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半群上伪T模L-Fuzzy半群 被引量:2

Pseudo-T-norm L-Fuzzy Semigroups
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摘要 在已有T模L Fuzzy半群概念的基础上,把T模减弱为伪T模,给出半群上伪T模L Fuzzy半群(左理想、右理想、双边理想、双理想)的定义,讨论了伪T模L Fuzzy半群(左理想、右理想、双边理想、双理想)的性质,给出了它们的等价刻画. In this paper the concept of Tnorm Lfuzzy semigroup is generalized to pseudoone. Furthermore, the lift, right and twosided ideas as well as the biidear on those semigroups are defined, some properties and equivalent characterizations of them are discussed.
作者 王平
出处 《四川师范大学学报(自然科学版)》 CAS CSCD 2003年第5期482-485,共4页 Journal of Sichuan Normal University(Natural Science)
关键词 半群 伪T模L-Fuzzy半群 伪T模L-Fuzzy左理想 伪T模L-Fuzzy右理想 Semigroups Pseudo-T-norm L-Fuzzy semigroups Pseudo-T-norm L-Fuzzy left ideals Pseudo-T-norm L-Fuzzy right ideals
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参考文献8

  • 1Zadeh L A. Fuzzy sets[J]. Inform Cont,1965,8:338 - 353.
  • 2Rosenfeld A. Fuzzy groups[J]. J Math Anal Appl, 1971,35:512 -517.
  • 3Kuroki N. Two-sided purity on regular semigrous[J]. Comment Math Univ St Paul,1979,28:17 - 21.
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同被引文献13

  • 1王学平,莫智文,刘旺金.半群Fuzzy点生成的Fuzzy理想(英文)[J].四川师范大学学报(自然科学版),1992,15(4):17-24. 被引量:1
  • 2朱楠德.生成Fuzzy子群[J].模糊系统与数学,1989,3(2):24-31. 被引量:11
  • 3Zadeh L A. Fuzzy sets [ J ]. Inform and Contral, 1965,8:338-353.
  • 4Kuroki N. Two-sided purity on regular semigroups[ J]. Comment Math Univ St Paul ,1979 ,28 :17-21.
  • 5Birkhoff G. Lattice Theory[M]. 3th. Providence R I:Am Math Soc,1979.
  • 6Goguen J A. L-fuzzy sets [ J ].J Math Anal Appl, 1976,18:145-174.
  • 7Clifford A H, Preston G B. The Algebraic of Semigroups[ M]. Providence:Am Math Soc,1961.
  • 8Rosenfeld A. Fuzzy groups[J]. J Math Anal Appl,1971,35 :512-517.
  • 9沈继忠.Fuzzy正则半群.江西师范大学学报:自然科学版,1988,12:18-24.
  • 10肖光灿.Fuzzy半群的一个新定义[J].四川师范大学学报(自然科学版),2000,23(3):247-249. 被引量:4

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