FGCounts of Fuzzy Sets with Triangular Norms
The “fuzzy” approach to the question of cardinality of a fuzzy set offers a very adequate and complete cardinal information in the form of a convex fuzzy set of ordinary cardinal numbers (of nonnegative integers, in the finite case). The existing studies of that approach, however, are restricted to cardinalities of fuzzy sets with the classical min and max operations. In this paper, we like to present a generalization of FGCounts to triangular norm-based fuzzy sets. Some remarks about an analogous generalization of FLCounts and FECounts will be given, too.
KeywordsNonnegative Integer Kluwer Acad Valuation Property Extension Principle Triangular Norm
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