A theory of reverse triple I method with sustention degree is presented by using the implication operator R0 in every step of the fuzzy reasoning. Its computation formulas of supremum for fuzzy modus ponens and infimu...A theory of reverse triple I method with sustention degree is presented by using the implication operator R0 in every step of the fuzzy reasoning. Its computation formulas of supremum for fuzzy modus ponens and infimum for fuzzy modus tollens are given respectively. Moreover, through the generalization of this problem, the corresponding formulas of α-reverse triple I method with sustention degree are also obtained. In addition, the theory of reverse triple I method with restriction degree is proposed as well by using the operator R0, and the computation formulas of infimum for fuzzy modus ponens and supremum for fuzzy modus tollens are shown.展开更多
综合考虑推理模型与逻辑系统,提出反向对称蕴涵算法,建立反向对称蕴涵原则,通过探究其解的性质验证其合理性,改进以前的反向三Ⅰ算法的原则。以经典的Lukasiewicz蕴涵算子为对象,针对FMP(fuzzy modus ponens)和FMT(fuzzy modus tollens...综合考虑推理模型与逻辑系统,提出反向对称蕴涵算法,建立反向对称蕴涵原则,通过探究其解的性质验证其合理性,改进以前的反向三Ⅰ算法的原则。以经典的Lukasiewicz蕴涵算子为对象,针对FMP(fuzzy modus ponens)和FMT(fuzzy modus tollens)问题分别获得其优化解。面向FMP和FMT问题分别证明反向对称蕴涵算法的还原性。展开更多
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...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。展开更多
基金This work was supported by the National Natural Science Foundation of China (Grant Nos.60074015, 60004010) and Basal Research Foundations of Tsinghua University (Grant No. JC2001029) and 985 Basic Research Foundation of the School of Information Sc
文摘A theory of reverse triple I method with sustention degree is presented by using the implication operator R0 in every step of the fuzzy reasoning. Its computation formulas of supremum for fuzzy modus ponens and infimum for fuzzy modus tollens are given respectively. Moreover, through the generalization of this problem, the corresponding formulas of α-reverse triple I method with sustention degree are also obtained. In addition, the theory of reverse triple I method with restriction degree is proposed as well by using the operator R0, and the computation formulas of infimum for fuzzy modus ponens and supremum for fuzzy modus tollens are shown.
文摘综合考虑推理模型与逻辑系统,提出反向对称蕴涵算法,建立反向对称蕴涵原则,通过探究其解的性质验证其合理性,改进以前的反向三Ⅰ算法的原则。以经典的Lukasiewicz蕴涵算子为对象,针对FMP(fuzzy modus ponens)和FMT(fuzzy modus tollens)问题分别获得其优化解。面向FMP和FMT问题分别证明反向对称蕴涵算法的还原性。
文摘针对模糊推理的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。
