Abstract: Based on the principle of credit beyond half of fuzzy reasoning, it is proved that[RG]implication operators satisfy the principle of credit beyond half. Three methods are discussed and proved based on a type of implication operators, they are FMP model fuzzy reasoning new reverse triple I sustaining method, new reverse [α-]triple I sustaining method and new reverse [α-]triple I restricted method.

Key words: principle of credit beyond half, [RG]implication operators, FMP model, new reverse triple I sustaining method, new reverse [α-]triple I sustaining method, new reverse [α-]triple I restricted method

摘要： 针对Fuzzy推理中提出的“过半可信”原则，证明了[RG]蕴涵算子满足这一原则，并讨论了[RG]蕴涵算子下FMP模型的新型反向三I支持算法，新型[α-]反向三I支持算法，新型[α-]反向三I约束算法的计算公式，且给予证明。

关键词: 过半可信原则, [RG]蕴涵算子, FMP模型, 新型反向三I支持算法, 新型[&alpha, -]反向三I支持算法, 新型[&alpha, -]反向三I约束算法