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NEW ENTROPY MEASURE FOR SINGLE-VALUED                                                                                                                                             K242/38



                                        NEUTROSOPHIC TOPSIS IN PERCEPTION ANALYSIS



                                        ON ORGANIZATIONAL DISTRIBUTIVE JUSTICE





                                                                                                                                    Presenter: Siti Nur Diyana binti Deraman (2022449838)

                                                                                                                                    Supervisor: Dr. Roliza binti Md Yasin


     ABSTRACT


     Perception of distributive justice often involves subjective opinion with uncertainty and ambiguity. Classical evaluation

     approaches slightly unable to handle such a complex problem. This study introduces a technique of order preference
     by  similarity  to  ideal  solution  (TOPSIS)  to  help  in  decision-making  with  single-value  neutrosophic  set  (SVNS).  To

     enhance a better decision-making, this study proposes a new entropy measure to handle uncertain, indeterminacy and
     inconsistent information from the secondary data. The data is extracted from Bodur et al. (2024) used to evaluate the

     perception of organizational distributive justice. The data is collected in neutrosophic Likert scale. The process starts
     with  forming  a  new  entropy  measure,  applying  TOPSIS  with  SVN  data  and  the  result  is  ranked  for  the  most  relevant

     participant’s  perception  in  organizational  distributive  justice.  The  findings  show  that  the  method  used  to  handle
     uncertain and indeterminacy data give reliable solution.





     PROBLEM STATEMENT                                                                                                                                                          METHODOLOGY


          A few participants gave unclear responses due to the lack of clarity                                                                                     1

          in  the  survey’s  questions,  limited  awareness  about  organizational                                                                                        Propose the new entropy
                                                                                                                                                                                 measure
          justice, and mixed feelings that made it difficult to decide.                                                                                                                                                           2

          This  resulted  in  uncertainty  within  the  data,  affecting  the                                                                                                                          Convert collected data
          evaluation of students’ perceptions.                                                                                                                     3                                     into SVN number

          To  address  this,  SVNS  are  applied  to  identify  the  degree  of  truth,                                                                                  Determine the decision

          indeterminacy, and falsity in responses.                                                                                                                               matrix
          A new entropy measure is introduced to determine the importance                                                                                                                              Normalize the decision     4
          of criteria, and TOPSIS for SVNS is used to rank the alternatives.                                                                                                                                  matrix

                                                                                                                                                                   5
     OBJECTIVES                                                                                                                                                          Determine weight of the
                                                                                                                                                                           criteria using the new
                                                                                                                                                                             entropy measure
       1. To propose new entropy distance measure for SVNS.                                                                                                                                            Compute the weighted       6
       2. To  apply  the  new  entropy  measure  in  the  TOPSIS  procedure  for                                                                                                                     normalized decision matrix

           perception analysis of organizational distributive justice problem.                                                                                     7     Determine the ideal and
       3. To  compare  the  new  entropy  measure  with  Thao&Smarandache                                                                                                   non-ideal solution

           and Ye&Du entropy measure.                                                                                                                                                                                             8
                                                                                                                                                                                                       Calculate the distance
                                                                                                                                                                                                             measure
     RESULT &                                                                                                                                                     9       Determine the closeness


                                                                                                                                                                                coefficient
     DISCUSSION                                                                                                                                                                                             alternatives         10
                                                                                                                                                                                                             Rank the


                                                                                                                                                                  11
                                                                                                                                                                        Compare the ranking that
                                                                                             Top ten ranking summary of                                                    calculated using new
                                                                                             participants’ perception of                                                  entropy measure and
                                                                                             organizational distributive                                                existing entropy measure
                                                                                             justice.

                                                                                             The results are based on                                            IMPLEMENTATION
                The Frist Ten Participants Ranking                                           three different entropy

                                                                                             approaches for SVNS.

                                                                                             The consistency of the
                                                                                             ranking indicates that these
                                                                                             participants have a strong
                                                                                             and stable perspective on
                                                                                             organizational distributive
            The Participants Ranking from 71 to 76                                           justice.

                                                                                             Meanwhile, the rankings
                                                                                             have a minor difference for

                                                                                             intermediate ranking.
                                                                                              The bottom ten ranking of
              The Last Ten Participant Ranking                                               participants are consistent
                                                                                             despite the application of
                                                                                             three different entropy

                                                                                             measure.

     CONCLUSION & RECOMMENDATIONS                                                                                                                        Entropy Measure for                           Weight of Criteria


     A  new  entropy  measure  is  introduced  specifically  for  SVNS.  When  applied                                                                         Each Criterion
     with  the  TOPSIS  method,  it  helps  handle  inconsistent  information  and
     improves  decision-making  accuracy.  The  new  entropy  is  used  to  rank

     participants’  perceptions  of  organizational  distributive  justice,  from  most
     to  least  relevant.  Entropy  is  important  in  managing  incomplete  data,  as  it

     measures  uncertainty  and  identifies  relevant  criteria.  This  study  also  uses
     the  Euclidean  distance  in  the  TOPSIS  procedure  to  calculate  each
     alternative’s distance from the ideal and non-ideal solutions. From this, the
     closeness  coefficient  is  obtained,  which  is  then  used  to  rank  the

     participants.

         In further study, it is suggested to extend this new entropy measure in
    other  MCDM  techniques  such  as  COPRAS,  VIKOR  and  SAW.  It  is  also

    recommended  to  use  this  new  entropy  in  other  application  area  such  as
    medical  treatment  evaluation,  choosing  a  construction  area,  and  many                                                                                                 Example Calculation of

    more.                                                                                                                                                                         Positive and Negative
                                                                                                                                                                                         Ideal Solution
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