关键词: 过半可信原则, R_G 蕴涵算子, 新型三I算法, 新型&alpha, -三I算法

Abstract: Fuzzy reasoning conditions should be credible or basic credible, otherwise it’s meaningless to study. So it isn’t considered that the true extent doesn’t exceed the value of 1/2 when making the fuzzy reasoning. In order to simplify the process of operations, new [α-]triple I method revises the major and minor premise of the reasoning, and abandons the unreliable components. Based on the principle of credit beyond half of fuzzy reasoning, it is proved that R_G implication operator satisfies the principle of credit beyond half. Four methods are discussed and proved based on R_G implication operator, they are FMP (fuzzy modus ponens) model and FMT (fuzzy modus tollens) model fuzzy reasoning new triple I methods and new α-triple I method.

Key words:  principle of credit beyond half, R_G implication operator, new triple I method, new α-triple I method