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∨qδ)-fu...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/957391 |
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| author | Hongjie Li Yunqiang Yin |
| author_facet | Hongjie Li Yunqiang Yin |
| author_sort | Hongjie Li |
| collection | DOAJ |
| 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∨qδ)-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∨qδ)-fuzzy soft (invertible) n-ary subhypergroups are also derived. |
| format | Article |
| id | doaj-art-36723b561a8540158c5d43d688eed28f |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-36723b561a8540158c5d43d688eed28f2025-02-03T05:51:36ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/957391957391A New Kind of Fuzzy n-ary Hypergroups in the Framework of Soft Set TheoryHongjie Li0Yunqiang Yin1Mathematics Department of Zhoukou Normal University, Zhoukou 466001, ChinaSchool of Sciences, East China Institute of Technology, Nanchang 330013, ChinaMaji 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∨qδ)-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∨qδ)-fuzzy soft (invertible) n-ary subhypergroups are also derived.http://dx.doi.org/10.1155/2014/957391 |
| spellingShingle | Hongjie Li Yunqiang Yin A New Kind of Fuzzy n-ary Hypergroups in the Framework of Soft Set Theory The Scientific World Journal |
| 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 |
| url | http://dx.doi.org/10.1155/2014/957391 |
| work_keys_str_mv | AT hongjieli anewkindoffuzzynaryhypergroupsintheframeworkofsoftsettheory AT yunqiangyin anewkindoffuzzynaryhypergroupsintheframeworkofsoftsettheory AT hongjieli newkindoffuzzynaryhypergroupsintheframeworkofsoftsettheory AT yunqiangyin newkindoffuzzynaryhypergroupsintheframeworkofsoftsettheory |