , n. The
equilibrium state for this dynamical system is called the hidden
pattern. If the equilibrium state of a dynamicalsystem is a
unique state vector, then it is called a fixed point. If the FCM
settles down with a statevector repeating in the formA1 → A2
→ … → Ai → A1 then this equilibrium is called a limit cycle
V. ADAPTATION OF FCM TO THE PROBLEM
We use the following seven nodes of FCM which are labeled
as follows
1C  Education
Equal access to education for women and girls needs to be
ensured. Special measures should be taken to eliminate
discrimination, universalize education, eradicate illiteracy,
create a gender-sensitiveeducational system, increase
enrolment and retention rates of girls and improve the quality
of education.
2C  Health
A holistic approach to women’s health which includes both
nutrition and health services should be adopted and special
attention should be given to the needs of women and the girl at
all stages of the life cycle. The reduction of infant mortality
and maternal mortality, which are sensitive indicators of
human development, is a priority concern. Women’s traditional
knowledge about health care and nutrition needs to be
recognized through proper documentation and its use shall be
encouraged.
3C Nutrition
In view of the high risk of malnutrition and disease that women
face at all the three critical stages viz., infancy and childhood,
adolescent and reproductive phase, focused attention should be
paid to meeting the nutritional needs of women at all stages of
the life cycle.
4C  Environment
The vast majority of rural women still depends on the locally
available non-commercial sources of energy such as animal
dung, crop waste and fuel wood. In order to ensure the
efficient use of these energy resources in an environmental
friendly manner.we should aim at promoting the programmes
of non-conventional energy resources. Women will be
involved in spreading the use of solar energy, biogas,
smokeless chulahs and other rural application so as to have a
Integrated Intelligent Research (IIR) International Journal of Data Mining Techniques and Applications
Volume: 02 Issue: 01 June 2013 Page No.8-11
ISSN: 2278-2419
10
visible impact of these measures in influencing eco system and
in changing the life styles of rural women.
5C  The role of mass media
The media should be encouraged to develop codes of conduct,
professional guidelines and other self regulatory mechanisms
to remove gender stereotypes and promote balanced portrayals
of women and men.
6C  Violence against women
All forms of violence against women, physical and mental,
whether at domestic or societal levels, including those arising
from customs, traditions or accepted practices shall be dealt
with effectively with a view to eliminate its incidence.
Institutions and mechanisms/schemes for assistance should be
created and strengthened for prevention of such violence,
including sexual harassment at work place and customs like
dowry; for the rehabilitation of the victims of violence and for
taking effective action against the perpetrators of such
violence. A special emphasis should also be laid on
programmes and measures to deal with trafficking in women
and girls.
7C  Rights of the girl child
All forms of discrimination against the girl child and violation
of her rights shall be eliminated by undertaking strong
measures both preventive and punitive within and outside the
family. These should relate specifically to strict enforcement of
laws against prenatal sex selection and the practices of
female foeticide, female infanticide, child marriage, child
abuse and child prostitution etc. Removal of discrimination in
the treatment of the girl child within the family and outside and
projection of a positive image of the girl child should be
actively fostered. In implementing programmes for eliminating
child labor, there will be a special focus on girl children.The
expert’s opinion is given as directed graph and the related
fuzzy relational matrix is given below:
Figure-1
0 1 1 0 0 1 1
1 0 1 0 0 1 0
0 1 0 0 0 1 0
0 1 0 0 0 0 0
1 1 1 0 0 1 0
0 1 1 0 1 0 1
1 1 1 0 0 1 0
E
 
 
 
 
 
  
 
 
    
  
Let E denotes the connection matrix of the directed graph.
Now to find the stability of the dynamical system or to be more
precise the hidden pattern of the system which may be a fixed
point or a limit cycle.We consider the state vector
 1 1 0 0 0 0 0 0C  .
That is, Education to be in the ON state and all other nodes are
in the OFF state, passing 1C in to the connection matrix E
We get
 1 1 1 1 0 0 1 1C E  
After thresholding we get
↪   21 1 1 0 0 0 1 C
Now passing 2C in to the connection matrix E we get
 2 2 3 3 0 0 4 1C E  
After thresholding we get
↪   21 1 1 0 0 0 1 C
Thus we conclude that hidden pattern is a fixed point which
shows education, health and nutrition leads to increase rights of
the girl child. This will create happiness in women’s life.
Let us consider the state vector
 1 0 0 1 0 0 0 0C  .
