Buch, Englisch, Band 182, 300 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1390 g
Buch, Englisch, Band 182, 300 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1390 g
Reihe: Studies in Fuzziness and Soft Computing
ISBN: 978-3-540-25072-2
Verlag: Springer
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
- Technische Wissenschaften Technik Allgemein Computeranwendungen in der Technik
- Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
- Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computer-Aided Design (CAD)
- Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz Wissensbasierte Systeme, Expertensysteme
- Mathematik | Informatik EDV | Informatik Angewandte Informatik Computeranwendungen in Wissenschaft & Technologie
Weitere Infos & Material
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.
