江西科学2007，Vol.25Issue(4)：359-362,4.
完备布劳威尔格上蕴涵的结构
The Structure of Implications on A Complete Brouwerian Lattice
摘要
Abstract
Investigate the set of all implications on a complete Brouwerian lattice.Define operators to endow these sets as monoid structure,which are also complete Brouwerian lattice.Then discuss the implication operators on a linear complete Brouwerian lattice,and propose a method to generate new implication operators.Moreover,the contra-positive symmetrization property of implication operators and the relation between two comparable implications on[0,1]are studied.关键词
模糊集理论/三角模/蕴涵/幺半群/完备布劳威尔格Key words
Fuzzy set theory/T-norms/Implication/Monoid/Complete Brouwerian lattice分类
数理科学引用本文复制引用
李伟才,覃锋,易志洪..完备布劳威尔格上蕴涵的结构[J].江西科学,2007,25(4):359-362,4.基金项目
This work is supported by Programme of National Natural Science Fund(No.60663002),Programme of Jiangxi Natural Science Fund(No.0611052),and Graduate-Innovation of Jiangxi Normal University Fund (2007). （No.60663002）
