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DIJKSTRA’S ALGORITHM BASED ON NEUTROSOPHIC
                                                                                                                        SET FOR SOLVING TRANSPORTATION PROBLEM


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                                                                                                                                                           NORSARAH FARHANA BINTI AZHAR  (2022616332)





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                                                                                                                                               SUPERVISOR: DR SITI NURUL FITRIAH BINTI MOHAMAD
                                                                            1 - ABSTRACT
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                        This  study  modifies  the  classical  Dijkstra’s  algorithm  by  incorporating  Single-Valued  Neutrosophic  Sets  (SVNS)  to
                        solve  the  Shortest  Path  Problem  (SPP)  under  uncertainty.  The  proposed  method  was  applied  to  a  real-world
                        transportation  case  study  in  Kuala  Lumpur  where  factors  such  as  road  construction  and  congestion  introduce
                        variability. By using neutrosophic values and comparing several score functions, the study demonstrates that the
                        proposed  approach  yields  more  reliable  and  adaptive  routes  compared  to  conventional  methods.  This  model  is
                        especially suitable for logistics, emergency response, and smart transportation planning.
                                                  2 - PROBLEM STATEMENT
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                                                  2        -        P       R      O         B      L     E     M              S      T     A        T     E      M          E      N       T                                                                                                                                                                                          3 - OBJECTIVES
                                                            Classical  Dijkstra’s  algorithm  assumes  fixed  and  accurate  data,                                                                                                                                                                   To  modify  Dijkstra’s  algorithm  for  solving  the  SPP  in  a
                                                            which doesn’t reflect real-world transportation conditions.                                                                                                                                                                              neutrosophic environment.

                                                            Uncertainties  like  traffic,  weather,  and  missing  data  reduce  its                                                                                                                                                                 To apply the proposed method to a real-world transportation



                                                            effectiveness.                                                                                                                                                                                                                           network.


                                                            Neutrosophic sets offer a better way to model uncertainty, so the                                                                                                                                                                        To  compare  the  performance  of  the  method  using  various

                                4 - METHOD
                                                            algorithm is modified using SVNS for more reliable pathfinding                                                                                                                                                                           score functions (Ye, Garg, Rani, Singh, Nafei).













                                4          -        M           E     T      H       O        D                                                                                                                                                                                                                                                                                   5 - IMPLEMENTATION
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                                                                                                                                                              PROPOSED



                                                                                                                                      METHODOLOGY SVNS-SPP




                                                                                                                                          DIJKSTRA’S ALGORITHM

































                                                                                                                                                                                                                                                                                                NETWORK WITH


                                                                                                                                                                                                                                                                                                                                                                                                                                                      ASSIGN TO THE PERMANENT
                                                                                                                                                                                                                                                                                                 NEUTROSOPHIC
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  LABEL

                                                                                                                                                                                                                                                                                                          SHORTEST


                6 - RESULT & DISCUSSION
                                                                                                                                                                                                                                                                                                          DISTANCE







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                                                                                                                                     SUGGESTED



                                                                                                                              SHORTEST PATH                                                                                                                                                                                                                              COMPUTE THE TEMPORARY




                                                                                                                              USING SVNS-SPP                                                                                                                                                                                                                                  LABEL FOR EACH NODE



                                                                                                                                      DIJKSTRA’S



                                                                                                                                     ALGORITHM












                                                                                                                                                                                                                                                                                                                                                                                                                                                    COMPARE THE WEIGHT USING


                                                                                                                                                                                                                                                                                                                                                                                                                                                                   SCORE FUNCTION














      7 - CONCLUSION & CONTRIBUTION












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      7        -        C      O        N        C      L     U       S      I     O        N          &          C      O        N       T      R       I    B       U       T      I    O        N                                                                                                                                                                                     8 - RECOMMENDATION
                The  modified  Dijkstra’s  algorithm  using  SVNS  improves  decision-making  in                                                                                                                                                                                                                       Integrate real-time traffic data to enhance accuracy in dynamic
                uncertain transportation conditions.                                                                                                                                                                                                                                                                   environments.
                It  provides  more  accurate  and  flexible  route  selection  compared  to  the  classical                                                                                                                                                                                                            Test  the  algorithm  on  larger  and  more  complex  transportation



                method.                                                                                                                                                                                                                                                                                                networks.



                The  approach  is  practical  for  real-world  applications  like  logistics,  emergency                                                                                                                                                                                                               Explore  advanced  models  like  rough  or  interval-valued



                response, and smart traffic systems.                                                                                                                                                                                                                                                                   neutrosophic sets for better uncertainty handling.
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