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University of Basilicata                                                                                                                                                        LISUT
            Faculty of Engineering                                                                                                      Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali

            Department of Architecture, Planning and Transport                                                                          Laboratory of Urban and Regional Systems Engineering
            Infrastructure




                                Ontology	
  and	
  spa-al	
  planning.	
  


                                                                  Beniamino	
  Murgante,	
  Francesco	
  Scorza	
  
                                                                                     	
  
                                     Università	
  della	
  Basilicata	
  –	
  Laoratorio	
  di	
  Ingegneria	
  dei	
  Sistemi	
  Urbani	
  e	
  Territoriali	
  (LISUT)	
  	
  
                                      University	
  of	
  Basilicata	
  –	
  Laboratory	
  of	
  Urban	
  and	
  Regional	
  Systems	
  Engineering	
  (LISUT),	
  	
  
                                                                Viale	
  dell Ateneo	
  Lucano	
  10,	
  85100,	
  Potenza	
  –	
  Italy	
  
                                                                                   Name.surname@unibas.it	
  	
  



ICCSA 2011 – University of Cantabria, Santander, SPAIN                                                                                                                                 Ing. Francesco Scorza
University of Basilicata                                                                                              LISUT
     Faculty of Engineering                                            Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali

     Department of Architecture, Planning and Transport                Laboratory of Urban and Regional Systems Engineering
     Infrastructure




                                                          Index:	
  
•      Lack	
  of	
  data	
  vs	
  interoperability	
  
•      SemanRc	
  barriers	
  and	
  ontology	
  
•      Broad	
  ontology	
  
•      Conclusions	
  
University of Basilicata                                                                                          LISUT
Faculty of Engineering                                        Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali

Department of Architecture, Planning and Transport            Laboratory of Urban and Regional Systems Engineering
Infrastructure




                      Lack	
  of	
  data	
  vs	
  interoperability	
  

                                              “Isolated” data set

     Recent trends:
     •  Wiki approach in data production
     •  Volunteered geographic information
     •  Crowdsourcing
     •  Neogeography (geotg, blogs, etc.)
     •  …
University of Basilicata                                                                                   LISUT
Faculty of Engineering                                 Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali

Department of Architecture, Planning and Transport      Laboratory of Urban and Regional Systems Engineering
Infrastructure




                      Lack	
  of	
  data	
  vs	
  interoperability	
  
     Three main barriers:

     •  Bureaucratic: poor practice in sharing data
     •  Technological: differences between systems
        and data formats
     •  Semantic: lack of correspondance in
        meanings.
University of Basilicata                                                                                             LISUT
Faculty of Engineering                                           Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali

Department of Architecture, Planning and Transport               Laboratory of Urban and Regional Systems Engineering
Infrastructure




                                              SemanRc	
  barriers	
  

… the main issue in usign GIS is “where is located an
object” without thinking in deep about “what you are
looking for” …..
University of Basilicata                                                                                              LISUT
Faculty of Engineering                                            Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali

Department of Architecture, Planning and Transport                Laboratory of Urban and Regional Systems Engineering
Infrastructure




                                              SemanRc	
  barriers	
  

… the main issue in usign GIS is “where is located an
object” without thinking in deep about “what you are
looking for” …..




                                                        Obj.
                                                           	
  
University of Basilicata                                                                                                LISUT
  Faculty of Engineering                                              Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali

  Department of Architecture, Planning and Transport                  Laboratory of Urban and Regional Systems Engineering
  Infrastructure




                                                       Ontology	
  
A tool for achieving database integration and interoperability


Planning issues:
•  Complexity
•  Detailed analysis                                                           SemanRc	
  
•  Domains specialists
•  Perceived visions
                                                                              agreement    	
  
•  Conflicting interests
•  Uncertainty
•  …
University of Basilicata                                                                                                      LISUT
Faculty of Engineering                                                    Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali

Department of Architecture, Planning and Transport                         Laboratory of Urban and Regional Systems Engineering
Infrastructure




                                                     Broad	
  ontology	
  


                                   DefiniRon	
  of	
  …	
                        Ontology	
  

      Obj.
         	
