基于直觉模糊逻辑的插值推理方法

针对直觉模糊逻辑及命题演算,揭示了规则前件与规则后件中模糊论域之间的映射关系,提出利用隶属度与非隶属度计算直觉模糊逻辑的插值推理方法.研究了在连续空间与离散空间状态下线性插值的推理合、成方法,包括直觉模糊取式推理、直觉模糊拒式推理及直觉模糊假言推理,推导了相关的推理合成运算公式.以具体算例验证和表明了所推导方法的正确性和有效性,以及对方法进行验证的详细步骤.

Techniques for interpolation reasoning based on intuitional fuzzy logic

In view of the questions of propositional calculus on intuitional fuzzy logic(IFL),the mappings between the universe of discourse of fuzzy terms in the antecedent of the rule and that in the consequent of the rule are revealed,and a technique for interpolation reasoning using membership and non-membership is proposed.The emphasized investigation is the synthetic method of linear interpolation on the state of both continuous spaces and discrete spaces,including the generalized Modus Ponens,generalized Modus Tollens,generalized Hypothetical Syllogism on IFL.The related sets of mathematical formulas of inference compositional operations are derived.The correctness and validity of the developed methods are verified and the detailed steps of verification are shown with a particular instance.