John N Mordeson

(Author)

Fuzzy Group Theory (2005)Hardcover - 2005, 22 June 2005

Fuzzy Group Theory (2005)
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Part of Series
Studies in Fuzziness and Soft Computing
Print Length
300 pages
Language
English
Publisher
Springer
Date Published
22 Jun 2005
ISBN-10
3540250727
ISBN-13
9783540250722

Description

This book presents an up-to-date account of research in important topics of fuzzy group theory. It concentrates on the theoretical aspects of fuzzy subgroups of a group. It includes applications to abstract recognition problems and to coding theory. The book begins with basic properties of fuzzy subgroups. Fuzzy subgroups of Hamiltonian, solvable, P-Hall, and nilpotent groups are discussed. Construction of free fuzzy subgroups is determined. Numerical invariants of fuzzy subgroups of Abelian groups are developed. The problem in group theory of obtaining conditions under which a group can be expressed as a direct product of its normal subgroups is considered. Methods for deriving fuzzy theorems from crisp ones are presented and the embedding of lattices of fuzzy subgroups into lattices of crisp groups is discussed as well as deriving membership functions from similarity relations. The material presented makes this book a good reference for graduate students and researchers working in fuzzy group theory.

Product Details

Authors:
John N MordesonKiran R BhutaniA Rosenfeld
Book Edition:
2005
Book Format:
Hardcover
Country of Origin:
DE
Date Published:
22 June 2005
Dimensions:
23.39 x 15.6 x 1.91 cm
ISBN-10:
3540250727
ISBN-13:
9783540250722
Language:
English
Location:
Berlin, Heidelberg
Pages:
300
Publisher:
Weight:
625.96 gm

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