Title :
On the topological properties of intuitionistic fuzzy rough sets
Author :
Lin, Renbing ; Wang, Jiyi
Author_Institution :
Dept. of Math. & Phys., Zhejiang Shuren Univ., Hangzhou, China
Abstract :
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 intuitionistic fuzzy relation consists of a intuitionistic fuzzy topology which satisfies IFT Condition.
Keywords :
fuzzy set theory; rough set theory; IFT condition; finite universe; intuitionistic fuzzy rough sets; intuitionistic fuzzy topology; topological properties; Fuzzy set theory; Fuzzy sets; Information science; Pattern analysis; Pattern recognition; Physics; Rough sets; Set theory; Topology; Approximation operator; Intuitionistic fuzzy topology; Rough set; fuzzy set;
Conference_Titel :
Granular Computing, 2009, GRC '09. IEEE International Conference on
Conference_Location :
Nanchang
Print_ISBN :
978-1-4244-4830-2
DOI :
10.1109/GRC.2009.5255088
