Fuzzy Group Theory

• Main Authors: Mordeson, John N. (Author), Bhutani, Kiran R. (Author), Rosenfeld, Azriel (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Series: Studies in Fuzziness and Soft Computing, 182
• Subjects: Computer science.; Computers.; Artificial intelligence.; Group theory.; Complexity, Computational.; Computer Science.; Theory of Computation.; Complexity.; Artificial Intelligence (incl. Robotics).; Group Theory and Generalizations.

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...

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.