John N. Mordeson
Fuzzy Group Theory - Studies in Fuzziness and Soft Computing John N. Mordeson Softcover Reprint of Hardcover 1st Ed. 2005 edition

Name: Fuzzy Group Theory - Studies in Fuzziness and Soft Computing
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Author: John N. Mordeson

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Hardcover Book

2005 edition

(2005) ¥ 29.074

Fuzzy Group Theory - Studies in Fuzziness and Soft Computing

John N. Mordeson

Softcover Reprint of Hardcover 1st Ed. 2005 edition

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.

314 pages, biography

メディア	書籍 Paperback Book (ソフトカバーで背表紙を接着した本)
リリース済み	2010年10月21日
ISBN13	9783642064128
出版社	Springer-Verlag Berlin and Heidelberg Gm
ページ数	314
寸法	156 × 234 × 16 mm · 444 g
言語	英語