多值置信的格值闭包算子及Galois联络Many Valued Confidence Lattice-Valued Closure Operators and Lattice-Valued Galois Connections
方进明,张虎,褚晓清
摘要(Abstract)：
在多值逻辑的环境下,为进一步完善格值闭包理论的置信化问题,提出多值置信滤子的概念和实例。以多值置信滤子为工具界定了置信格值闭包算子和置信格值Galois联络的概念,并得到它们的等价刻画条件。结果表明:多值置信滤子是十分有用的置信推理工具,其不但可以解决格值闭包算子的置信化问题,而且可以描述置信格值Galois联络现象。
关键词(KeyWords)： 多值逻辑;多值置信滤子;K-置信闭包算子;K-置信Galois联络
基金项目(Foundation): 山东省自然科学基金项目(ZR2011AQ010)资助
作者(Author): 方进明,张虎,褚晓清
DOI: 10.16441/j.cnki.hdxb.2013.01.015
参考文献(References)：
- [1]Biacino L,Gerla G.Closure system and L-subalgebras[J].In-form Sci,1984,33:181-195.
- [2]Biacino L,Gerla G.An extension principle for closure operators[J].J Math Anal Appl,1996,198:1-24.
- [3]Gerla G.Graded consequence relations and fuzzy closure operators[J].J Appl Non-Classical Logics,1996,6:369-379.
- [4]Bělohlávek R.Fuzzy Closure Operators[J].J Math Anal Appl,2001,2622001:473-489.
- [5]Bělohlávek R.Fuzzy Galois Connections[J].Math Logic Quart,1999,45(4):497-504.
- [6]Zhang D.An enriched category approach to many valued topology[J].Fuzzy Sets and Systems,2007,158:349-366.
- [7]Fang Jinming,Yue Yueli.L-fuzzy closure systems[J].FuzzySets and Syetems,2010,1612010:1242-1252.
- [8]Yao Wei,Lu Lingxia.Fuzzy Galois connections on fuzzy poset[J].Math Logic Quart,2009,55(1):105-112.
- [9]Goguen J A.L-fuzzy sets[J].J Math Anal Appl,1967,18:145-174.
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