International Journal of Fuzzy Logic and Intelligent Systems

  • 제11권1호
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  • Pages.44-48
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  • 2011
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  • 1598-2645(pISSN)
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  • 2093-744X(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
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On Fuzzy Almost r-minimal Continuous Functions between Fuzzy Minimal Spaces and Fuzzy Topological Spaces

  • Min, Won-Keun (Department of Mathematics, Kangwon National University)
  • 투고 : 2010.10.16
  • 심사 : 2010.12.26
  • 발행 : 2011.03.25
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초록

The purpose of this paper is to introduce and investigate the concept of fuzzy almost r-minimal continuous function between fuzzy minimal spaces and fuzzy topological spaces. Particularly, we investigate characterizations for the fuzzy almost r-minimal continuity by using generalized fuzzy r-open sets.

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참고문헌

  1. S. E. Abbas, ”Fuzzy $\beta$-irresolute functions”, Applied Mathematics and Computation, vol. 157, pp. 369–380, 2004. https://doi.org/10.1016/j.amc.2003.08.040
  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. K. C. Chattopadhyay, R. N. Hazra, and S. K. Samanta, ”Gradation of openness : Fuzzy topology”, Fuzzy Sets and Systems, vol. 49, pp. 237–242, 1992. https://doi.org/10.1016/0165-0114(92)90329-3
  4. Y. C. Kim and S. E. Addas. ”On Several Types of Rfuzzy Compactness”, The Journal of Fuzzy Mathematics, vol. 12, no. 4, pp. 827-844, 2004.
  5. S. J. Lee and E. P. Lee, ”Fuzzy r-preopen and fuzzy rprecontinuous maps”, Bull. Korean Math. Soc., vol. 36, pp. 91–108, 1999.
  6. S. J. Lee and E. P. Lee, ”Fuzzy r-continuous and fuzzy rsemicontinuous maps”, Int. J. Math. Math. Sci., vol. 27, pp. 53–63, 2001. https://doi.org/10.1155/S0161171201010882
  7. S. J. Lee and E. P. Lee, ”Fuzzy r-regular open sets and fuzzy almost r-continuous maps”, Bull. Korean Math. Soc., vol. 39, pp. 91–108, 2002. https://doi.org/10.4134/JKMS.2002.39.1.091
  8. W. K. Min, ”Fuzzy r-minimal Continuous Functions Between Fuzzy Minimal Spaces and Fuzzy Topological Spaces”, Inter. J. of Fuzzy Logic and IntelligentSystems, vol. 10, no. 2, pp. 124-127, 2010. https://doi.org/10.5391/IJFIS.2010.10.2.124
  9. W. K. Min, ”Fuzzy Weakly r-minimal Continuous Functions Between Fuzzy Minimal Spaces and Fuzzy Topological Spaces”, Inter. J. of Fuzzy Logic and Intelligent Systems, accepted.
  10. 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
  11. Y. H. Yoo, W. K. Min and J. I. Kim. ”Fuzzy r-Minimal Structures and Fuzzy r-Minimal Spaces”, Far East Journal of Mathematical Sciences, vol. 33, no. 2, pp. 193-205, 2009.
  12. Y. H. Yoo, W. K. Min and J. I. Kim. ”Fuzzy r-compactness on fuzzy r-minimal spaces”, Inter. J. Fuzzy Logic and Intelligent Systems, Inter. J. of Fuzzy Logic and Intelligent Systems, vol. 9, no. 4, pp. 281-284, 2009. https://doi.org/10.5391/IJFIS.2009.9.4.281
  13. L. A. Zadeh, ”Fuzzy sets”, Information and Control, vol. 8, pp. 338–353, 1965. https://doi.org/10.1016/S0019-9958(65)90241-X