基于蕴涵式直觉模糊推理的IFRS上、下近似推理

Upper and lower approximation reasoning in IFRS based on implication expression of intuitionistic fuzzy reasoning

针对粗糙集和模糊粗糙集推理的局限性,介绍了直觉模糊集中蕴涵式直觉模糊推理算法,提出了一种基于蕴涵式直觉模糊推理的IFRS上、下近似推理算法。该算法引入了直觉模糊粗糙集(IFRS)模型,并将直觉模糊条件推理中的蕴涵式直觉模糊推理扩展到直觉模糊粗糙集(IFRS)环境下,通过计算集合的上下近似来更好地表现最终推理结果的模糊性。最后通过一个算例说明算法的可行性,算例表明推理结果是通过上下近似表示的两个直觉模糊集合,且其隶属度函数值与非隶属度函数值相加小于等于1。

Because of the limits of Rough Set（ RS） and Fuzzy RS（ FRS）,implication expression of the intuitionistic fuzzy reasoning algorithm in Intuitionistic Fuzzy Set（ IFS） was introduced,and an upper and lower approximation reasoning algorithm in IFRS based on the implication expression of the intuitionistic fuzzy reasoning was proposed.The model of intuitionistic fuzzy rough set was introduced in the algorithm,and the implication expression of the intuitionistic fuzzy reasoning was extended to IFRS,the fuzziness of the reasoning result was better performed by computing the set＇ s upper and lower approximation.Finally,the feasibility of the algorithm was testified via an example,which showed that the reasoning result is two intuitionistic fuzzy sets expressed by their upper and lower approximations,and it＇ s membership function value plus non-membership function value is less than or equal to 1.