正则蕴涵算子族G-λ-R_0及其三I支持算法  

Regular family of implication operator and its fuzzy reasoning triple I sustaining method

作　　者：张森[1] 李成允[1] 张兴芳[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《计算机工程与应用》2009年第22期29-31,58,共4页Computer Engineering and Applications

基　　金：教育部科学技术研究重点项目No.206089~~

摘　　要：首先给出了一个新的蕴涵算子族:G-λ-R(0λ∈[0,1])(它包括G觟de(l简称RG)算子与R0算子)。然后重点讨论了G-λ-R0(λ∈[0,1])族算子的伴随算子及其正则性。结果表明,在该算子族中,每一个算子都具有伴随算子且具有正则性。从而说明了此算子是较理想的蕴涵算子。最后讨论了基于此蕴涵算子族的三I支持算法。In the paper a regular family of fuzzy implication operator is given,which is denoted by G-A-Ro （λ ∈ [0,1]）.Operator Godel （simple denoted Re） and operatorare R0 included in G-λ-Ro （λ ∈ [0,1]）.The paper mainly discusses regularity of G-λ-R0 （λ ∈[0,1]） and the residual of G-λ-R0（λ ∈ [0,1]） with its t-norms.The result indicates that all operators in G-A-Ro（λ ∈ [0,1]） have residual t-norms and satisfy regularity.Consequently,the family of fuzzy implication operator is ideal.Finally,triple Ⅰ sustaining method with respect to FMP and FMT models are discussed.

关 键 词：蕴涵算子族G-λ-R0 伴随算子 正则性 三I支持算法 

分 类 号：O159[理学—数学] O177.3[理学—基础数学]