Kniha Indistinguishability Operators Jordi Recasens

Indistinguishability Operators

Modelling Fuzzy Equalities and Fuzzy Equivalence Relations

Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele v malém množství
Odesíláme za 13-18 dnů
3 938
Indistinguishability operators are essential tools in fuzzy logic since they fuzzify the concepts of...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2010
Stránek
244
EAN
9783642162213
ISBN
3642162215
Enbook ID
01656773
Hmotnost
1210
Rozměry
155 x 235 x 23

Kompletní popis

Indistinguishability operators are essential tools in fuzzy logic since they fuzzify the concepts of equivalence relation and crisp equality. This book collects all the main aspects of these operators in a single volume for the first time. The stress is put on the study of their structure and the monograph starts presenting the different ways in which indistinguishability operators can be generated and represented. Special attention is paid to the Representation Theorem and the Sup-T product. Extensionality of fuzzy subsets is studied in detail and is related to their observability and to the granularity. The metric behaviour of indistinguishability operators and their connection with cluster analysis and hierarchical trees is established. Different ways to aggregate such operators are given as well as a number of methods to obtain transitive approximations of a fuzzy relation. Applications to approximate reasoning and to the study of fuzzy subgroups are also provided. The book ends with a chapter on finite-valued indistinguishability operators.

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