Fuzzy strongly (r, s)-precontinuous mappings

Authors:
Seok Jong Lee;Jin Tae Kim
Affiliations:
Department of Mathematics, Chungbuk National University, Cheongju, Korea;Department of Mathematics, Chungbuk National University, Cheongju, Korea
Venue:
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Year:
2009

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Abstract

In this paper, we introduce the concepts of fuzzy strongly (r, s)-preopen sets and fuzzy strongly (r, s)- precontinuous mappings on intuitionistic fuzzy topological spaces in Šostak's sense. The relationships among fuzzy (r, s)- continuous, fuzzy strongly (r, s)-semicontinuous, fuzzy (r, s)- precontinuous and fuzzy strongly (r, s)-precontinuous mappings are discussed. The notions of a fuzzy strongly (r, s)- preinterior and a fuzzy strongly (r, s)-preclosure are given. Using these concepts, the characterizations for the fuzzy strongly (r, s)-precontinuous mappings are obtained.