基于Schweizer-Sklar三角范数簇诱导的剩余蕴涵簇的反向三Ⅰ算法  

The reverse triple Ⅰ algorithms based on a class of residual implications induced by the family of Schweizer-Sklar t-norms

作　　者：罗敏霞[1] 桑睨[1] 何华灿[2] 

机构地区：[1]中国计量学院理学院,浙江杭州310018 [2]西北工业大学计算机学院,陕西西安710072

出　　处：《智能系统学报》2012年第6期494-500,共7页CAAI Transactions on Intelligent Systems

基　　金：国家自然科学基金资助项目(61273018);浙江省自然科学基金资助项目(Y1110651)

摘　　要：Schweizer-Sklar三角范数簇具有柔化性,使得由其构造的逻辑系统在模糊推理中具有良好的属性.将Schweizer-Sklar三角范数簇与模糊推理反向三Ⅰ算法结合起来,给出基于Schweizer-Sklar三角范数簇诱导的剩余蕴涵簇的反向三Ⅰ算法和α-反向三I算法,并给出对应三Ⅰ解的表达式.结合Schweizer-Sklar三角范数簇诱导的剩余蕴涵簇的特点,讨论当参数取特殊值时对应的特殊蕴涵算子→D,→L,→G,→P的反向三Ⅰ算法及对应三Ⅰ解的表达式.提供一种柔化性的模糊推理反向三Ⅰ算法.Since the family of Schweizer-Sklar t-norms is flexible,they have good characteristics for fuzzy reasoning based on the logic systems which are based on these operators.Combining the fuzzy reasoning reverse triple Ⅰ algorithm and a class of residual implications induced by the family of Schweizer-Sklar t-norms,the reverse triple Ⅰ algorithms and α-reverse triple Ⅰ algorithm are proposed,as well as the corresponding expressions of reverse triple Ⅰ solutions and α-reverse triple Ⅰ solutions.Combined with the characteristics of the class of residual implications induced by the family of Schweizer-Sklar t-norms,this paper discusses the reverse triple Ⅰ algorithm based on→D,→L,→G,→P,when the parameter takes some special values,and the corresponding expressions of reverse triple Ⅰ solutions are proposed.A flexible fuzzy reasoning reverse triple Ⅰ algorithm is provided.

关 键 词：模糊推理 反向三Ⅰ算法 Schweizer-Sklar三角范数簇 FMP问题 FMT问题 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]