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On the cardinality of fuzzy sets

2003

Abstract

It seems that a suitably constructed fuzzy sets of natural numbers form the most complete and adequate description of cardinality of finite fuzzy sets.(see ) Nevertheless, in many applications one needs a simple scalar evaluation of that cardinality by nonnegative real number, e.g scalar cardinality. There are many approaches to this evaluation-sigma count of fuzzy set,psigma count of fuzzy sets, cardinality of its core or support, cardinality of its αcut set,etc.(see [2]), [3], [4], [5], [7], [9], [10] for more details). Wygralak in [8]