摘要
针对直觉模糊逻辑及命题演算,提出了利用隶属度和犹豫度计算直觉模糊逻辑命题真值的合成方法.给出了直觉模糊逻辑命题的运算规则,重点研究了基于直觉模糊逻辑的近似推理方法.该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,并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提出的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.
To the questions of propositional calculus on intuitionistie fuzzy logic （IFL）, a synthetic method for finding the truth of IFL propositions using membership and hesitancy degree is proposed. The fundamental operation rules on IFL propositions are exposed. The emphasized investigation is the techniques for approximate reasoning on IFL, 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 proposed method are verified and the detailed steps of verification are shown with a particular instance.
出处
《控制与决策》
EI
CSCD
北大核心
2006年第3期305-310,共6页
Control and Decision
基金
国防科技预研基金项目(51406030104DZ0120)
关键词
计算智能
模糊集合
直觉模糊逻辑
近似推理
直觉模糊命题
Computational intelligence
Fuzzy sets
Intuitionistic fuzzy logic
Approximate reasoning
intuitionistic fuzzy propositions
