The Unified Of SIS Methods For Fuzzy Reasoning And Its Properties

At present,the most commonly used and investigated fuzzy reasoning methods in applications are still CRI method and triple I method.However,as pointed out by some author,the CRI method and triple I method have some imperfections.For example,the composition operation in CRI method lacks clear logical sense and the approach does not possess the reductivity property.Although the triple I method has clear logical sense,it does not possess the reductivity property for free.While the reversibility is the most important evaluation index for method of fuzzy reasoning.This paper mainly discusses two points.In Section 3, the unified expression for solving Fuzzy Modus Ponens problems is given firstly based on Subsethood inference Subsethood method under the framework of regular implication operators, Secondly,an improved SIS FMT algorithm and the unified form of it's solve are proposed. It is proved that the SIS FMP algorithm and SIS FMT algorithm are both unconditionally reversible. In the end, the solution of SIS algorithm for FMP and FMT is studied.In addition,for an inference mechanism,if small disturbances of input always cause small changes of output,then we say the method has a good behavior of robustness.scholars In Section 4,the robustness of the SIS algorithms and SIS restriction algorithms for fuzzy reasoning are analysed under the framework of regular implication operators.Finally,the robustness of the SIS method are investigated under the framework of strong regular implication operators.