Indistinguishability Operators

Indistinguishability Operators
By:Jordi Recasens
Published on 2010-10-02 by Springer

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.

This Book was ranked at 40 by Google Books for keyword fuzzy thinking the new science of fuzzy logic.

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Book which was published by Springer since 2010-10-02 have ISBNs, ISBN 13 Code is 9783642162220 and ISBN 10 Code is 3642162223

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