6
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      A New Ranking Principle For Ordering Trapezoidal Intuitionistic Fuzzy Numbers

      , ,

      Complexity

      Hindawi Limited

      Read this article at

      ScienceOpenPublisher
      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          Modelling real life (industrial) problems using intuitionistic fuzzy numbers is inevitable in the present scenario due to their efficiency in solving problems and their accuracy in the results. Particularly, trapezoidal intuitionistic fuzzy numbers (TrIFNs) are widely used in describing impreciseness and incompleteness of a data. Any intuitionistic fuzzy decision-making problem requires the ranking procedure for intuitionistic fuzzy numbers. Ranking trapezoidal intuitionistic fuzzy numbers play an important role in problems involving incomplete and uncertain information. The available intuitionistic fuzzy decision-making methods cannot perform well in all types of problems, due to the partial ordering on the set of intuitionistic fuzzy numbers. In this paper, a new total ordering on the class of TrIFNs using eight different score functions, namely, imprecise score, nonvague score, incomplete score, accuracy score, spread score, nonaccuracy score, left area score, and right area score, is achieved and our proposed method is validated using illustrative examples. Significance of our proposed method with familiar existing methods is discussed.

          Related collections

          Most cited references 16

          • Record: found
          • Abstract: not found
          • Article: not found

          A procedure for multiple-aspect decision making using fuzzy sets

           RAMESH JAIN (1977)
            Bookmark
            • Record: found
            • Abstract: not found
            • Article: not found

            A ratio ranking method of triangular intuitionistic fuzzy numbers and its application to MADM problems

             Deng-Feng Li (2010)
              Bookmark
              • Record: found
              • Abstract: not found
              • Article: not found

              An extended TODIM method for multiple attribute group decision-making based on 2-dimension uncertain linguistic Variable

               Peide Liu,  Fei Teng (2016)
                Bookmark

                Author and article information

                Journal
                Complexity
                Complexity
                Hindawi Limited
                1076-2787
                1099-0526
                2017
                2017
                : 2017
                :
                : 1-24
                Article
                10.1155/2017/3049041
                © 2017

                Comments

                Comment on this article