Ranking fuzzy numbers using fuzzy maximizing-minimizing points

Up to now, several approaches have been proposed for ranking of fuzzy numbers using maximizing set and minimizing sets. Often, the reference points are created by real numbers. In this paper, we proposed new reference points so called fuzzy maximizing-minimizing points. To this purpose, we used the center of gravity of fuzzy numbers and their left/right spreads to construct such fuzzy points. Moreover, we suggested a new aggregation function with pessimistic/optimistic structure for a set of fuzzy numbers. Also, some examples are given to show the ability of proposed ranking approach and the related aggregation function.

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