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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)
Resource Information
The item Fuzzy Group Theory, by John Mordeson, Kiran Bhutani, Azriel Rosenfeld, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Fuzzy Group Theory, by John Mordeson, Kiran Bhutani, Azriel Rosenfeld, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
- 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
- Language
- eng
- Extent
- XIII, 300 p. Also available online.
- 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
- Isbn
- 9783540323952
- Label
- Fuzzy Group Theory
- Title
- Fuzzy Group Theory
- Statement of responsibility
- by John Mordeson, Kiran Bhutani, Azriel Rosenfeld
- 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
- 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)
- 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)
- 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
Subject
- Artificial Intelligence (incl. Robotics)
- Artificial intelligence
- Artificial intelligence
- Artificial intelligence
- Electronic resources
- Engineering
- Engineering
- Engineering
- Group Theory and Generalizations
- Group theory
- Group theory
- Group theory
- Systems and Information Theory in Engineering
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.bu.edu/portal/Fuzzy-Group-Theory-by-John-Mordeson-Kiran/s5tkGt8dx7o/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/Fuzzy-Group-Theory-by-John-Mordeson-Kiran/s5tkGt8dx7o/">Fuzzy Group Theory, by John Mordeson, Kiran Bhutani, Azriel Rosenfeld, (electronic resource)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>
