Fuzzy Group Theory
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 propert...
| Main Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2005, 2005
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| Edition: | 1st ed. 2005 |
| Series: | Studies in Fuzziness and Soft Computing
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
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