关键词: 粗糙直觉模糊集, 粗糙隶属函数, 近似算子, 近似精度, 相似度

Abstract: In Pawlak approximation space, it tries to find a better approximation of the goals set directing at the intuitionistic fuzzy goal sets, under the case that the information granularity is a constant. On the basis of known rough intuitionistic fuzzy sets, the new upper and lower approximation operators of intuitionistic fuzzy sets are established in the form of piecewise functions according to intuitionistic rough membership functions. In addition, some basic properties of the new model are discussed. Compared with the existing rough intuitionistic fuzzy sets, there has been a great improvement both in terms of approximation accuracy and similarity degree of the goal sets for the improved models. Finally the validity of the proposed conclusions has been verified by the numerical examples.

Key words: rough intuitionistic fuzzy sets, rough membership function, approximation operators, approximate accuracy, similarity degree