期刊文献+

伪t-模与蕴涵的直积分解(英文) 被引量:5

Direct Product Decompositions of Pseudo t-norms and Implications
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摘要 本文研究伪t 模与蕴涵的直积分解 ,解决Baets和Mesiar提出的一个未解决的问题 ,并证明 ([0 ,1 ]2 , )上连续t 模都可以表示成 ([0 ,1 ], )上两个连续t This paper aims to study direct products and direct product decompositions of pseudo t-norms (implications), solve an open problem proposed by Baets and Mesiar in , and show that there doesn't exist continuous t-norms on ( 2, ) that are not a direct product of continuous t-norms on (, ).
出处 《中国科学技术大学学报》 CAS CSCD 北大核心 2001年第6期657-662,共6页 JUSTC
基金 theNaturalScienceFoundationofJiangsuProvinceEducationCommission(OOKJD110 0 0 6 )
关键词 非经典逻辑 伪T-模 蕴涵 真积分解 non-classical logic t-norm pseudo t-norm implication direct product decomposition
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参考文献2

  • 1Wang Z D,南京大学学报数学半年刊,2001年,18卷,1期,22页
  • 2Wang Z D,Fuzzy Sets and Systems,1994年,65卷,59页

同被引文献19

  • 1王学平,屈小兵.连续并既约元及其在刻画Fuzzy关系方程解集中的应用[J].数学学报(中文版),2006,49(5):1171-1180. 被引量:18
  • 2舒乾宇,王学平.[0,1]格上的无限@-Fuzzy关系方程的解集[J].四川师范大学学报(自然科学版),2007,30(3):326-329. 被引量:3
  • 3Wang Z D,Yu Y D. Pseudo-t-norms and implication operators on a complete Brouwerian lattice[J]. Fuzzy Sets and Systems,2002, (132) :113-124.
  • 4De Baets B, Mesiar R. Triangular norms on productlattices[J]. Fuzzy Sets and Systems, 1999, (104): 61-75.
  • 5王住登.On L—subsets, TL—subalgebras[J].Fuzzy Sets and Systems,1994,(65):59-69.
  • 6[1]王住登,于延栋.Pseudo-norms and implication operators on a complete Brouwerian lattice[J].Fuzzy Sets and Systems,2002,132:113-124.
  • 7[4]Baets B De,Mesir R.Triangular norms on product lattices[J].Fuzzy Sets and Systems,1999,104:61-75.
  • 8[5]Birkhoff G.Lattice Theory[M].Rhode Island:Amer Math Soc Coll Publ,1967.
  • 9[6]Wang Z D.On L-subsets,TL-subalgebras[J].Fuzzy Sets and Systems,1994,65:59-69.
  • 10Baets B De, Mesiar R. Triangulgular norms on product lattice [ J ]. Fuzzy sets and systems,1999,104 : 61-75.

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