NEW SIMILARITY MEASURES OF TRAPEZOIDAL INTUITIONISTIC FUZZY NUMBERS AND THEIR APPLICATION TO MULTIPLE CRITERIA DECISION MAKING
MEHMET ŞAHIN
Department of Mathematics, Gaziantep University, Gaziantep 27310, Turkey
HATICE ACIOĞLU
Department of Mathematics, Gaziantep University, Gaziantep 27310, Turkey
VAKKAS ULUÇAY *
Department of Mathematics, Gaziantep University, Gaziantep 27310, Turkey
*Author to whom correspondence should be addressed.
Abstract
The trapezoidal intuitionistic fuzzy numbers (TIFNs) is very useful for expressing ill-known quantity. Although many measures of similarity between intuitionistic fuzzy sets have been proposed in the literature, those measures cannot deal with the similarity measures between TIFNs. In this paper, we introduced some similarity measures for TIFNs such as; Jaccard similarity measure, Dice similarity measure, and Cosine similarity measures and three similarity measures between TIFNs are applied to the MCDM for TIFNs. Then, an example is shown to verify the feasibility of the new method. Finally, the decision results of different similarity measures demonstrate the practicality and effectiveness of the developed method in this paper.
Keywords: Intuitionistic fuzzy set, intuitionistic fuzzy number, decision making