International Journal of Fuzzy Logic and Intelligent Systems

  • 제8권2호
  • /
  • Pages.111-115
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  • 2008
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  • 1598-2645(pISSN)
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  • 2093-744X(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
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Fuzzy Weakly r-Semicontinuous Mappings

  • Lee, Seok-Jong (Department of Mathematics, Chungbuk National University) ;
  • Kim, Jin-Tae (Department of Mathematics, Chungbuk National University)
  • 발행 : 2008.06.01
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초록

By generalizing the definition of fuzzy weakly semicontinuous mappings by B. S. Zhong, we introduce the concept of fuzzy weakly r-semicontinuous mappings in fuzzy topology of Chattopadhyay. Then the concept introduced by B. S. Zhong becomes a special case of our definition. Also, we show that fuzzy weakly r-semicontinuity and fuzzy weakly r-continuity are independent notions.

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참고문헌

  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. Z. Bai, "Fuzzy weak semicontinuity," Fuzzy Sets and Systems, vol. 47, no. 1, pp. 93-98, 1992 https://doi.org/10.1016/0165-0114(92)90064-B
  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. R. N. Hazra, S. K. Samanta, and K. C. Chattopadhyay, "Fuzzy topology redefined," Fuzzy Sets and Systems, vol. 45, no. 1, pp. 79-82, 1992 https://doi.org/10.1016/0165-0114(92)90093-J
  5. S. J. Lee and E. P. Lee, "Fuzzy r-continuous and fuzzy r-semicontinuous maps," Int. J. Math. Math. Sci., vol. 27, no. 1, pp. 53-63, 2001 https://doi.org/10.1155/S0161171201010882
  6. S. J. Lee and E. P. Lee, "Fuzzy r-regular open sets and fuzzy almost r-continuous maps," Bull. Korean Math. Soc., vol. 39, no. 3, pp. 441-453, 2002 https://doi.org/10.4134/BKMS.2002.39.3.441
  7. E. P. Lee, Various kinds of continuity in fuzzy topological spaces. PhD thesis, Chungbuk National University, 1998