面向R-蕴涵算子的FMT-泛三I*算法  

FMT-universal triple I* method for R-implication operators

作　　者：唐益明[1] 李小梅[1] 吴玺[1] 

机构地区：[1]合肥工业大学计算机与信息学院,安徽合肥230009

出　　处：《山东大学学报（理学版）》2014年第8期22-27,共6页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(61203077;2014T70585);中国博士后科学基金资助项目(2012M521218;2014770585);国家863高技术研究发展计划项目基金(2012AA011103)

摘　　要：针对模糊推理的FMT(fuzzy modus tollens)问题,作为三I*算法的推广与改进形式,研究了FMT-泛三I*算法。首先,分析了FMT-泛三I*算法的属性,提出了该算法的基本原则,改进了之前三I*算法的原则。其次,面向R-蕴涵算子,建立了FMT-泛三I*算法的统一形式的解,同时针对几类经典的R-蕴涵算子,分别获得了具体情形下的优化解。最后,证明了FMT-泛三I*算法的置换还原性,获得了良好效果。Focusing on the FMT（fuzzy modus tollens）problem of fuzzy reasoning,as a generalization and improvement of triple I＊ method,the FMT-universal triple I＊ method is put forward and thoroughly investigated.First of all,the attributes of the FMT-universal triple I＊ method are analyzed,and its basic principle is proposed,which improves the one of triple I＊ method.Furthermore,the unified form of FMT-universal triple I＊ method is established,meanwhile some optimal solutions are obtained for several classical R-implication operators.Finally,the contrapositive reversibility property of FMT-universal triple I＊ method is proved with excellent results.

关 键 词：模糊推理 三I算法 泛三I算法 还原性 

分 类 号：O159[理学—数学] TP18[理学—基础数学]