Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Fuzzy r-Generalized Almost Continuity on Fuzzy Generalized Topological Spaces

퍼지 일반화된 위상 공간에서 FUZZY r-GENERALIZED ALMOST CONTINUITY에 관한 연구

  • Received : 2009.12.26
  • Accepted : 2010.03.26
  • Published : 2010.04.25
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Abstract

In this paper, we introduce the concept of fuzzy r-generalized almost continuous mapping and obtain some characterizations of such a mapping. In particular, we investigate characterizations for the fuzzy r-generalized almost continuity by using the concept of fuzzy r-generalized regular open sets.

본 논문에서는 fuzzy r-generalized almost continuity의 개념과 특성을 연구한다. 특히 fuzzy r-generalized regular open sets를 이용하여 fuzzy r-generalized almost continuity의 특성을 밝힌다.

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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 r-continuous and r-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. https://doi.org/10.5391/JKIIS.2009.19.3.404
  4. W. K. Min, "Fuzzy r-generalized open sets and fuzzy r-generalized continuity", J. Fuzzy Logic and Intelligent Systems, vol. 19, no. 5, pp. 695-698. https://doi.org/10.5391/JKIIS.2009.19.5.695
  5. 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
  6. L. A. Zadeh, "Fuzzy sets", Inform. and Control, vol. 8, pp. 338-353, 1965. https://doi.org/10.1016/S0019-9958(65)90241-X