Generalized relative cardinalities of fuzzy sets

Authors:
Daniel Pilarski
Affiliations:
Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska, Poznan, Poland
Venue:
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Year:
2005

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Abstract

The subject of this paper is a generalized approach to relative scalar cardinalities of fuzzy sets. In the main part of the paper, we discuss basic properties of triangular norm-based relative cardinality such as valuation property, the cartesian product rule and complementary rule. Examples of cardinalities satisfying those properties are also given.