积格上蕴涵算子的直积分解(英文)  

Direct Decomposability of Implication Operators on Product Lattices

作　　者：王住登[1] 

机构地区：[1]浙江万里学院数学研究所

出　　处：《模糊系统与数学》2007年第6期13-17,共5页Fuzzy Systems and Mathematics

基　　金：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。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.

关 键 词：非经典逻辑 T-模 蕴涵 直积分解 

分 类 号：O141.1[理学—数学]