语言真值直觉模糊命题逻辑系统的推理规则

摘要

提出了一种基于语言真值直觉模糊代数的直觉模糊命题逻辑系统.基于语言真值格蕴涵代数生成语言真值直觉模糊代数,可同时处理具有可比性或不可比性信息.该方法可以同时处理不确定性问题的正面证据和反面证据.研究了语言真值直觉模糊命题逻辑系统LP(S)的性质,得到了其公理及推理规则,也获得了L(χ)(S)中的证明与定理.实例说明,该方法在处理同时具有可比性和不可比性的直觉模糊决策问题中更灵活、更有效.%A kind of intuitionistic fuzzy logic system LP(S) based on linguistic truth-valued intuitionistic fuzzy algebra is proposed.The linguistic truth-valued intuitionistic fuzzy algebra comes from the linguistic truth-valued implication algebra which is fit to express both comparable and incomparable infonnation.The method can deal with the uncertain problem which has both positive evidence and negative evidence at the same time.Some axioms and reasoning rules of LP(S) are dis-cussed.The proofs and theorems are also obtained.An illustration example of intuitionistic fuzzy decision making shows that the method is more flexible and effective for the decision making problem.