期刊文献+

(m,n)模糊超环 被引量:3

Fuzzy(m,n)-hyperring
原文传递
导出
摘要 介绍(m,n)超环等一些相关概念,之后将(m,n)超环模糊化,给出(m,n)模糊超环的定义,初步探讨(m,n)模糊超环的结构和性质,分析(m,n)模糊超环在同态下的不变性。 In this paper we have firstly introduced some notions that are related the(m,n)-hyperring.Then we have given the definition of fuzzy(m,n)-hyperring.In the end the structures and properties of fuzzy(m,n)-hyperring and the invariance of fuzzy (m,n)-hyperring under the homomorphism are studied.
作者 李皓 辛小龙
机构地区 西北大学数学系
出处 《模糊系统与数学》 CSCD 北大核心 2012年第2期53-60,共8页 Fuzzy Systems and Mathematics
基金 陕西省教育厅科研基金资助项目(08JK472)
关键词 n元模糊超群 (m n)超环 (m n)模糊超环 同态 Fuzzy n-ary Hypergroups (m n)-hyperring Fuzzy(m n)-hyperring Homomorphism
  • 相关文献

参考文献9

  • 1Marry F. Sur une generalization de la notion de group[C]//8th Congress Math Scandidenes,Stockholm, 1934:45- 49.
  • 2Zadeh A. Fuzzy sets[J]. Inform Contronl, 1965, (8) :338- 353.
  • 3Rosenfeld A. Fuzzy groups[J]. J. Math. Anal. Appl,1971,(35) :512-517.
  • 4Davvaz B. Fuzzy Hv-groups [J]. Fuzzy Sets and Systems, 19 9 9, ( 101 ) : 191 - 19 5.
  • 5Davvaz B, Corsini P. Fuzzy n-ary hypergroups[J]. Journal of Intelligent & Fuzzy Systems,2007, (18) :377-382.
  • 6Krasner M. A class of hyperring and hyperfields [J]. International Journal of Mathematics and Mathematical Sciences, 1983, (2) : 307- 312.
  • 7Leoreanu V, Davvaz B. Fuzzy hyperrings[J]. Fuzzy Sets and Systems,2009, (160):2366-2378.
  • 8Davvaz B. Fuzzy Krasner (m, n)-hyperrings[J]. Computers and Mathematics with Applications, 2010, (59) : 3879 3891.
  • 9Davvaz B, Vougiouklis T. n-ary hypergroups[J]. Iran. J. Sci. Tech. Tech. Trans. A. , 2006, (30) :165- 174.

同被引文献13

  • 1詹建明,Bijan DAVVAZ,K.P.SHUM.超模的同构定理[J].数学学报(中文版),2007,50(4):909-914. 被引量:3
  • 2Corsini P,Leoreanu V.Applications of Hyperstructure Theory,Advances in Mathematics[M].Dordrecht:Kluwer Academic Publishers,2003.
  • 3Sen M K,Amed R,Chowdhury GFuzzy hypersemigroups[J].Sott Comput, 2008,12(9): 891-900.
  • 4Leoreauu Fotea V, Dawaz B.Fuzzy hypemngs[J].Fuzzy Sets and Systems,2009(160):2 366-2 378.
  • 5Dawaz B,Corsini P, Leoremxu Fotea V.Atanassov's intuitionistic(S,T)-fuzzy n-ary subhypergroups and their pmperties[J].Information Science., 2009,179(5):654-666.
  • 6Davvaz B.Fuzzy hypeddeals in ternary semihyperrings[J].lran Journal Fuzzy System,2009,6(4) :21-36.
  • 7Yin Y Q,Fluang X K,Xu D H,et al.The characterization ofh semisimple he mirings[J].International Journal of Fuzzy Systems,2009,11 (2): 116-122.
  • 8姚炳学.超代数结构研究进展[J].聊城大学学报(自然科学版),2008,21(1):17-19. 被引量:1
  • 9杨伟.模糊软矩阵及其格结构[J].辽宁工程技术大学学报(自然科学版),2010,29(5):721-723. 被引量:5
  • 10Irina CRISTEA,Jian Ming ZHAN.Lower and Upper Fuzzy Topological Subhypergroups[J].Acta Mathematica Sinica,English Series,2013,29(2):315-330. 被引量:1

引证文献3

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部