Multicriteria Decision-making Method using Cosine Similarity Measures for Reduct Fuzzy Sets of Interval-valued Fuzzy Sets

This paper introduces optimistic, neutral and pessimistic reduct fuzzy sets of an interval-valued fuzzy set, optimistic, neutral and pessimistic cosine similarity measures for the reduct fuzzy sets. A new decision-making method is proposed by means of three weighted cosine similarity measures depending on optimistic, neutral, and pessimistic points to reduce cognitive dissonance in multiple criteria decision analysis. We give the measures of optimism, neutralism, and pessimism to further determine suitability for alternative rankings through choosing optimistic, neutral, and pessimistic weighted cosine similarity measures. Finally, an illustrative example is conducted to validate the feasibility and applicability of the proposed method.