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Axiomatic fuzzy set theory and its applications

Author: Xiaodong Liu; Witold Pedrycz
Publisher: Berlin ; Heidelberg : Springer, ©2009.
Series: Studies in fuzziness and soft computing, v. 244.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
In the age of Machine Intelligence and computerized decision making, we have to deal with subjective imprecision inherently associated with human perception and described in natural language and uncertainty captured in the form of randomness. This treatise develops the fundamentals and methodology of Axiomatic Fuzzy Sets (AFS), in which fuzzy sets and probability are treated in a unified and coherent fashion. It  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Axiomatic Fuzzy Set Theory and Its Applications.
Springer Verlag 2009
(OCoLC)310400834
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Xiaodong Liu; Witold Pedrycz
ISBN: 9783642004025 3642004024 3642004016 9783642004018
OCLC Number: 341597814
Description: 1 online resource.
Contents: Fundamentals --
Lattices --
Boolean matrices and binary relations --
AFS logic, AFS structure and coherence membership functions --
AFS algebras and their representations of membership degrees --
AFS fuzzy rough sets --
AFS topology and its applications --
AFS formal concept and AFS fuzzy formal concept analysis --
AFS fuzzy clustering analysis --
AFS fuzzy classifiers.
Series Title: Studies in fuzziness and soft computing, v. 244.
Responsibility: Xiaodong Liu and Witold Pedrycz.
More information:

Abstract:

This volume examines Axiomatic Fuzzy Sets (AFS), in which fuzzy sets and probability are treated in a unified and coherent fashion. It presents AFS as a rigorous mathematical theory as well as a  Read more...

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