                        DefiniRon	
  of	
  …	
            DefiniRon	
  of	
  …	
  
                                   DefiniRon	
  of	
  …	
  
                                                                     AYributes	
  …	
  
                                   DefiniRon	
  of	
  …	
  
                                                                      RelaRons	
  …	
  
University of Basilicata                                                                                                    LISUT
Faculty of Engineering                                                  Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali

Department of Architecture, Planning and Transport                      Laboratory of Urban and Regional Systems Engineering
Infrastructure




                                                     Broad	
  ontology	
  
University of Basilicata                                                                                                    LISUT
     Faculty of Engineering                                                  Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali

     Department of Architecture, Planning and Transport                      Laboratory of Urban and Regional Systems Engineering
     Infrastructure




                                                          Broad	
  ontology	
  




a)




c)                                                                  b)
University of Basilicata                                                                                                           LISUT
Faculty of Engineering                                                         Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali

Department of Architecture, Planning and Transport                             Laboratory of Urban and Regional Systems Engineering
Infrastructure




                                                     Broad	
  ontology	
  




                                                                                                          !
                                                        9-intersection model
University of Basilicata                                                                                                       LISUT
Faculty of Engineering                                                     Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali

Department of Architecture, Planning and Transport                          Laboratory of Urban and Regional Systems Engineering
Infrastructure




                                                     Broad	
  ontology	
  




                                                                                        !
                                                       Broad boundaries model
University of Basilicata                                                                                                        LISUT
   Faculty of Engineering                                                      Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali

   Department of Architecture, Planning and Transport                          Laboratory of Urban and Regional Systems Engineering
   Infrastructure




                                                          Rough	
  set
                                                                     	
  
                                                   Information System
                                                        IS = (U, A)
Let U be a nonempty finite set of objects called the universe
                   U = { 1, x2, x3, x4 , x5, x6,............, xn }
                        x
Let A be a nonempty finite set of attributes
                                              A = { 1, A2, A3}
                                                   A
              ! a"A # Va = value set (domain of attribute)
  V1 = { ,2, 3 }
        1
  V2 = { , 2}
        1
  V3 = { ,2, 3, 4}
        1                                                               R e v u e d e s N o u v e l l e s Te c h n o l o g i e s d e
                                                                        l'Information, Éditions Cépaduès, France
University of Basilicata                                                                                                      LISUT
         Faculty of Engineering                                                    Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali

         Department of Architecture, Planning and Transport                        Laboratory of Urban and Regional Systems Engineering
         Infrastructure




                                                              Rough	
  set
                                                                         	
                                U            a1 a2 a3
                                                                                                           x1           2           1            3
                                    Information System                                                     X2           3           2            1
                                                                                                           X3           2           1            3
                                                                                                           X4           2           2            3
     f : U → Va
      a                               information function                                                 X5           1           1            4
                                                                                                           X6           1           1            2
                                                                                                           X7           3           2            1
                                                                                                           X8           1           1            4
                                                                                                           X9           2           1            3
                                                                                                           x10 3                    2            1

Murgante B., Las Casas G., Sansone A., (2008) “ A spatial rough             R e v u e d e s N o u v e l l e s Te c h n o l o g i e s d e
set for extracting periurban fringe”                                        l'Information, Éditions Cépaduès, France
University of Basilicata                                                                                                        LISUT
   Faculty of Engineering                                                      Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali

   Department of Architecture, Planning and Transport                          Laboratory of Urban and Regional Systems Engineering
   Infrastructure




                                                          Rough	
  set
                                                                     	
                         U             a1 a2 a3 d1
                                                                                                x1            2          1          3        1
   Decision System	
  
