Kniha Indistinguishability Operators Jordi Recasens

Indistinguishability Operators

Modelling Fuzzy Equalities and Fuzzy Equivalence Relations

Jazyk: Angličtina
Väzba: Pevná
Dostupnosť: Skladom u dodávateľa v malom množstve
Odosielame za 13-18 dní
162.98
Indistinguishability operators are essential tools in fuzzy logic since they fuzzify the concepts of...

Informácie o knihe

Jazyk
Angličtina
Väzba
Kniha - Pevná
Vydalo
2010
Stránok
244
EAN
9783642162213
ISBN
3642162215
Enbook ID
01656773
Hmotnosť
1210
Rozmery
155 x 235 x 23

Kompletný 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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