Titlebook: Cardinalities of Fuzzy Sets; Maciej Wygralak Book 2003 Springer-Verlag Berlin Heidelberg 2003 Cardinality of Fuzzy Sets.Computer.Fuzzy.Fuz

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1434-9922 stematic presentation equipped with many examplesCounting is one of the basic elementary mathematical activities. It comes with two complementary aspects: to determine the number of elements of a set - and to create an ordering between the objects of counting just by counting them over. For finite s

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Fuzzy Sets,er, their membership in that collection is graduated. This feature implies that the logical basis of fuzzy sets must be many-valued logic, i.e. logic allowing intermediate logical values lying between 0 (false) and 1 (true). The concept of a fuzzy set and fundamentals of many-valued sentential calcu

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Scalar Cardinalities of Fuzzy Sets,es is the starting point of our study. We like to investigate their properties, including the valuation property, the cartesian product rule and the complementarity rule. The question of the simultaneous fulfilment of these properties will also be discussed.

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Generalized Cardinals with Triangular Norms,uzzy sets with triangular operations. We shall use the notation and terminology established in that section as well as in Chapter 1. Among other questions, the following key issues will be discussed: equipotency of fuzzy sets, ordering relations for their generalized cardinal numbers, and arithmetic

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