                                                                                                X2            3          2          1        4
A decision system is an                                                                         X3            2          1          3        5
  information system in which                                                                   X4            2          2          3        2
  the values of a special
                                                                                                X5            1          1          4        2
  decision attribute classify the
  cases                                                                                         X6            1          1          2        4
                                                                                                X7            3          2          1        1
   DS = (U, A ∪ d )                                       d≠A                                   X8            1          1          4        2
                                                                                                X9            2          1          3        3
    other attributes                                    a ! A- {d}                              x10 3                    2          1        2
    Conditional Attributes
                                                                        R e v u e d e s N o u v e l l e s Te c h n o l o g i e s d e
                                                                        l'Information, Éditions Cépaduès, France
University of Basilicata                                                                                                      LISUT
         Faculty of Engineering                                                    Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali

         Department of Architecture, Planning and Transport                        Laboratory of Urban and Regional Systems Engineering
         Infrastructure




                                                              Rough	
  set
                                                                         	
  
                                                                                Lower Approximation
                                                                                            {
                                                                                LX = xi ∈ U [xi ]ind ( B ) ⊂ X                                       }
                                                                                                Equivalence
                                                                                                 classes
                                                                                 Upper Approximation
                                                                                        {
                                                                                UX = xi ∈U [xi ]ind ( B) ∩ X ≠ ∅                                 }
                                                                                 Accuracy
                                                                                µB ( X ) = card(LX ) / card(UX )


  BX = UX − LX Boundary region                                           If BX = ∅ then the set X is Crisp
Murgante B., Las Casas G., Sansone A., (2008) “ A spatial rough          If BX ≠ ∅ then the set X is Rough
set for extracting periurban fringe”
University of Basilicata                                                                                            LISUT
Faculty of Engineering                                          Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali

Department of Architecture, Planning and Transport              Laboratory of Urban and Regional Systems Engineering
Infrastructure




                                                     ReDO	
  
                                                                                                 !"#$$%$
                                                                                                 &'"(!)
                                                                                                 *''"$
                                                                                                 #!*'+
                                                                                                 &+',%!*
                                                                                                 &"#-
                                                                                                 &+'.+#/
                                                                                                 %-0(+'-/%-*




                                                                                            4;0/<9=!>?;@
                                                                                          !"    !"##$%&'(
                                                                                          !#    )*+,-'&.,
                                                                                          !$    /-'&"%
                                                                                          !%    !"##&'#,%'
                                                                                          !&    0,1%
                                                                                          !'    2"13
                                                                                          !(    4'51',6(
                                                                                          !)    7$*3&-
                                                                                          !*    !"8'
                                                                                          !"+   918:
University of Basilicata                                                                                            LISUT
Faculty of Engineering                                          Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali

Department of Architecture, Planning and Transport              Laboratory of Urban and Regional Systems Engineering
Infrastructure




                                                     ReDO	
  
University of Basilicata                                                                                                                  LISUT
 Faculty of Engineering                                                                Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali

 Department of Architecture, Planning and Transport                                    Laboratory of Urban and Regional Systems Engineering
 Infrastructure




                                                               ReDO	
  
                                                                      1%)23'+4$2!+(*%+(#
!"#$$%$                     !"             !#         !$       !%        !&       !'          !(              !)              !*             !"+
&'"(!)                             !             "         #        !                  "                             !
*''"$                                                                        !         "
#!*'+                                                                                                                !
&+',%!*                                                                                                                              !               !
&"#-                                             !         !                          "
&+'.+#/                                          #         "                 !        "              !
%-0(+'-/%-*                        #             "         #                                         !




    4;0/<9=!>?;@
  !"    !"##$%&'(
  !#    )*+,-'&.,
  !$    /-'&"%
  !%    !"##&'#,%'
  !&    0,1%
  !'    2"13
  !(    4'51',6(
  !)    7$*3&-
  !*    !"8'
  !"+   918:
University of Basilicata                                                                                            LISUT
Faculty of Engineering                                          Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali

Department of Architecture, Planning and Transport              Laboratory of Urban and Regional Systems Engineering
Infrastructure




                                                     ReDO	
  




               ROSE 2
University of Basilicata                                                                                            LISUT
    Faculty of Engineering                                          Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali

    Department of Architecture, Planning and Transport              Laboratory of Urban and Regional Systems Engineering
    Infrastructure




