Abstract
There are several approaches to the cardinality of fuzzy sets. One group of them are constructive approaches. Following these approaches we get single numbers (scalar cardinalities) or convex fuzzy sets (fuzzy cardinalities) as cardinalities of fuzzy sets. Wygralak in [8] has presented an axiomatic theory of the scalar cardinality of finite fuzzy sets which contains as particular cases all standard concepts of the scalar cardinality. In our contribution we will present possible extensions to the case of IF sets.
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