Implicative closure operators on complete residuated lattices

doi:10.3778/j.issn.1002-8331.2010.28.014

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (28): 49-50.DOI: 10.3778/j.issn.1002-8331.2010.28.014

• 研究、探讨 • Previous Articles Next Articles

Implicative closure operators on complete residuated lattices

YU Hai，ZHAN Wan-rong

College of Mathematics and Science，Luoyang Normal College，Luoyang，Henan 471022，China

Received:2009-06-22 Revised:2009-08-03 Online:2010-10-01 Published:2010-10-01
Contact: YU Hai

完备剩余格上的蕴涵闭包算子

于海，詹婉荣

洛阳师范学院数学科学学院，河南洛阳 471022

通讯作者: 于海

Abstract

Abstract: By means of implication operation，implicative closure operators are defined on complete residuated lattices.Some equivalent characterizations and the representation theorem are given.

Key words: residuated lattice, complete residuated lattice, closure operator, implicative closure operator

摘要： 利用蕴涵运算，在完备剩余格上定义了蕴涵闭包算子，给出了它的若干等价刻画及其表示定理。

关键词: 剩余格, 完备剩余格, 闭包算子, 蕴涵闭包算子

CLC Number:

O141

YU Hai，ZHAN Wan-rong. Implicative closure operators on complete residuated lattices[J]. Computer Engineering and Applications, 2010, 46(28): 49-50.

于海，詹婉荣. 完备剩余格上的蕴涵闭包算子[J]. 计算机工程与应用, 2010, 46(28): 49-50.

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Implicative closure operators on complete residuated lattices

完备剩余格上的蕴涵闭包算子

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