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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Mordeson, John N. (Autor), Bhutani, Kiran R. (Autor), Rosenfeld, A. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
Edición:1st ed. 2005.
Colección:Studies in Fuzziness and Soft Computing, 182
Temas:
Computer science.
Dynamics.
Nonlinear theories.
Artificial intelligence.
Group theory.
Theory of Computation.
Applied Dynamical Systems.
Artificial Intelligence.
Group Theory and Generalizations.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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