Compactness of Soft Rough Topological Space
Li Fu *
School of Mathematics and Statistics, Qinghai Nationalities University Xining, Qinghai 810000, P.R. China.
Hua Fu
Fujian Police College, Fujian, Fuzhou, 350008, P.R. China
*Author to whom correspondence should be addressed.
Abstract
In this paper, the compactness of soft topological space is discussed in the soft rough formal context T = (G,M,R, F). The countable (finite) cover is de ned over the rough soft formal context. Based on them, the soft compact topological space, compact subset, relative soft topology are de ned, and compact properties of soft rough topological space is discussed over the rough soft formal context. The sufficient and necessary condition is given to check whether a given soft rough topological space is a compact.
Keywords: Soft rough formal context, soft rough topological space, soft open(closed) set, countable ( finite) cover, soft compactness.