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Cardinalities of Fuzzy Sets
 
 
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Cardinalities of Fuzzy Sets [Hardcover]

Maciej Wygralak (Author)
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This is the first book presenting cardinality theory of fuzzy sets with triangular norms, including its scalar and "fuzzy" streams. This theory constitutes not only a powerful basis but also a useful tool for modelling and processing vague and imprecise quantitative information. The multiple application areas of the theory encompass computer science, soft computing, computing with words, and decision-making. Starting with a presentation of the fundamentals of triangular norms and fuzzy set theory, the book offers a self-contained, concise and systematic exposition of cardinalities of fuzzy sets that includes many examples.
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First Sentence
Triangular norms as some binary operations in the closed unit interval [0, l] R of real numbers were originally introduced and used by MENGER (1942) when generalizing the triangle inequality from classical metric spaces to probabilistic metric spaces in which probability distributions rather than numbers serve to describe distances between elements. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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