Defuzzification method for ranking fuzzy numbers based on centroids and maximizing and minimizing set

Phani Bushan Rao Peddi · Decision Science Letters · 2019

This paper proposes a new method on ranking fuzzy numbers through the process of defuzzification by using maximizing and minimizing set on the triangular fuzzy numbers formed from generalized trapezoidal fuzzy numbers.In this method, a total utility value of each fuzzy number is defined by considering two left and two right utility values along with decision maker's optimism which serves as a criterion for ranking fuzzy numbers and overcomes the limitations of Chen's (1985) [Chen, S. H. (1985).Ranking fuzzy numbers with maximizing set and minimizing set.Fuzzy sets and systems, 17(2), 113-129] ranking method..

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