A Study on Ranking of Trapezoidal Intuitionistic Fuzzy Numbers

Abstract

In this paper attention has been paid to the study of a new ranking procedure for trapezoidal intuitionistic fuzzy number (TRIFN). There are numerous methods for ranking of simple fuzzy numbers but, we lack of effective methods for ranking of intuitionistic fuzzy numbers (IFN). To serve the purpose, the value and ambiguity index of TRIFNs have been defined. In order to rank TRIFNs, we have defined a ranking function by taking sum of value and ambiguity index. To demonstrated our proposed approach one numerical example has been presented. Keywords: Intuitionistic fuzzy number(IFN), trapezoidal intuitionistic fuzzy number(TRIFN), value index, ambiguity index, ranking of TRIFN.