                                                         ReDO	
  
#                     LEM2
#                     C:Documents and SettingsLTDesktopReDO.ISF
#                     objects = 7
#                     attributes = 11
#                     decision = a6
#                     classes = {1, 3}
#                     0s

rule 1. (a2 = 0) & (a5 = 0) => (a6 = 0); [2, 2, 66.67%, 100.00%][2, 0]
[{3, 4}, {}]
rule 2. (a1 = 3) => (a6 = 0); [1, 1, 33.33%, 100.00%][1, 0]
[{7}, {}]
rule 3. (a1 = 0) & (a8 = 0) & (a10 = 0) => (a6 = 2); [3, 3, 75.00%, 100.00%][0, 3]
[{}, {2, 5, 6}]
rule 4. (a1 = 1) => (a6 = 2); [1, 1, 25.00%, 100.00%][0, 1]
[{}, {1}]
**END
University of Basilicata                                                                                                                  LISUT
 Faculty of Engineering                                                                Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali

 Department of Architecture, Planning and Transport                                    Laboratory of Urban and Regional Systems Engineering
 Infrastructure




                                                               ReDO	
  
                                                                      1%)23'+4$2!+(*%+(#
!"#$$%$                     !"             !#         !$       !%        !&       !'          !(              !)              !*             !"+
&'"(!)                             !             "         #        !                  "                             !
*''"$                                                                        !         "
#!*'+                                                                                                                !
&+',%!*                                                                                                                              !               !
&"#-                                             !         !                          "
&+'.+#/                                          #         "                 !        "              !
%-0(+'-/%-*                        #             "         #                                         !




    4;0/<9=!>?;@                       rule 1. (a2 = 0) & (a5 = 0) => (a6 = 0); [2, 2, 66.67%, 100.00%][2, 0]
  !"    !"##$%&'(
  !#    )*+,-'&.,                      rule 2. (a1 = 3) => (a6 = 0); [1, 1, 33.33%, 100.00%][1, 0]
  !$    /-'&"%
  !%    !"##&'#,%'
                                       rule 3. (a1 = 0) & (a8 = 0) & (a10 = 0) => (a6 = 2); [3, 3, 75.00%, 100.00%][0, 3]
  !&    0,1%
  !'    2"13
  !(    4'51',6(
                                       rule 4. (a1 = 1) => (a6 = 2); [1, 1, 25.00%, 100.00%][0, 1]
  !)    7$*3&-
  !*    !"8'
  !"+   918:
University of Basilicata                                                                                                   LISUT
  Faculty of Engineering                                                 Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali

  Department of Architecture, Planning and Transport                     Laboratory of Urban and Regional Systems Engineering
  Infrastructure




                                                       Conclusions	
  
•  Interoperability	
  -­‐>	
  produced	
  “unified	
  legends”	
  ??	
  
•  SDI	
  -­‐>	
  semanRc	
  approach	
  could	
  reinforce	
  the	
  
   usability	
  of	
  the	
  systems	
  	
  
•  SemanRc	
  correspondence	
  brings	
  to	
  interoperability	
  	
  
   not	
  only	
  between	
  data	
  sets	
  but	
  also	
  in	
  the	
  process	
  of	
  
   management	
  plans	
  and	
  intervenRon	
  programs.	
  
 
                                                 Thanks	
  
	
  
       	
   	
     	
         	
        	
  Ing.	
  Francesco	
  Scorza	
  
	
  
PhD	
  Student	
  at	
  
University	
  of	
  Basilicata	
  -­‐	
  Faculty	
  of	
  Engineering	
  
Department	
  of	
  Architecture,	
  Planning	
  and	
  Transport	
  Infrastructure	
  (DAPIT)	
  
Laboratory	
  of	
  Urban	
  and	
  Regional	
  Systems	
  Engineering	
  (LISUT)	
  
Viale	
  dell’Ateneo	
  Lucano,	
  10	
  
85100	
  Potenza	
  –	
  Italy	
  
www.lisut.org	
  
francesco.scorza@unibas.it	
  
Skype:	
  francescoscorza	
  
Tel:	
  0039.347.7001363	
  

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Ontology and spatial planning

