Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
권호 표지
DOI QR코드

DOI QR Code

Fuzzy r-Generalized Open Sets and Fuzzy r-Generalized Continuity

퍼지 r-일반 열린 집합과 퍼지 r-일반 연속성에 관한 연구

  • Received : 2009.07.12
  • Accepted : 2009.10.01
  • Published : 2009.10.25
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we introduce the concept of fuzzy r-generalized open sets which are generalizations of fuzzy r-open sets defined by Lee and Lee [2] and obtain some basic properties of their structures. Also we introduce and study the concepts of fuzzy r-generalized continuous mapping, fuzzy r-generalized open mapping and fuzzy r-generalized closed mapping.

본 논문에서는 퍼지 r-열린 집합을 일반화 시킨 퍼지 r-일반 열린 집합의 개념과 성질을 소개한다. 그리고 퍼지 r-일반 연속함수, 퍼지 r-일반 열린함수, 퍼지 r-일반 닫힌 함수의 개념과 특성을 연구한다.

Keywords

References

  1. C. L. Chang, 'Fuzzy topological spaces', J. Math. Anal. Appl., Vol. 24, pp. 182-190, 1968 https://doi.org/10.1016/0022-247X(68)90057-7
  2. S. J. Lee and E. P. Lee, 'Fuzzy $\gamma$-continuous and $\gamma$-semicontinuous maps', Int. J. Math. Math. Sci., vol. 27, no. 1, pp. 53-63, 2001 https://doi.org/10.1155/S0161171201010882
  3. W. K. Min, 'Fuzzy generalized topological spaces', J. Fuzzy Logic and Intelligent Systems, vol 19, no. 3, pp. 404-407, 2009
  4. A. A. Ramadan, 'Smooth topological spaces', Fuzzy Sets and Systems, vol. 48, pp. 371-375, 1992 https://doi.org/10.1016/0165-0114(92)90352-5
  5. L. A. Zadeh, 'Fuzzy sets', Inform. and Control, vol. 8, pp. 338-353, 1965 https://doi.org/10.1016/S0019-9958(65)90241-X