基于覆盖的直觉模糊粗糙集  

Intuitionistic fuzzy rough sets based on intuitionistic fuzzy coverings

作　　者：张植明[1] 白云超[2] 田景峰[3] 

机构地区：[1]河北大学数学与计算机学院,河北保定071002 [2]河北大学经济学院,河北保定071002 [3]华北电力大学科技学院,河北保定071051

出　　处：《控制与决策》2010年第9期1369-1373,共5页Control and Decision

基　　金：国家自然科学基金项目(60773062);教育部科学技术研究重点项目(206012);河北省自然科学基金项目(2008000633);河北省教育厅科研计划重点项目(2005001D)

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.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.

关 键 词：粗糙集 直觉模糊集 直觉模糊逻辑算子 直觉模糊覆盖 直觉模糊粗糙集 

分 类 号：TP181[自动化与计算机技术—控制理论与控制工程]