关键词: 粗糙集, 模糊集, support-intuitionistic模糊集, 近似算子, 聚类

Abstract: Theories of rough sets and fuzzy sets have been used for modeling various types of uncertainty. Dubois and Prade investigate the problem of combining fuzzy sets with rough sets. In this paper, the notion of Rough Support-Intuitionistic Fuzzy（RSIF） sets is introduced. The concepts of rough sets, rough intuitionistic fuzzy sets and support-intuitionistic fuzzy sets are introduced. The lower and upper approximations of support-intuitionistic fuzzy sets with respect to Pawlak’s approximation space are defined and the properties of Rough Support-Intuitionistic Fuzzy（RSIF） approximation operators are discussed. Their expression of similarity degree is proposed. This idea is applied into clustering analysis, and an example is given to verify its reasonableness.

Key words: rough sets, fuzzy sets, support-intuitionistic fuzzy sets, approximation operators, clustering