Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Fuzzy Quasi Topological Spaces

퍼지 준-위상 공간에 관한 연구

  • Received : 2010.03.02
  • Accepted : 2010.10.25
  • Published : 2010.12.25
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Abstract

In this paper, we introduce the concept of fuzzy quasi topologies which are generalizations of smooth topologies and Chang's fuzzy topologies, and obtain some basic properties of their structures.

본 논문에서는 smooth topology 와 Chang's fuzzy topology의 개념을 일반화시킨 fuzzy quasi topology의 개념을 소개한다. 그리고 퍼지 준-위상의 일반적인 위상적 성질들을 조사한다.

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References

  1. R. Badard, “Smooth axiomatics”, First IFSA Congress, Palma de Mallorca, July 1986.
  2. 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
  3. 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
  4. L. A. Zadeh, "Fuzzy sets", Inform. and Control,Vol. 8, pp. 338-353, 1965. https://doi.org/10.1016/S0019-9958(65)90241-X