That is nutrition to be in the ON state all other nodes are in the
OFF state, passing 1C in to the connection matrix E We get
 1 0 1 1 0 0 1 0C E  
After thresholding we get
↪   20 1 1 0 0 0 0 C
Now passing 2C in to the connection matrix E We get
 2 1 1 2 0 0 2 0C E  
↪   31 1 1 0 0 0 0 C
Again passing 3C in to the connection matrix E We get
 3 1 2 3 0 0 3 1C E  
↪   41 1 1 0 0 0 1 C
Similarly,
 4 2 3 4 0 0 4 1C E  
↪   41 1 1 0 0 0 1 C
Thus hidden pattern is a fixed point.
Let us consider the state vector
 1 1 1 0 0 0 0 0C  .
That is education and health to be in the ON state and all other
nodes are in the OFF state, passing 1C in to the connection
matrix E We get,
 1 2 2 2 0 0 2 2C E  
↪   21 1 1 0 0 0 1 C
Now passing 2C in to the connection matrix E We get,
 2 3 3 3 0 0 4 2C E  
↪   21 1 1 0 0 0 1 C
Integrated Intelligent Research (IIR) International Journal of Data Mining Techniques and Applications
Volume: 02 Issue: 01 June 2013 Page No.8-11
ISSN: 2278-2419
11
Thus we conclude that hidden pattern is a fixed point. This also
shows education, health and nutrition leads to increase rights of
the girl child.
VI. CONCLUSION
From this we conclude that the empowerment of women
depends more on giving priority to education, health, nutrition
and the rights of the girl child. The needs of the girl child and
earmarking of substantial investments in the areas relating to
food and nutrition, health and education, and in vocational
education will improve happiness in woman’s life. By
educating its women, a country can reduce poverty, improve
productivity, ease population pressure and offer its children a
better future. Rights of the girl child will leads to equality,
sustainability, empowerment and happiness of women in their
environment.
REFERENCES
[1] Chant, S. (2008). ‘The “Feminisation of Poverty” and the “Feminisation”
of Anti-Poverty Programmes: Room for Revision?’ Journal of
Development Studies, 44(2):165–97.
[2] Cornwall, A., and J. Edwards (2010). ‘Introduction: Negotiating
Empowerment’. IDSBulletin, 41(2): 1–9.
[3] George J. klir and Bo Yuan., Fuzzy sets and Fuzzy logic Theory and
Application., prentice hall of India private limited,1997
[4] Grieg, A., D. Hulme, and M. Turner (2009). Challenging Global
Inequality:Development Theory and Practice in the 21st Century.
Basingstoke: PalgraveMacmillan.
[5] Kosko B., Neural Networks and Fuzzy Systems: A Dynamical Systems
Approach to Machine Intelligence, Prentice Hall of India Private Limited,
1997.
[6] Kosko B., Fuzzy Cognitive Maps, International Journal of Man-Machine
Studies, 65-75, January 1986.
[7] VasanthaKandasamy W.B., and Smarandache F., Fuzzy Cognitive Maps
and Neutrosophic Cognitive Maps, Xiquan, phoenix, 2003.
[8] VasanthaKandasamy W.B., and SmarandacheF., Fuzzy Relational
Equations and Neutrosophic Relational Equations,Neutrosophic Book
Series 3, Hexis, Church Rock, USA, 2004.
[9] Malhotra, A., S.R. Schuler, and C. Boender (2002).‘Measuring
Women’sEmpowerment as a Variable in International Development’.