  • 1. University of Basilicata LISUT Faculty of Engineering Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali Department of Architecture, Planning and Transport Laboratory of Urban and Regional Systems Engineering Infrastructure Ontology  and  spa-al  planning.   Beniamino  Murgante,  Francesco  Scorza     Università  della  Basilicata  –  Laoratorio  di  Ingegneria  dei  Sistemi  Urbani  e  Territoriali  (LISUT)     University  of  Basilicata  –  Laboratory  of  Urban  and  Regional  Systems  Engineering  (LISUT),     Viale  dell Ateneo  Lucano  10,  85100,  Potenza  –  Italy   Name.surname@unibas.it     ICCSA 2011 – University of Cantabria, Santander, SPAIN Ing. Francesco Scorza
  • 2. University of Basilicata LISUT Faculty of Engineering Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali Department of Architecture, Planning and Transport Laboratory of Urban and Regional Systems Engineering Infrastructure Index:   •  Lack  of  data  vs  interoperability   •  SemanRc  barriers  and  ontology   •  Broad  ontology   •  Conclusions  
  • 3. University of Basilicata LISUT Faculty of Engineering Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali Department of Architecture, Planning and Transport Laboratory of Urban and Regional Systems Engineering Infrastructure Lack  of  data  vs  interoperability   “Isolated” data set Recent trends: •  Wiki approach in data production •  Volunteered geographic information •  Crowdsourcing •  Neogeography (geotg, blogs, etc.) •  …
  • 4. University of Basilicata LISUT Faculty of Engineering Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali Department of Architecture, Planning and Transport Laboratory of Urban and Regional Systems Engineering Infrastructure Lack  of  data  vs  interoperability   Three main barriers: •  Bureaucratic: poor practice in sharing data •  Technological: differences between systems and data formats •  Semantic: lack of correspondance in meanings.
  • 5. University of Basilicata LISUT Faculty of Engineering Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali Department of Architecture, Planning and Transport Laboratory of Urban and Regional Systems Engineering Infrastructure SemanRc  barriers   … the main issue in usign GIS is “where is located an object” without thinking in deep about “what you are looking for” …..
  • 6. University of Basilicata LISUT Faculty of Engineering Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali Department of Architecture, Planning and Transport Laboratory of Urban and Regional Systems Engineering Infrastructure SemanRc  barriers   … the main issue in usign GIS is “where is located an object” without thinking in deep about “what you are looking for” ….. Obj.  
  • 7. University of Basilicata LISUT Faculty of Engineering Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali Department of Architecture, Planning and Transport Laboratory of Urban and Regional Systems Engineering Infrastructure Ontology   A tool for achieving database integration and interoperability Planning issues: •  Complexity •  Detailed analysis SemanRc   •  Domains specialists •  Perceived visions agreement   •  Conflicting interests •  Uncertainty •  …
  • 8. University of Basilicata LISUT Faculty of Engineering Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali Department of Architecture, Planning and Transport Laboratory of Urban and Regional Systems Engineering Infrastructure Broad  ontology   DefiniRon  of  …   Ontology   Obj.   DefiniRon  of  …   DefiniRon  of  …   DefiniRon  of  …   AYributes  …   DefiniRon  of  …   RelaRons  …  
  • 9. University of Basilicata LISUT Faculty of Engineering Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali Department of Architecture, Planning and Transport Laboratory of Urban and Regional Systems Engineering Infrastructure Broad  ontology  
