TOPOLOGICAL STRUCTURES OF INTUITIONISTIC FUZZY ROUGH SETS

摘要：

In this paper, we investigate the topological structures of intuitionistic fuzzy rough sets. It is shown that an intuitionistic fuzzy rough approximation space can induce an intuitionistic fuzzy topological space if and only if the intuitionistic fuzzy relation in the approximation space is reflexive and transitive. The sufficient and necessary conditions that an intuitionistic fuzzy interior (closure, respectively) operator in an intuitionistic fuzzy topological space can associate with an intuitionistic fuzzy reflexive and transitive relation such that the inducing intuitionistic fuzzy rough lower (upper, respectively) approximation operator is the intuitionistic fuzzy interior (closure, respectively) operator are also examined.

关键词： Approzimation operators approzimation spaces intuitionistic fuzzy sets intuitionistic fuzzy topology rough sets topological spaces

作者: WEI-ZHI WU LEI ZHOU

作者单位: School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan, Zhejian School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan, Zhejian

会议类型: 国际会议

会议名称: 2008 International Conference on Machine Learning and Cybernetics(2008机器学习与控制论国际会议)

会议地点: 昆明

会议语种:英文

页码: 618-623

在线出版日期: 2008-07-12（万方平台首次上网日期，不代表论文的发表时间）