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Indistinguishability operators : modelling fuzzy equalities and fuzzy equivalence relations

Author: Jordi Recasens
Publisher: Berlin ; Heidelberg : Springer, ©2010.
Series: Studies in fuzziness and soft computing, v. 260.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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.  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Recasens, Jordi.
Indistinguishability operators.
Berlin ; Heidelberg : Springer, ©2010
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jordi Recasens
ISBN: 9783642162220 3642162223 3642162215 9783642162213
OCLC Number: 682910917
Description: 1 online resource (xvii, 244 pages) : illustrations.
Contents: Introduction --
Granularity and Extensional Sets --
Isometries Between Indistinguishability Operators --
min-indistinguishability Operators and Hierarchical Trees --
Betweenness Relations --
Dimension and Basis --
Aggregation of Indistinguishability Operators --
Making Proximities Transitive --
Fuzzy Functions --
Indistinguishability Operators and Approximate Reasoning --
Vague Groups --
Finitely Valued Indistinguishability Operators.
Series Title: Studies in fuzziness and soft computing, v. 260.
Responsibility: Jordi Recasens.

Abstract:

This book examines various aspects of indistinguishability operators. It is intended to be useful to people involved in either theory and applications who are interested in systems dealing with  Read more...

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From the reviews:"This well-written monograph is the first one which is devoted to this topic, and hence highly welcome. The author offers a ... comprehensive and up to date presentation of the Read more...

 
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