Title :
Fuzzy Topological Properties on Rough Set Model
Author_Institution :
Dept. of Math., Tianjin Polytech. Univ., Tianjin, China
Abstract :
In this paper , when lower and upper approximation operations satified a limit during [0,1], we discuss the relation- ship between fuzzy rough set models and fuzzy topologies on a finite universe, then prove some properties on rough set model which the set of all lower approximation sets based on a reflexive fuzzy relation consists of a fuzzy topology.
Keywords :
approximation theory; fuzzy set theory; rough set theory; topology; finite universe; fuzzy rough set models; fuzzy topological property; fuzzy topology; lower approximation operations; reflexive fuzzy relation; upper approximation operations; Approximation methods; Fuzzy sets; Indexes; Marine vehicles; Mathematical model; Rough sets; Topology;
Conference_Titel :
Control, Automation and Systems Engineering (CASE), 2011 International Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4577-0859-6
DOI :
10.1109/ICCASE.2011.5997752
