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正则蕴涵算子族G-λ-R0及其三Ⅰ支持算法
引用本文:张森,李成允,张兴芳.正则蕴涵算子族G-λ-R0及其三Ⅰ支持算法[J].计算机工程与应用,2009,45(22).
作者姓名:张森  李成允  张兴芳
作者单位:聊城大学数学科学学院,山东聊城,252059
基金项目:教育部科学技术研究重点项目 
摘    要:首先给出了一个新的蕴涵算子族:G-λ-R0(λ∈0,1])(它包括Gsdel(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.

关 键 词:蕴涵算子族G-λ-R0  伴随算子  正则性  三Ⅰ支持算法  family  of  implication  operator  G-λ-R0  triple    sustaining  method

Regular family of implication operator and its fuzzy reasoning triple Ⅰsustaining method
ZHANG Sen,LI Cheng-yun,ZHANG Xing-fang.Regular family of implication operator and its fuzzy reasoning triple Ⅰsustaining method[J].Computer Engineering and Applications,2009,45(22).
Authors:ZHANG Sen  LI Cheng-yun  ZHANG Xing-fang
Abstract:In the paper a regular family of fuzzy implication operator is given,which is denoted by G-λ-R0(λ∈0,1]).Operator Codel (simple denoted Rc) and operatorare R0 included in G-λ-R0 (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 inG-λ-R0(λ∈0,1])have residual t-norms and satisfy regularity.Cousequendy,the family of fuzzy implication operator is ideal.Finally,triple Ⅰsustaining method with respect to FMP and FMT models are discussed.
Keywords:residual operators  regularity
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