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积格上蕴涵算子的直积分解
引用本文:王住登.积格上蕴涵算子的直积分解[J].模糊系统与数学,2007,21(6):13-17.
作者姓名:王住登
作者单位:浙江万里学院,数学研究所,浙江,宁波,315100;盐城师范学院,数学科学学院,江苏,盐城,224002
基金项目:Natural Science Foundation of Zhejiang Province Education Commission,Natural Science Foundation of Jiangsu Province Education Commission,Science Foundation of Zhejiang Wanli University,Science Foundation of Yancheng Teacher’s College
摘    要:进一步讨论蕴涵算子的直积分解,描述积格上可以分解为两个蕴涵算子直积的蕴涵算子的特性,并研究积格上S-蕴涵、R-蕴涵、n-反演R-蕴涵和n-反演QL-蕴涵的可分解性。

关 键 词:非经典逻辑  t-模  蕴涵  直积分解
文章编号:1001-7402(2007)06-0013-05
收稿时间:2006-06-08
修稿时间:2006年6月8日

Direct Decomposability of Implication Operators on Product Lattices
WANG Zhu-deng.Direct Decomposability of Implication Operators on Product Lattices[J].Fuzzy Systems and Mathematics,2007,21(6):13-17.
Authors:WANG Zhu-deng
Abstract:In this paper,we further discuss direct decompositions of implication operators and characterize the implication operator on a product lattice that is a direct product of two implication operators.Moreover,we study the direct decomposability of S-implications,R-implications,n-reciprocal R-implications and n-reciprocal QL-implications on a product lattice.
Keywords:Non-classical Logic  t-norm  Implication  Direct Decomposition
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