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NML代数的滤子及其结构

Structure of filters in NML algebras
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摘要 首先在NML代数上引入MP-滤子与素滤子的概念,进而讨论了滤子和素滤子的基本性质,最后在全体素滤子之集上建立了拓扑结构。 NML algebras is the common base of MV-algebras and R0-algebras.Firstly the concepts of MP-fihers and prime filter in NML algebras are introduced,and then topological structure of the set of all prime filters of NML algebras are discussed.
作者 胡明娣
出处 《计算机工程与应用》 CSCD 北大核心 2008年第2期35-37,共3页 Computer Engineering and Applications
基金 国家自然科学基金( the National Natural Science Foundation of China under Grant No.10331010, No.60272022) 2006 年安康学院科研基金( No.2006AKXY012) 2007 年陕西师范大学硕士创新基金( No.2007CXS016) 。
关键词 NML代数 MP-滤子 素滤子 拓扑空间 NML algebras MP-filter prime filter topological space
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参考文献7

  • 1Esteva F,Godo L.Monoidal t-norm based logic:towards a logic for left-continuous t-norms[J].Fuzzy Sets and Systems,2001,124:271-288. 被引量:1
  • 2Gottwald S.A treatise on many-valued logics[M].Baldock:Research Studies Press LTD,2001. 被引量:1
  • 3Hájek P.Metamathematics of fuzzy logic[M].Dordrecht:Kluwer,1998. 被引量:1
  • 4Wang San-min,Wang Bao-shu,Ren Fang.NML,a schematic extension of F.Esteva and L.Godo's logic MTL[J].Fuzzy Sets and Systems,2005,149:285-295. 被引量:1
  • 5Pavelka J.On fuzzy logic(Ⅰ; Ⅱ; Ⅲ)[J].Z.Math Logik Grund Math,1979,25:45 -52; 119-134; 447-464. 被引量:1
  • 6王国俊著..非经典数理逻辑与近似推理[M].北京:科学出版社,2000:305.
  • 7胡明娣.NML代数的性质及其滤子与理想[J].纺织高校基础科学学报,2007,20(3):223-226. 被引量:1

二级参考文献11

  • 1ESTEVA F,GODOL. Monoidal t-norm based logic: towards a logic for left-continuous t-norms [J]. Fuzzy Sets and Systems, 2001,124 : 271-288. 被引量:1
  • 2GOTTWALD S. A treatise on many-valued logics [M]. Baldock: Research Studies Press LTD,2001. 被引量:1
  • 3HaJEK P. Metamathematics of fuzzy logic[M]. Dordrecht :Kluwer, 1998. 被引量:1
  • 4WANG San-min, WANG Bao-shu, REN Fang. NML,a schematic extension of F,Esteva and L. Godo's logic MTL[J]. Fuzzy Sets and Systems, 2005,149: 285-295. 被引量:1
  • 5PAVELKA J. On fuzzy logic[J] Z Math Logik Grund Math,1979,25: 45-52, 119-134, 447-464. 被引量:1
  • 6PEI D W. R0 implication: characteristics and applications[J]. Fuzzy Sets and Systems,2002,131(3) : 297-302. 被引量:1
  • 7PEI D W. On equivalent forms of fuzzy logic systems NM and IMTL [J]. Fuzzy Sets and Systems, 2003,138(1) : 187-195. 被引量:1
  • 8JENEI S. New family of triangular norms via contrapositive symmetrization of residuated implication[J]. Fuzzy Sets and Systems, 2000,110(2) : 157-174. 被引量:1
  • 9KLEMENT E P, MESIAR R, PAP E. Triangular norms[M]: Dordrecht:Kluwer Academic Publishers,2000. 被引量:1
  • 10裴道武.剩余格与正则剩余格的特征定理[J].数学学报(中文版),2002,45(2):271-278. 被引量:83

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