Topological structures of intuitionistic fuzzy rough sets

被引：0
|
作者：
Wu, Wei-Zhi [1 ]
Zhou, Lei [1 ]
机构：
[1] Zhejiang Ocean Univ, Sch Math Phys & Informat Sci, Zhoushan 316004, Zhejiang, Peoples R China
来源：
PROCEEDINGS OF 2008 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-7 | 2008年
关键词：
approximation operators; approximation spaces; intuitionistic fuzzy sets; intuitionistic fuzzy topology; rough sets; topological spaces;
D O I：
暂无
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
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.
引用
收藏
页码：618 / 623
页数：6
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