Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (31): 43-44.DOI: 10.3778/j.issn.1002-8331.2010.31.012
• 研究、探讨 • Previous Articles Next Articles
YU Hai，ZHAN Wan-rong
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于 海，詹婉荣
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Abstract: The concept of implicative closure systems is introduced on complete residuated lattices.The relations between implicative closure systems and closure systems are discussed.Some properties and the representation theorem of implicative closure systems are given.Moreover，the relations between implicative closure operators and implicative closure systems are investigated.
Key words: complete residuated lattice, closure system, Implicative closure operator, implicative closure system
摘要： 在完备剩余格上引入了蕴涵闭包系统的概念，讨论了蕴涵闭包系统与闭包系统之间的关系。给出了蕴涵闭包系统的一些性质及其表示定理。进一步研究了蕴涵闭包算子和蕴涵闭包系统的关系。
关键词: 完备剩余格, 闭包系统, 蕴涵闭包算子, 蕴涵闭包系统
CLC Number:
O141
YU Hai，ZHAN Wan-rong. Implicative closure systems on complete residuated lattices[J]. Computer Engineering and Applications, 2010, 46(31): 43-44.
于 海，詹婉荣. 完备剩余格上的蕴涵闭包系统[J]. 计算机工程与应用, 2010, 46(31): 43-44.
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URL: http://cea.ceaj.org/EN/10.3778/j.issn.1002-8331.2010.31.012
http://cea.ceaj.org/EN/Y2010/V46/I31/43
