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

摘要： Fuzzy推理条件应当是可信的或基本可信的，否则对其研究就无意义，因此进行推理时对已知条件真实程度不超过1/2的值不予考虑。新型α-三I算法将推理中的大小前提进行修正，摒弃了不可信的推理成分，从而简化了运算过程。基于Fuzzy推理中提出的“过半可信”原则，证明了R_G 蕴涵算子满足这一原则，并讨论了R_G 蕴涵算子下FMP（fuzzy modus ponens）模型和FMT（fuzzy modus tollens）模型的新型三I算法以及新型α-三I算法的计算公式且给予证明。

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