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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| Daljnji autori: | , , |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Izdanje: | 1st ed. 2005. |
| Serija: | Studies in Fuzziness and Soft Computing
182 |
| Online pristup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Bilješka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Fuzzy Group Theory, Texte imprimé, 9783540250722 • Fuzzy Group Theory, Texte imprimé, 9783642064128 • Fuzzy Group Theory, Texte imprimé, 9783540808275 • Fuzzy Group Theory, Texte imprimé, 9783540250722 |
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| 008 | 080409q2000 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN123092604 | ||
| 020 | |a 9783540323952 | ||
| 041 | 0 | |a eng | |
| 082 | |a 620 | ||
| 245 | 0 | 0 | |a Fuzzy group theory |c edited by Kiran R. Bhutani, John N. Mordeson, A. Rosenfeld. |
| 250 | |a 1st ed. 2005. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Studies in Fuzziness and Soft Computing |v 182 |x 1860-0808 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 700 | 1 | |a Bhutani, Kiran R. |4 pbd | |
| 700 | 1 | |a Mordeson, John N. |4 pbd | |
| 700 | 1 | |a Rosenfeld, Azriel, |d 1931-2004. |4 pbd | |
| 776 | 0 | |t Fuzzy Group Theory |b Texte imprimé |z 9783540250722 | |
| 776 | 0 | |t Fuzzy Group Theory |b Texte imprimé |z 9783642064128 | |
| 776 | 0 | |t Fuzzy Group Theory |b Texte imprimé |z 9783540808275 | |
| 776 | 0 | |t Fuzzy Group Theory |b Texte imprimé |z 9783540250722 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/b12359 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-MRF7W9J8-T |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:748042741 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/b12359 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:751493864 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/b12359 |z Accès INSA CVL | |
| 997 | |0 948346 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||