Washington, DC: WorldBank

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The Empowerment of Women in Promoting Happiness in her Own Environment using Fuzzy Cognitive Maps

  • 1. Integrated Intelligent Research (IIR) International Journal of Data Mining Techniques and Applications Volume: 02 Issue: 01 June 2013 Page No.8-11 ISSN: 2278-2419 8 The Empowerment of Women in Promoting Happiness in her Own Environment using Fuzzy Cognitive Maps A. Victor Devadoss1 , K. Sudha2 PG and Research Department of Mathematics, Loyola College, Chennai, India Email: hanivictor@ymail.com , ashu.8788@gmail.com Abstract -Empowerment is now increasingly seen as a process by which the one’s without power gain greater control over their lives. This means control over material assets, intellectual resources and ideology. It involves power to, with and power within. Some define empowerment as a process of awareness and conscientization, of capacity building leading to greater participation, effective decision-making power and control leading to transformative action. In this paper we use Fuzzy Cognitive Maps to analyze the standard of living to empower women with decision making power over their work and income which in turn promotes happiness. Keywords- Empowerment of women, Standard of living, Happiness, Fuzzy Cognitive Maps. I. INTRODUCTION Empowerment is now increasingly seen as a process by which the one's without power gaingreater control over their lives. This means control over material assets, intellectualresources and ideology. It involves power to, power with and power within. Some defineempowerment as a process of awareness and conscientization, of capacity building leadingto greater participation, effective decision-making power and control leading totransformative action. This involves ability to get what one wants and to influence others onour concerns. With reference to women the power relation that has to be involved includestheir lives at multiple levels, family, community, market and the state. Importantly it involvesat the psychological level women's ability to assert themselves and this is constructed by the'gender roles' assigned to her specially in a cultural which resists change like India. In an effort to develop strategies for empowering women, some programmes are sensitive to recognizing women's contribution and their knowledge as the first step. They appreciate that women require principally social support to fight their sense of inadequacy and fears to enhance their self-respect and dignity. Empowering women means control over their bodies and becoming economically independent, controlling resources like land and property and reduction of burden of work. A society or programme which aims at women's empowerment needs to create and strengthen sisterhood and to promote overall nurturing, caring and gentleness. Researchers often emphasise on women Self-Help groups (SHG's) as a collective one such effort. Women are capable of these functions given sufficient, nutrition,education and other support. Women are most often not treated as subjects. II. CONCEPT OF EMPOWERMENT OF WOMEN Women's empowerment is a process in which women gain greater share of control over resources - material, human and intellectual like knowledge, information, ideas and financial resources like money - and access to money and control over decision-making in the home, community, society and nation, and to gain `power'. According to the Country Report of Government of India, "Empowerment means moving from a position of enforced powerlessness to one of power". There are various fields of empowerment related to women. In particularly here we analyze the problem of social empowerment of women like education, health, nutrition, drinking water and sanitation, environment, science and technology, women in difficult circumstances, violence against women, rights of the girl child and mass media. To develop this will leads to equality, sustainability, empowerment and happiness of women in their environment. III. HUMAN CAPABILITIES According to Martha Nussbaum (2003) first, that there are certain functions that are particularly central to human life. Second, that there is something do these in a truly human way, not a mere animal way.The list of capabilities that she draws is cross-cultural as necessary element of truly human functioning. They include: 1. Life-being able to live to the end of human life of normal length: not dying prematurely, orbefore one's life is so reduced as to be not worth living. 2. Bodily health – being able to have good health including reproductive health, to beadequately nourished, to have adequate shelter. 3. Bodily integrity – Being able to move freely from place to place, to be secure againstviolent assault, including sexual assault and domestic violence; having opportunities forsex satisfaction and for choice in matters of reproduction. 4. Senses, imagination and thought – Being able to use the sense, to imagine, think andreason in a truly human way including but not limited to literacy. Being able to use one'smind and imagination protected by freedom of expression. 5. Emotions – being able to have attachments, to love, to grieve to experience longinggratitude and justified anger. Not having one's emotional development blighted by fearand anxiety. 6. Practical Reason – Being able to form a conception of the good and to engage in criticalreflection about planning of one's life's protected by liberty of conscience. 7. Affiliation – Being able to live with and toward others to have social interactions, to havethe capability of both justice
