On regular generalized fuzzy closed sets and generalizations of fuzzy continuous functions. (Q1411768)

The authors define the concept of a regular generalized fuzzy closed set as follows: A fuzzy set \(D\) in a [0,1]-topological space is called a regular generalized closed set if \(cl(D)\leq U\) whenever \(D\leq U\) and \(U\) is regular open. Further they introduce the concepts of regular generalized continuous function, \(rgc\)-irresolute function, strongly \(rgc\)-continuous function, perfectly \(rgf\)-continuous function, \(rgf\)-connectedness and \(rgf\)-extremally disconnectedness. They also present characterizations and properties of these concepts.