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
相关论文
共 50 条
  • [31] Fuzzy n-ary hypergroups related to fuzzy points
    Kazanci, O.
    Davvaz, B.
    Yamak, S.
    [J]. NEURAL COMPUTING & APPLICATIONS, 2010, 19 (05): : 649 - 655
  • [32] On ideals of fuzzy points n-ary semigroups
    Solano, John Patrick Fulgencio
    Suebsung, Sudaporn
    Chinram, Ronnason
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2018, 13 (02): : 179 - 186
  • [33] A new characterization of fuzzy n-ary polygroups
    O. Kazancı
    B. Davvaz
    S. Yamak
    [J]. Neural Computing and Applications, 2012, 21 : 59 - 68
  • [34] Notes on n-Ary Theories
    Zambarnaya, T. S.
    Baizhanov, B. S.
    [J]. MATHEMATICAL NOTES, 2024, 115 (3-4) : 647 - 649
  • [35] On reducibility of n-ary quasigroups
    Krotov, Denis S.
    [J]. DISCRETE MATHEMATICS, 2008, 308 (22) : 5289 - 5297
  • [36] N-ary trees classifier
    Duque, Duarte
    Santos, Henrique
    Cortez, Paulo
    [J]. ICINCO 2006: PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON INFORMATICS IN CONTROL, AUTOMATION AND ROBOTICS: ROBOTICS AND AUTOMATION, 2006, : 457 - 460
  • [37] On identities of an n-ary group
    Gal'mak, A. M.
    [J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2016, 9 (02)
  • [38] Direct and semidirect product of n-ary polygroups via n-ary factor polygroups
    Shehu, Lumnije
    Davvaz, Bijan
    [J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2019, 18 (05)
  • [39] Fuzzy n-ary polygroups related to fuzzy points
    Kazanci, O.
    Davvaz, B.
    Yamak, S.
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (07) : 1466 - 1474
  • [40] Hypergroups and n-ary relations
    Cristea, Irina
    Stefanescu, Mirela
    [J]. EUROPEAN JOURNAL OF COMBINATORICS, 2010, 31 (03) : 780 - 789
12345