直觉模糊粗糙集的拓扑性质

Renbing Lin, Jiyi Wang
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引用次数: 2

摘要

本文讨论了有限宇宙上直觉模糊粗糙集模型与直觉模糊拓扑之间的关系。提出了直觉模糊拓扑的IFT条件。证明了基于自反传递直觉模糊关系的所有下逼近集的集合由满足IFT条件的直觉模糊拓扑构成。
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On the topological properties of intuitionistic fuzzy rough sets
This paper is devoted to the discussion of the relationship between intuitionistic fuzzy rough set models and intuitionistic fuzzy topologies on a finite universe. The IFT Condition for intuitionistic fuzzy topology is proposed. It is proved that the set of all lower approximation sets based on a reflexive and transitive intuitionsitic fuzzy relation consists of a intuitionistic fuzzy topology which satisfies IFT Condition.
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