Abstract

In this paper, we introduce the concept of fuzzy (r, s)-pre-semicontinuous mappings on intuitionistic fuzzy topological spaces in Sostak's sense. The concepts of fuzzy (r, s)-pre-semineighborhood and fuzzy (r, s)-quasi-pre-semineighborhood are given. The characterizations for the fuzzy (r, s)-pre-semicontinuous mappings are obtained. Also, we introduce the notions of fuzzy (r, s)-pre-semiopen and fuzzy (r, s)-pre-semiclosed mappings, and then we investigate some of their characteristic properties.

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