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剩余型直觉模糊推理的反向三I方法

         

摘要

The reverse triple I principle, reverse α-triple I principle and reverse triple I restriction principle of intuitionistic fuzzy reasoning for intuitionistic fuzzy modus ponens( IFMP) and intuitionistic fuzzy modus tollens(IFMT) problems are proposed.Aiming at the residual intuitionistic fuzzy implicator, the formulas and decomposition forms of solutions of intuitionistic fuzzy reasoning reverse triple I methods, reverse α-triple I methods and reverse triple I restriction methods for IFMP and IFMT problems are given. It is pointed out that these methods are all generalized in the case of the corresponding fuzzy sets. Moreover, the reductive properties of intuitionistic fuzzy reasoning reverse triple I methods for IFMP and IFMT problems are discussed.%提出直觉模糊取式(IFMP)和直觉模糊拒取式(IFMT)问题的直觉模糊推理的反向三I原则、反向α-三I原则和反向三I约束原则.针对剩余型直觉模糊蕴涵算子,给出IFMP、IFMT问题的直觉模糊推理的反向三I算法、反向α-三I算法及反向三I约束算法求解的计算公式和分解形式,指出这些算法都是相应模糊集情形下的推广,讨论IFMP、IFMT问题的直觉模糊推理的反向三I算法的还原性.

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