  • 10. University of Basilicata LISUT Faculty of Engineering Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali Department of Architecture, Planning and Transport Laboratory of Urban and Regional Systems Engineering Infrastructure Broad  ontology   a) c) b)
  • 11. University of Basilicata LISUT Faculty of Engineering Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali Department of Architecture, Planning and Transport Laboratory of Urban and Regional Systems Engineering Infrastructure Broad  ontology   ! 9-intersection model
  • 12. University of Basilicata LISUT Faculty of Engineering Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali Department of Architecture, Planning and Transport Laboratory of Urban and Regional Systems Engineering Infrastructure Broad  ontology   ! Broad boundaries model
  • 13. University of Basilicata LISUT Faculty of Engineering Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali Department of Architecture, Planning and Transport Laboratory of Urban and Regional Systems Engineering Infrastructure Rough  set   Information System IS = (U, A) Let U be a nonempty finite set of objects called the universe U = { 1, x2, x3, x4 , x5, x6,............, xn } x Let A be a nonempty finite set of attributes A = { 1, A2, A3} A ! a"A # Va = value set (domain of attribute) V1 = { ,2, 3 } 1 V2 = { , 2} 1 V3 = { ,2, 3, 4} 1 R e v u e d e s N o u v e l l e s Te c h n o l o g i e s d e l'Information, Éditions Cépaduès, France
  • 14. University of Basilicata LISUT Faculty of Engineering Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali Department of Architecture, Planning and Transport Laboratory of Urban and Regional Systems Engineering Infrastructure Rough  set   U a1 a2 a3 x1 2 1 3 Information System X2 3 2 1 X3 2 1 3 X4 2 2 3 f : U → Va a information function X5 1 1 4 X6 1 1 2 X7 3 2 1 X8 1 1 4 X9 2 1 3 x10 3 2 1 Murgante B., Las Casas G., Sansone A., (2008) “ A spatial rough R e v u e d e s N o u v e l l e s Te c h n o l o g i e s d e set for extracting periurban fringe” l'Information, Éditions Cépaduès, France
  • 15. University of Basilicata LISUT Faculty of Engineering Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali Department of Architecture, Planning and Transport Laboratory of Urban and Regional Systems Engineering Infrastructure Rough  set   U a1 a2 a3 d1 x1 2 1 3 1 Decision System   X2 3 2 1 4 A decision system is an X3 2 1 3 5 information system in which X4 2 2 3 2 the values of a special X5 1 1 4 2 decision attribute classify the cases X6 1 1 2 4 X7 3 2 1 1 DS = (U, A ∪ d ) d≠A X8 1 1 4 2 X9 2 1 3 3 other attributes a ! A- {d} x10 3 2 1 2 Conditional Attributes R e v u e d e s N o u v e l l e s Te c h n o l o g i e s d e l'Information, Éditions Cépaduès, France
  • 16. University of Basilicata LISUT Faculty of Engineering Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali Department of Architecture, Planning and Transport Laboratory of Urban and Regional Systems Engineering Infrastructure Rough  set   Lower Approximation { LX = xi ∈ U [xi ]ind ( B ) ⊂ X } Equivalence classes Upper Approximation { UX = xi ∈U [xi ]ind ( B) ∩ X ≠ ∅ } Accuracy µB ( X ) = card(LX ) / card(UX ) BX = UX − LX Boundary region If BX = ∅ then the set X is Crisp Murgante B., Las Casas G., Sansone A., (2008) “ A spatial rough If BX ≠ ∅ then the set X is Rough set for extracting periurban fringe”
  • 17. University of Basilicata LISUT Faculty of Engineering Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali Department of Architecture, Planning and Transport Laboratory of Urban and Regional Systems Engineering Infrastructure ReDO   !"#$$%$ &'"(!) *''"$ #!*'+ &+',%!* &"#- &+'.+#/ %-0(+'-/%-* 4;0/<9=!>?;@ !" !"##$%&'( !# )*+,-'&., !$ /-'&"% !% !"##&'#,%' !& 0,1% !' 2"13 !( 4'51',6( !) 7$*3&- !* !"8' !"+ 918:
