Fuzzy group theory /

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Bibliographic Details
Author / Creator:Mordeson, John N.
Imprint:Berlin ; New York : Springer, ©2005.
Description:1 online resource (xiii, 300 pages).
Language:English
Series:Studies in fuzziness and soft computing ; v. 182
Studies in fuzziness and soft computing ; v. 182.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11066849
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Other authors / contributors:Bhutani, Kiran Ravender.
Rosenfeld, Azriel, 1931-
ISBN:9783540323952
3540323953
3540250727
9783540250722
Notes:Includes bibliographical references and index.
Print version record.
Summary:"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 material presented in this book makes it a good reference for graduate students and researchers working in fuzzy group theory."--Jacket.
Other form:Print version: Mordeson, John N. Fuzzy group theory. Berlin ; New York : Springer, ©2005 3540250727 9783540250722
Table of Contents:
  • Fuzzy Subsets and Fuzzy Subgroups
  • Fuzzy Caley's Theorem and Fuzzy Lagrange's Theorem
  • Nilpotent, Commutator, and Solvable Fuzzy Subgroups
  • Characterization of Certain Groups and Fuzzy Subgroups
  • Free Fuzzy Subgroups and Fuzzy Subgroup Presentations
  • Fuzzy Subgroups of Abelian Groups
  • Direct Products of Fuzzy Subgroups and Fuzzy Cyclic Subgroups
  • Equivalence of Fuzzy Subgroups of Finite Abelian Groups
  • Lattices of Fuzzy Subgroups
  • Membership Functions From Similarity Relations.