  • 2. Integrated Intelligent Research (IIR) International Journal of Data Mining Techniques and Applications Volume: 02 Issue: 01 June 2013 Page No.8-11 ISSN: 2278-2419 9 and friendship. This would entail freedom of assembly andfree speech. Having social bases for self-respect and non- humiliation, being protectedagainst discrimination on the basis of race, sex sexual orientation religion caste orregion. 8. Other species – Being able to concern with nature. 9. Play – being able to laugh, play and enjoy. 10. Control over one's environment. a) Political. Being able to participate effectively in political choices that govern one's life,having the right to political participation, protection of free speech and association. b) Material. Being able to hold property to seek employment on equal bases and havingfreedom from unwarranted search and seizure. In work, being able to work as ahuman being, exercising practical reason and entering into meaningful relationshipsof mutual recognition with the workers. These capabilities cover the so called "first generation rights" (political & civil liberties) aswell as the "second generation rights" (economic and social rights. It has been emphasizedthat women all over the world have been short shifted and have not found support for theircentral human functions Women are ascapable as men of exercising will, controlling desires and taking decisions but males enjoysupport of social institutions and women are excluded as the 'other'. Women are often nottreated as "ends in themselves" persons with dignity who deserve respect from laws andinstitutions instead they are treated instrumentally as reproducers, caregivers, sexualreceivers, agents of family's general prosperity. IV. FUZZY COGNITIVE MAPS (FCM) The notion of Fuzzy Cognitive Maps (FCMs), which was introduced by Bart Kosko in the year 1986. FCMs have a major role to play mainly when the data concerned is an unsupervised one. The FCMs work on the opinion of experts. It can give the hidden pattern of the problem under analysis. Further this method is most simple and effective one as it can analyze the data by directed graphs and connection matrices. A. Basic notion for FCM An FCM is a directed graph with concepts like policies, events etc. as nodes and causalities as edges. It represents causal relationship between concepts. When the nodes of the FCM are fuzzy setsthen they are called as fuzzy nodes. FCMs with edge weights or causalitiesfrom the set {–1, 0, 1} are called simple FCMs.Consider the nodes / concepts C1, …,Cn ofthe FCM. Suppose the directed graph is drawn using Edge weight eij∈ {0, 1, –1}. The matrix E be defined by E= (eij) where eij is the weight of the directed edge CiCj E is called the adjacency matrix of the FCM also known as the connection matrix of the FCM.Let C1, C2, … ,Cn be the nodes of an FCM. A = (a1, a2, … , an) where ai∈{0, 1}. A is called theinstantaneous state vector and it denotes the on-off position of the node at an instant. ai = 0 if ai is off and ai = 1 ifaiis on for i= 1, 2, …,n. Let C1, C2, … ,Cn be the nodes of anFCM. Let C1C2 , C2C3 , C3C4 ,…, CiCjbe the edges of The FCM (i ≠ j). Then the edges form a directed cycle. An FCM is said to be cyclic if it possesses a directed cycle. An FCM is said to be acyclic if it does not possess any directed cycle.An FCM with cycles is said to have a feedback. When there is a feedback in an FCM, i.e., when the causal relations flow through a cycle in a revolutionary way, the FCM is called a dynamical system. Let C1C2 , C2C3 ,…,Cn−1Cn be a cycle.WhenCi is switched on and if the causality flows through the edges of a cycle and if it again causes Ci , we say that the dynamical system goes round and round. This is true for any node Ci , for i = 1, 2, … , n. The equilibrium state for this dynamical system is called the hidden pattern. If the equilibrium state of a dynamicalsystem is a unique state vector, then it is called a fixed point. If the FCM settles down with a statevector repeating in the formA1 → A2 → … → Ai → A1 then this equilibrium is called a limit cycle V. ADAPTATION OF FCM TO THE PROBLEM We use the following seven nodes of FCM which are labeled as follows 1C  Education Equal access to education for women and girls needs to be ensured. Special measures should be taken to eliminate discrimination, universalize education, eradicate illiteracy, create a gender-sensitiveeducational system, increase enrolment and retention rates of girls and improve the quality of education. 2C  Health A holistic approach to women’s health which includes both nutrition and health services should be adopted and special attention should be given to the needs of women and the girl at all stages of the life cycle. The reduction of infant mortality and maternal mortality, which are sensitive indicators of human development, is a priority concern. Women’s traditional knowledge about health care and nutrition needs to be recognized through proper documentation and its use shall be encouraged. 3C Nutrition In view of the high risk of malnutrition and disease that women face at all the three critical stages viz., infancy and childhood, adolescent and reproductive phase, focused attention should be paid to meeting the nutritional needs of women at all stages of the life cycle. 4C  Environment The vast majority of rural women still depends on the locally available non-commercial sources of energy such as animal dung, crop waste and fuel wood. In order to ensure the efficient use of these energy resources in an environmental friendly manner.we should aim at promoting the programmes of non-conventional energy resources. Women will be involved in spreading the use of solar energy, biogas, smokeless chulahs and other rural application so as to have a
