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区间值直觉模糊子环 被引量:2

Interval-valued Intuitionistic Fuzzy Subring
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摘要 给出区间值直觉模糊子环的定义,讨论它们的一些性质和定理,并利用既约集合套研究了区间值直觉模糊子环. The concept of the interval-valued intuitionistic fuzzy subring were defined,some properties and theorems of it were discussed,and the interval-valued intuitionistic fuzzy subrings were discussed by irreducible nested sets.
出处 《海南师范大学学报(自然科学版)》 CAS 2010年第4期355-357,共3页 Journal of Hainan Normal University(Natural Science)
基金 国家自然科学基金资助项目(70940007) 海南省重点科技项目(090802) 海南省教育厅2009年研究生创新科研课题(Hxwsy2009-13)
关键词 直觉模糊集 区间值直觉模糊子环 既约集合套 intuitionistic fuzzy sets interval-valued intuitionistic fuzzy subrings irreducible nested sets
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参考文献12

  • 1Rosenfeld A.Fuzzy groups[J].J Math Anal Appl,1971,35:512-517.
  • 2Liu W J.Fuzzy invariant subgroups and ideals[J].Fuzzy Sets and Systems.,1982,8:133-139.
  • 3张诚一.Fuzzy子环的商环与直和[J].模糊系统与数学,1993,7(1):93-100. 被引量:27
  • 4Gorzafczany B.Approxixrnate Inference with Interval Valued Fuzzy Sets an Outline[J].Proc Polish Symp On Interval and Fuzzy Math Poznan.Poland,1983:89-95.
  • 5Atanassov K.Inmitionistic fuzzy sets[J].Fuzzy Sets and Systems,1986,20:87-96.
  • 6Banerjee B,Dhiren K.Basent R.Intuition imtic fuzzy subrings and ideals[J].The Journal of Fuzzy Mathematics.2003,11(1):139-155.
  • 7Atanassov K.Gargov G.Interval Valued Inmitionistic Fuzzy Sets[J].Fuzzy Sets and Systems.,1989,31:342-49.
  • 8詹建明.区间值直觉模糊超子群[J].Journal of Mathematical Research and Exposition,2007,27(4):755-761. 被引量:6
  • 9孟广武.区间值Fuzzy集的基本理论[J].应用数学,1993,6(2):212-217. 被引量:64
  • 10刘华文,周德学.区间值直觉Fuzzy集的截集及性质[J].山东师范大学学报(自然科学版),1999,14(4):373-376. 被引量:4

二级参考文献33

  • 1孟广武.区间值Fuzzy集的基本理论[J].应用数学,1993,6(2):212-217. 被引量:64
  • 2张诚一.Fuzzy子环的商环与直和[J].模糊系统与数学,1993,7(1):93-100. 被引量:27
  • 3Zadeh L A. Fuzzy sets[J]. Information and Control, 1965,8 : 338- 353.
  • 4Rosenfeld A. Fuzzy groups[J]. J. Math. Anal. Appl, 1971,35 : 512-517.
  • 5Liu W J. Fuzzy invariant subgroups and fuzzy ideals[J]. Fuzzy Sets and Systems, 1982,8 : 133- 139.
  • 6Liu W J. Operations on fuzzy ideals[J]. Fuzzy Sets and Systems, 1983,11:31-41.
  • 7Atanassov K. Intuitionistic fuzzy sets[J]. Fuzzy Sets and Systems, 1986,20: 87- 96.
  • 8Banerjee B, Dhiren K, Basent R. Intuitionistic fuzzy subrings and ideals [J]. The Journal of Fuzzy Mathematics, 2003,11(1) :139-155.
  • 9Atanassov K. Intuitionistic fuzzy sets[J]. Fuzzy Sets and Systems, 1986,20:87-96.
  • 10Atanassov K. Interval valued intuitionistic fuzzy sets[J]. Fuzzy Sets and Systems, 1989, 31:343-349.

共引文献115

同被引文献16

  • 1张诚一.Fuzzy子环的商环与直和[J].模糊系统与数学,1993,7(1):93-100. 被引量:27
  • 2林梦雷.直觉模糊群与它的诱导商群[J].厦门大学学报(自然科学版),2006,45(2):157-161. 被引量:5
  • 3Zadeh L A. Fuzzy sets[J ]. Information and Control,1965,8: 338-353.
  • 4Atanassov K, Gargov G. Interval Valued Intuitionistic Fuzzy Sets[ J ]. Fuzzy Sets and Systems, 1989(31):342-349.
  • 5Rosenfeld A. Fuzzy groups[ J ]. J.Math.Anal Appl,1971,35: 512-517.
  • 6Liu W J. Fuzzy invariant subgroups and ideals[ J ]. Fuzzy Sets and Systems.1982,8:133-139.
  • 7Atanassov K. Intuitionistic fuzzy sets[ J ]. Fuzzy Sets and Systems, 1986,20: 87-96.
  • 8Banerjee B, Dh iren K, Basent R. Intuition isticfuzzy subrings and ideals[ J ]. The Journal of Fuzzy Mathematics, 2003,11(1):139-155.
  • 9Atanassov K, Gargov G. Interval Valued Intuitionistic Fuzzy Sets[ J ]. Fuzzy Sets and Systems.,1989(31):342-349.
  • 10詹建明.区间值直觉模糊超子群[J].Journal of Mathematical Research and Exposition,2007,27(4):755-761. 被引量:6

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