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.
出处
《智能系统学报》
北大核心
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)