  • 3. Integrated Intelligent Research (IIR) International Journal of Data Mining Techniques and Applications Volume: 02 Issue: 01 June 2013 Page No.8-11 ISSN: 2278-2419 10 visible impact of these measures in influencing eco system and in changing the life styles of rural women. 5C  The role of mass media The media should be encouraged to develop codes of conduct, professional guidelines and other self regulatory mechanisms to remove gender stereotypes and promote balanced portrayals of women and men. 6C  Violence against women All forms of violence against women, physical and mental, whether at domestic or societal levels, including those arising from customs, traditions or accepted practices shall be dealt with effectively with a view to eliminate its incidence. Institutions and mechanisms/schemes for assistance should be created and strengthened for prevention of such violence, including sexual harassment at work place and customs like dowry; for the rehabilitation of the victims of violence and for taking effective action against the perpetrators of such violence. A special emphasis should also be laid on programmes and measures to deal with trafficking in women and girls. 7C  Rights of the girl child All forms of discrimination against the girl child and violation of her rights shall be eliminated by undertaking strong measures both preventive and punitive within and outside the family. These should relate specifically to strict enforcement of laws against prenatal sex selection and the practices of female foeticide, female infanticide, child marriage, child abuse and child prostitution etc. Removal of discrimination in the treatment of the girl child within the family and outside and projection of a positive image of the girl child should be actively fostered. In implementing programmes for eliminating child labor, there will be a special focus on girl children.The expert’s opinion is given as directed graph and the related fuzzy relational matrix is given below: Figure-1 0 1 1 0 0 1 1 1 0 1 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 0 0 1 0 0 1 1 0 1 0 1 1 1 1 0 0 1 0 E                          Let E denotes the connection matrix of the directed graph. Now to find the stability of the dynamical system or to be more precise the hidden pattern of the system which may be a fixed point or a limit cycle.We consider the state vector  1 1 0 0 0 0 0 0C  . That is, Education to be in the ON state and all other nodes are in the OFF state, passing 1C in to the connection matrix E We get  1 1 1 1 0 0 1 1C E   After thresholding we get ↪   21 1 1 0 0 0 1 C Now passing 2C in to the connection matrix E we get  2 2 3 3 0 0 4 1C E   After thresholding we get ↪   21 1 1 0 0 0 1 C Thus we conclude that hidden pattern is a fixed point which shows education, health and nutrition leads to increase rights of the girl child. This will create happiness in women’s life. Let us consider the state vector  1 0 0 1 0 0 0 0C  . That is nutrition to be in the ON state all other nodes are in the OFF state, passing 1C in to the connection matrix E We get  1 0 1 1 0 0 1 0C E   After thresholding we get ↪   20 1 1 0 0 0 0 C Now passing 2C in to the connection matrix E We get  2 1 1 2 0 0 2 0C E   ↪   31 1 1 0 0 0 0 C Again passing 3C in to the connection matrix E We get  3 1 2 3 0 0 3 1C E   ↪   41 1 1 0 0 0 1 C Similarly,  4 2 3 4 0 0 4 1C E   ↪   41 1 1 0 0 0 1 C Thus hidden pattern is a fixed point. Let us consider the state vector  1 1 1 0 0 0 0 0C  . That is education and health to be in the ON state and all other nodes are in the OFF state, passing 1C in to the connection matrix E We get,  1 2 2 2 0 0 2 2C E   ↪   21 1 1 0 0 0 1 C Now passing 2C in to the connection matrix E We get,  2 3 3 3 0 0 4 2C E   ↪   21 1 1 0 0 0 1 C
  • 4. Integrated Intelligent Research (IIR) International Journal of Data Mining Techniques and Applications Volume: 02 Issue: 01 June 2013 Page No.8-11 ISSN: 2278-2419 11 Thus we conclude that hidden pattern is a fixed point. This also shows education, health and nutrition leads to increase rights of the girl child. VI. CONCLUSION From this we conclude that the empowerment of women depends more on giving priority to education, health, nutrition and the rights of the girl child. The needs of the girl child and earmarking of substantial investments in the areas relating to food and nutrition, health and education, and in vocational education will improve happiness in woman’s life. By educating its women, a country can reduce poverty, improve productivity, ease population pressure and offer its children a better future. Rights of the girl child will leads to equality, sustainability, empowerment and happiness of women in their environment. REFERENCES [1] Chant, S. (2008). ‘The “Feminisation of Poverty” and the “Feminisation” of Anti-Poverty Programmes: Room for Revision?’ Journal of Development Studies, 44(2):165–97. [2] Cornwall, A., and J. Edwards (2010). ‘Introduction: Negotiating Empowerment’. IDSBulletin, 41(2): 1–9. [3] George J. klir and Bo Yuan., Fuzzy sets and Fuzzy logic Theory and Application., prentice hall of India private limited,1997 [4] Grieg, A., D. Hulme, and M. Turner (2009). Challenging Global Inequality:Development Theory and Practice in the 21st Century. Basingstoke: PalgraveMacmillan. [5] Kosko B., Neural Networks and Fuzzy Systems: A Dynamical Systems Approach to Machine Intelligence, Prentice Hall of India Private Limited, 1997. [6] Kosko B., Fuzzy Cognitive Maps, International Journal of Man-Machine Studies, 65-75, January 1986. [7] VasanthaKandasamy W.B., and Smarandache F., Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps, Xiquan, phoenix, 2003. [8] VasanthaKandasamy W.B., and SmarandacheF., Fuzzy Relational Equations and Neutrosophic Relational Equations,Neutrosophic Book Series 3, Hexis, Church Rock, USA, 2004. [9] Malhotra, A., S.R. Schuler, and C. Boender (2002).‘Measuring Women’sEmpowerment as a Variable in International Development’. Washington, DC: WorldBank