The Resource Fuzzy Group Theory, by John Mordeson, Kiran Bhutani, Azriel Rosenfeld, (electronic resource)

Fuzzy Group Theory, by John Mordeson, Kiran Bhutani, Azriel Rosenfeld, (electronic resource)

Label
Fuzzy Group Theory
Title
Fuzzy Group Theory
Statement of responsibility
by John Mordeson, Kiran Bhutani, Azriel Rosenfeld
Creator
Contributor
Author
Provider
Subject
Language
eng
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 book begins with basic properties of fuzzy subgroups. The notions of ascending series and descending series of fuzzy subgroups are used to define nilpotency of a fuzzy subgroup. 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. The number of fuzzy subgroups (up to an equivalence relation) of certain finite Abelian groups is determined. 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. Deriving membership functions from similarity relations is considered. The material presented in this book makes it a good reference for graduate students and researchers working in fuzzy group theory
Member of
http://library.link/vocab/creatorName
Mordeson, John
Image bit depth
0
LC call number
QA76.9.M35
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Bhutani, Kiran.
  • Rosenfeld, Azriel.
  • SpringerLink
Series statement
Studies in Fuzziness and Soft Computing,
Series volume
182
http://library.link/vocab/subjectName
  • Engineering
  • Artificial intelligence
  • Group theory
  • Engineering
  • Systems and Information Theory in Engineering
  • Artificial Intelligence (incl. Robotics)
  • Group Theory and Generalizations
Label
Fuzzy Group Theory, by John Mordeson, Kiran Bhutani, Azriel Rosenfeld, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Dimensions
unknown
Extent
XIII, 300 p. Also available online.
File format
multiple file formats
Form of item
electronic
Isbn
9783540323952
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/b12359
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-32395-2
Label
Fuzzy Group Theory, by John Mordeson, Kiran Bhutani, Azriel Rosenfeld, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Dimensions
unknown
Extent
XIII, 300 p. Also available online.
File format
multiple file formats
Form of item
electronic
Isbn
9783540323952
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/b12359
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-32395-2

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