한국지능시스템학회:학술대회논문집 (Proceedings of the Korean Institute of Intelligent Systems Conference)

한국지능시스템학회 (Korean Institute of Intelligent Systems)
권호 표지

퍼지 (r, s)-semi-preopen 집합과 퍼지 (r, s)-semi-precontinuous 함수

Fuzzy (r, s)-semi-preopen sets and fuzzy (r, s)-semi-precontinuous maps

  • 이석종 (충북대학교 자연과학대학 수학과) ;
  • 김진태 (충북대학교 자연과학대학 수학과)
  • 발행 : 2007.04.20
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초록

In this paper, we introduce the concepts of fuzzy (r, s)-semi-preopen sets and fuzzy (r, s)-semi-precontinuous maps on intuitionistic fuzzy topological spaces in Sostak's sense. The relations among fuzzy (r, s)-semicontinuous, fuzzy (r, s)-precontinuous, and fuzzy (r, s)-semi-precontinuous maps are discussed. The concepts of fuzzy (r, s)-semi-preinterior, fuzzy (r, s)-semi-preclosure, fuzzy (r, s)-semi-preneighborhood, and fuzzy (r, s)-quasi-semi-preneighborhood are given. Using these concepts, the characterization for the fuzzy (r, s)-semi-precontinuous map is obtained. Also, we introduce the notions of fuzzy (r, s)-semi-preopen and fuzzy (r, s)-semi-preclosed maps on intuitionistic fuzzy topological spaces in Sostak's sense, and then we investigate some of their characteristic properties.

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