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Titlebook: Vaguely Defined Objects; Representations, Fuz Maciej Wygralak Book 1996 Springer Science+Business Media Dordrecht 1996 Arithmetic.Cardinal

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Mathematical Approaches to Vaguely Defined Objects sets. The following concepts will be recalled: fuzzy sets, fuzzy sets of type 2 and ultrafuzzy sets, semisets, intuitionistic fuzzy sets, fuzzy sets with triangular norms and implication operators induced by them, and lattice-valued fuzzy sets. However, special attention will be paid to the primary
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Equipotenciesely, Chapters 5–14 contain a nonclassical cardinality theory which is based on the representation from Sections A–C of Chapter 4, and can be applied to VD-objects characterized by means of arbitrary functions ., precisely determined or not. Therefore, principally, it does not involve subdefinite set
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Other Basic Operationstion B). As was mentioned in Section 10-A, subtraction will be defined in the usual classical-like way via addition. By reasons which will be stated at the beginning of Section B, exponentiation will be restricted to exponents from FGCN*.; the case of arbitrary exponents from GCN*. is considered in
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Generalized Arithmetical Operationstigated. By mathematical induction, those operations and their properties can be extended to an arbitrary finite number of components and factors, respectively. In this chapter, using the modified extension principle (10.5)–(10.6), we like to discuss generalized sums and products of gc-numbers, wher
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Book 1996systems analysis, decision-making and control, expert systems, data modelling, engineering, etc. , resulted in a considerable increase of interest in adequate mathematical description and analysis of objects, phenomena, and processes which are vague or imprecise by their very nature. Classical two-v
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sciences, systems analysis, decision-making and control, expert systems, data modelling, engineering, etc. , resulted in a considerable increase of interest in adequate mathematical description and analysis of objects, phenomena, and processes which are vague or imprecise by their very nature. Class
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