Classification, through coordinates, of M-bases in separable Banach spaces.
We analyze the existence of fuzzy sets of a universe that are convex with respect to certain particular classes of fusion operators that merge two fuzzy sets. In addition, we study aggregation operators that preserve various classes of generalized convexity on fuzzy sets. We focus our study on fuzzy subsets of the real line, so that given a mapping , a fuzzy subset, say , of the real line is said to be -convex if for any such that , it holds that , where stands here for the membership function...
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