Generalized fuzzy n-ary subhypergroups of a commutative n-ary hypergroup

被引：4
|
作者：
Yin, Yunqiang [1 ]
Zhan, Jianming [2 ]
Huang, Xiaokun [3 ]
机构：
[1] E China Inst Technol, State Key Lab Breeding Base Nucl Resources & Envi, Nanchang 330013, Peoples R China
[2] Hubei Inst Nationalities, Dept Math, Enshi 445000, Hubei Province, Peoples R China
[3] Honghe Univ, Dept Math, Mengzi 661100, Yunnan, Peoples R China
来源：
MATHEMATICA SLOVACA | 2012年 / 62卷 / 02期
基金：
中国国家自然科学基金;
关键词：
n-ary hypergroups; (invertible) (epsilon; epsilon Vq)-fuzzy n-ary hypergroups; n-ary quotient hypergroups; homomorphism; UPPER APPROXIMATIONS; ROUGHNESS; SUBMODULES; SUBGROUP; IDEALS; SETS;
D O I：
10.2478/s12175-012-0004-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, by means of a new idea, the concept of (invertible) (a,aaq)-fuzzy n-ary subhypergroups of a commutative n-ary hypergroup is introduced and some related properties are investigated. A kind of n-ary quotient hypergroup by an (a, aaq)-fuzzy n-ary subhypergroup is provided and the relationships among (a, aaq)-fuzzy n-ary subhypergroups, n-ary quotient hypergroups and homomorphism are investigated. Several isomorphism theories of n-ary hypergroups are established.
引用
收藏
页码：201 / 230
页数：30
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