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AN APPROACH TO DISTANCE MEASURE IN SINGLE-VALUED                                                                                                                                                                         K242/11
                                                                                                                                                                                                                                                                                                 K242/11



                                                              NEUTROSOPHIC SETS (SVNS) FOR SUPPLIER SELECTION PROBLEM






                                                WAN NUR ADRIANA BINTI WAN AZELAND SHAH    SUPERVISOR: MADAM FIRDAWATI BINTI MOHAMED
                                                  WAN NUR ADRIANA BINTI WAN AZELAND SHAH    SUPERVISOR: MADAM FIRDAWATI BINTI MOHAMED

                                                                                                                                                          A    B   S  T   R   A   C    T
                                                                                                                                                          ABSTRACT

       One of the most significant strategies in getting a successful business is having a good supplier. However, it comes to a problem in choosing supplier when

             there are uncertainty and doubt in making decision. The purpose of this study is to apply distance measure and measure its efficiencies in solving the


         supplier selection problem. Therefore, this study provides a methodology in choosing the best supplier based on distance measure method under Single-


         Valued Neutrosophic Set (SVNS) which are Hamming distance measure, normalized Hamming distance measure, extended Hausdorff distance and with

              the addition of similarity measure. A framework of three phases is develop including formulating the distance measure, applying to the problem and


         finally the discussion and a ranking process through comparison. As the result, a lower value of distance is better and a higher value is better for similarity

                                measure. The proposed method offers a simple and easy use decision-making tool under uncertain conditions in supplier selection.





                                                   P   R   O   B   L  E  M       S  T   A   T   E  M     E  N    T                                                         (a) To formulate the                                        O   B   J  E  C    T   I V   E                   c) To compare and
                                                                                                                                                                                                                                       OBJECTIVE
                                                   PROBLEM STATEMENT
          A good supplier selection is extremely important, especially for those in                                                                                        properties of Hamming                               (b) To apply Hamming                                     discuss the result


                the business field where wide competitiveness and determined to                                                                                            distance measure,                                   distance measure,                                        obtained from applying

          choose best supplier for their requirements. To address this challenges,                                                                                         normalized Hamming                                  normalized Hamming                                       distance measures to


          there is a need to do comparing and ranking process of supplier so that                                                                                          distance measure and                                distance measure and                                     supplier selection


             the manufacturers can determine the best supplier. Therefore, three                                                                                           extended Hausdorff                                  extended Hausdorff                                       problem


           distance measures, which are Hamming distance measure, normalized                                                                                               distance.                                           distance to supplier

              Hamming distance measure and extended Hausdorff distance have                                                                                                                                                    selection problem.


             been considered. All of these methods are very helpful in solving the

                                                                                                                                                                                                 METHODOLOGY & MPLEMENTATION
              ambiguous and uncertain decision-making problem. Therefore, this                                                                                                                   M     E  T   H    O   D    O   L   O   G    Y     &   M     P   L  E  M     E   N    T   A    T   I O   N

                study aims to apply distance measures SVNS to supplier selection


          problem by simply looking at their performance across multiple criteria

                 including cost, delivery, flexibility, quality, service and innovation


             performance. By providing this study, the results will shown the best


                        supplier chosen for future and improve to the higher level






         Properties of Distance Measure


























         i) Hamming Distance Measure












          ii) Normalized Hamming Distance Measure













           iii) Extended Hausdorff Distance

                                                                                                                                                                                                                                                -The discussion, comparison and ranking


                                                                                                                                                                                                                                               of average value for each alternatives will


                                                                                                                                                                                                                                                                              be discussed.

      Similarity Measure for dH                                                                                                                                                                                                                -Distance measure prefer the lower value


                                                                                                                                                                                                                                               & similarity measure prefer a higher value


                                                                                                                                                                                                                                                                   as the best alternative.






                                                                                                                                   RESULT & DISCUSSION
                                                                                                                                                                    I
                                                                                                                                                                     S
                                                                                                                                                                         C
                                                                                                                                                           &

                                                                                                                                                                D
                                                                                                                                                                                         I
                                                                                                                                                                                           O
                                                                                                                                                                                               N
                                                                                                                                                                              U
                                                                                                                                                                                  S
                                                                                                                                                                                      S
                                                                                                                                           S
                                                                                                                                              U
                                                                                                                                   R
                                                                                                                                       E
                                                                                                                                                   L

                                                                                                                                                      T
     D   I S T  A  N   C  E    M  E  A   S U   R  E
     DISTANCE MEASURE










     S  I M   I L A  R  I T  Y    M  E  A  S  U   R  E
     SIMILARITY MEASURE




















                                                                                                                                                                                                                                         RECOMMENDATION
                                                         C    O    N    C    L  U   S  I O    N                                                                                                                                          R   E  C    O    M     M    E   N   D    A   T   I O   N
                                                         CONCLUSION

        The formulating                                  Alternative 4 was                               By comparing the


              of distance                                the best supplier                              average value that



            measures is a                                    chosen for all                              had been chosen,
                                                                                                            the normalized
       success since the                                 distance measure                              Hamming distance


                   proof is                              formulas and the                                 measure was the


              completely                               least supplier goes                                             best



                   shown.                                 to Alternative 2
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