  • 18. University of Basilicata LISUT Faculty of Engineering Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali Department of Architecture, Planning and Transport Laboratory of Urban and Regional Systems Engineering Infrastructure ReDO  
  • 19. University of Basilicata LISUT Faculty of Engineering Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali Department of Architecture, Planning and Transport Laboratory of Urban and Regional Systems Engineering Infrastructure ReDO   1%)23'+4$2!+(*%+(# !"#$$%$ !" !# !$ !% !& !' !( !) !* !"+ &'"(!) ! " # ! " ! *''"$ ! " #!*'+ ! &+',%!* ! ! &"#- ! ! " &+'.+#/ # " ! " ! %-0(+'-/%-* # " # ! 4;0/<9=!>?;@ !" !"##$%&'( !# )*+,-'&., !$ /-'&"% !% !"##&'#,%' !& 0,1% !' 2"13 !( 4'51',6( !) 7$*3&- !* !"8' !"+ 918:
  • 20. University of Basilicata LISUT Faculty of Engineering Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali Department of Architecture, Planning and Transport Laboratory of Urban and Regional Systems Engineering Infrastructure ReDO   ROSE 2
  • 21. University of Basilicata LISUT Faculty of Engineering Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali Department of Architecture, Planning and Transport Laboratory of Urban and Regional Systems Engineering Infrastructure ReDO   # LEM2 # C:Documents and SettingsLTDesktopReDO.ISF # objects = 7 # attributes = 11 # decision = a6 # classes = {1, 3} # 0s rule 1. (a2 = 0) & (a5 = 0) => (a6 = 0); [2, 2, 66.67%, 100.00%][2, 0] [{3, 4}, {}] rule 2. (a1 = 3) => (a6 = 0); [1, 1, 33.33%, 100.00%][1, 0] [{7}, {}] rule 3. (a1 = 0) & (a8 = 0) & (a10 = 0) => (a6 = 2); [3, 3, 75.00%, 100.00%][0, 3] [{}, {2, 5, 6}] rule 4. (a1 = 1) => (a6 = 2); [1, 1, 25.00%, 100.00%][0, 1] [{}, {1}] **END
  • 22. University of Basilicata LISUT Faculty of Engineering Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali Department of Architecture, Planning and Transport Laboratory of Urban and Regional Systems Engineering Infrastructure ReDO   1%)23'+4$2!+(*%+(# !"#$$%$ !" !# !$ !% !& !' !( !) !* !"+ &'"(!) ! " # ! " ! *''"$ ! " #!*'+ ! &+',%!* ! ! &"#- ! ! " &+'.+#/ # " ! " ! %-0(+'-/%-* # " # ! 4;0/<9=!>?;@ rule 1. (a2 = 0) & (a5 = 0) => (a6 = 0); [2, 2, 66.67%, 100.00%][2, 0] !" !"##$%&'( !# )*+,-'&., rule 2. (a1 = 3) => (a6 = 0); [1, 1, 33.33%, 100.00%][1, 0] !$ /-'&"% !% !"##&'#,%' rule 3. (a1 = 0) & (a8 = 0) & (a10 = 0) => (a6 = 2); [3, 3, 75.00%, 100.00%][0, 3] !& 0,1% !' 2"13 !( 4'51',6( rule 4. (a1 = 1) => (a6 = 2); [1, 1, 25.00%, 100.00%][0, 1] !) 7$*3&- !* !"8' !"+ 918:
  • 23. University of Basilicata LISUT Faculty of Engineering Laboratorio di Ingegneria dei Sistemi Urbani e Territoriali Department of Architecture, Planning and Transport Laboratory of Urban and Regional Systems Engineering Infrastructure Conclusions   •  Interoperability  -­‐>  produced  “unified  legends”  ??   •  SDI  -­‐>  semanRc  approach  could  reinforce  the   usability  of  the  systems     •  SemanRc  correspondence  brings  to  interoperability     not  only  between  data  sets  but  also  in  the  process  of   management  plans  and  intervenRon  programs.  
  • 24.   Thanks              Ing.  Francesco  Scorza     PhD  Student  at   University  of  Basilicata  -­‐  Faculty  of  Engineering   Department  of  Architecture,  Planning  and  Transport  Infrastructure  (DAPIT)   Laboratory  of  Urban  and  Regional  Systems  Engineering  (LISUT)   Viale  dell’Ateneo  Lucano,  10   85100  Potenza  –  Italy   www.lisut.org   francesco.scorza@unibas.it   Skype:  francescoscorza   Tel:  0039.347.7001363