DOUBLE PAIRWISE (r, s)(u, v)-SEMICONTINUOUS MAPPINGS

Abstract

Abstract. We introduce the concepts of (T  ;U  )-double (r;s)(u;v)-semiclosures and (T  ;U  )-double (r;s)(u;v)-semiinteriors.Using the notions, we investigate some of characteristic proper-ties of double pairwise (r;s)(u;v)-semicontinuous, double pairwise(r;s)(u;v)-semiopen and double pairwise (r;s)(u;v)-semiclosed map-pings. 1. IntroductionChang [2] de ned fuzzy topological spaces. These spaces and itsgeneralizations are later studied by several authors, one of which, devel-oped by Sostak [13], used the idea of degree of openness. This type ofgeneralization of fuzzy topological spaces was later rephrased by Chat-topadhyay, Hazra, and Samanta [3], and by Ramadan [12].As a generalization of fuzzy sets, the concept of intuitionistic fuzzysets was introduced by Atanassov [1]. C˘oker and his colleagues [4, 6,7] introduced intuitionistic fuzzy topological spaces using intuitionisticfuzzy sets. Using the idea of degree of openness and degree of nonopen-ness, C˘oker and M. Demirci [5] de ned intuitionistic fuzzy topologicalspaces in Sostak’s sense as a generalization of smooth fuzzy topologicalspaces and intuitionistic fuzzy topological spaces.Kandil [8] introduced and studied the notion of fuzzy bitopologicalspaces as a natural generalization of fuzzy topological spaces.In this paper, we introduce the concepts of (T