Fuzzy Group Theory (Studies in Fuzziness and Soft Computing, 182).. This item is unavailable.
Language: English
Published by Springer., 2005
- Hardcover
- Used
Seller: Universitätsbuchhandlung Herta Hold GmbH, Berlin, GermanyUniversitätsbuchhandlung Herta Hold GmbH
AbeBooks seller since April 9, 2003
Condition: Used
US$ 35.93
Item description from seller
2005th ed. 16 x 23 cm. 314 pages. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Sprache: Englisch.
Seller Inventory # 6493VB
- Title
- Fuzzy Group Theory (Studies in Fuzziness and Soft Computing, 182).
- Author
- Mordeson, John N./Bhutani, Kiran R./Rosenfeld, A.
- Publisher
- Springer.
- Publication year
- 2005
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 3540250727
- ISBN 13
- 9783540250722
- Item weight
- 1 gram
- Seller catalogs
- Varia
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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
This book presents an up-to-date account of research in important topics of fuzzy group theory. The book concentrates on the theoretical aspects of fuzzy subgroups of a group. It also includes applications to some abstract recognition problems and to coding theory. The book begins with basic properties of fuzzy subgroups. The notions of ascending series and descending series of fuzzy subgroups are used to define nilpotency of a fuzzy subgroup. 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. The number of fuzzy subgroups (up to an equivalence relation) of certain finite Abelian groups is determined. 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. Deriving membership functions from similarity relations is considered.
The material presented in this book makes it a good reference for graduate students and researchers working in fuzzy group theory.
"About the title" may belong to another edition of this title.