【摘要】 通过直觉模糊覆盖概念将覆盖粗糙集模型进行推广,提出一种基于直觉模糊覆盖的直觉模糊粗糙集模型.首先,介绍了直觉模糊集、直觉模糊覆盖和直觉模糊逻辑算子等概念;然后,利用直觉模糊三角模和直觉模糊蕴涵,构建两对基于直觉模糊覆盖的下直觉模糊粗糙近似算子和上直觉模糊粗糙近似算子;最后,给出了这些算子的基本性质并研究了它们之间的对偶性.更多还原

【Abstract】 Generalizations of covering-based rough set models are made by the concept of intuitionistic fuzzy coverings. The intuitionistic fuzzy rough set models based on intuitionistic fuzzy coverings are proposed. Firstly, the concepts of an intuitionistic fuzzy set, an intuitionistic fuzzy covering and intuitionistic fuzzy logical operators are introduced. Secondly, based on an intuitionistic fuzzy covering of a universe of discourse, two pairs of generalized lower and upper intuitionistic fuzzy rough approximation operators are constructed by means of an intuitionistic fuzzy triangular norm and an intuitionistic fuzzy implicator. Finally, basic properties of the generalized intuitionistic fuzzy rough approximation operators are investigated, and the duality between these approximation operators is examined.更多还原