A New Kind of Fuzzy n-ary Hypergroups in the Framework of Soft Set Theory

Maji et al. introduced the concept of fuzzy soft sets as a generalization of the standard soft sets and presented an application of fuzzy soft sets in a decision making problem. The aim of this paper is to apply the concept of fuzzy soft sets to n-ary hypergroup theory. The concepts of (∈(γ), ∈(γ)∨q...

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Detalles Bibliográficos
Autores principales: Li, Hongjie, Yin, Yunqiang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4122148/
https://www.ncbi.nlm.nih.gov/pubmed/25126608
http://dx.doi.org/10.1155/2014/957391
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author Li, Hongjie
Yin, Yunqiang
author_facet Li, Hongjie
Yin, Yunqiang
author_sort Li, Hongjie
collection PubMed
description Maji et al. introduced the concept of fuzzy soft sets as a generalization of the standard soft sets and presented an application of fuzzy soft sets in a decision making problem. The aim of this paper is to apply the concept of fuzzy soft sets to n-ary hypergroup theory. The concepts of (∈(γ), ∈(γ)∨q (δ))-fuzzy soft (invertible) n-ary subhypergroups over a commutative n-ary hypergroup are introduced and some related properties and characterizations are obtained. The homomorphism properties of (∈(γ), ∈(γ)∨q (δ))-fuzzy soft (invertible) n-ary subhypergroups are also derived.
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spelling pubmed-41221482014-08-14 A New Kind of Fuzzy n-ary Hypergroups in the Framework of Soft Set Theory Li, Hongjie Yin, Yunqiang ScientificWorldJournal Research Article Maji et al. introduced the concept of fuzzy soft sets as a generalization of the standard soft sets and presented an application of fuzzy soft sets in a decision making problem. The aim of this paper is to apply the concept of fuzzy soft sets to n-ary hypergroup theory. The concepts of (∈(γ), ∈(γ)∨q (δ))-fuzzy soft (invertible) n-ary subhypergroups over a commutative n-ary hypergroup are introduced and some related properties and characterizations are obtained. The homomorphism properties of (∈(γ), ∈(γ)∨q (δ))-fuzzy soft (invertible) n-ary subhypergroups are also derived. Hindawi Publishing Corporation 2014 2014-07-14 /pmc/articles/PMC4122148/ /pubmed/25126608 http://dx.doi.org/10.1155/2014/957391 Text en Copyright © 2014 H. Li and Y. Yin. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Li, Hongjie
Yin, Yunqiang
A New Kind of Fuzzy n-ary Hypergroups in the Framework of Soft Set Theory
title A New Kind of Fuzzy n-ary Hypergroups in the Framework of Soft Set Theory
title_full A New Kind of Fuzzy n-ary Hypergroups in the Framework of Soft Set Theory
title_fullStr A New Kind of Fuzzy n-ary Hypergroups in the Framework of Soft Set Theory
title_full_unstemmed A New Kind of Fuzzy n-ary Hypergroups in the Framework of Soft Set Theory
title_short A New Kind of Fuzzy n-ary Hypergroups in the Framework of Soft Set Theory
title_sort new kind of fuzzy n-ary hypergroups in the framework of soft set theory
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4122148/
https://www.ncbi.nlm.nih.gov/pubmed/25126608
http://dx.doi.org/10.1155/2014/957391
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