Fuzzy cardinals based on the generalized equality of fuzzy subsets
Fuzzy Sets and Systems
Generalized cardinal numbers and operations on them
Fuzzy Sets and Systems
A first course in fuzzy logic
Fuzzy set theory: basic concepts, techniques and bibliography
Fuzzy set theory: basic concepts, techniques and bibliography
An overview of fuzzy quantifiers. (I). Interpretations
Fuzzy Sets and Systems
Questions of cardinality of finite fuzzy sets
Fuzzy Sets and Systems
An axiomatic approach to scalar cardinalities of fuzzy sets
Fuzzy Sets and Systems
On Cardinality and Singular Fuzzy Sets
Proceedings of the International Conference, 7th Fuzzy Days on Computational Intelligence, Theory and Applications
On triangular norm-based generalized cardinals and singular fuzzy sets
Fuzzy Sets and Systems - Theme: Basic notions
Extension of discrete t-norms and t-conorms to discrete fuzzy numbers
Fuzzy Sets and Systems
Aggregation of subjective evaluations based on discrete fuzzy numbers
Fuzzy Sets and Systems
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The most advanced and adequate approach to the question of cardinality of a fuzzy set seems to be that offering a fuzzy perception of cardinality. The resulting convex fuzzy sets of usual cardinals (of nonnegative integers, in the finite case) are then called generalized cardinal numbers. Three types of them are of special interest and importance, namely FGCounts, FLCounts, and FECounts. In this paper, first, we show that their original forms are suitable only for fuzzy sets with the classical min and max operations. Second, we propose an appropriate generalization to fuzzy sets with triangular norms and conorms. Further, we investigate the resulting generalized FGCounts, FLCounts, and FECounts from the viewpoint of the corresponding equipotency relations, inequalities, and arithmetical operations.