International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Fuzzy (r, s)-preopen sets

  • Lee, Seung-On (Department of Mathematics, Chungbuk National University) ;
  • Lee, Eun-Pyo (Department of Mathematics, Seonam University)
  • Published : 2005.06.01
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Abstract

In this paper, we introduce the concepts of fuzzy (r,s)-preopen sets and fuzzy (r,s)-precontinuous mappings on intuitionistic fuzzy topological spaces in Sostak's sense and then we investigate some of their characteristic properties.

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References

  1. K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87-90 https://doi.org/10.1016/S0165-0114(86)80034-3
  2. C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182-190 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 49 (1992), 237-242 https://doi.org/10.1016/0165-0114(92)90329-3
  4. D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems 88 (1997), 81-89 https://doi.org/10.1016/S0165-0114(96)00076-0
  5. D. Coker and M. Demirci, An introduction to intuitionistic fuzzy topological spaces in Sostak's sense, BUSEFAL 67 (1996), 67-76
  6. D. Coker and A. Haydar Es, On fuzzy compactness in intuitionistic fuzzy topological spaces, J. Fuzzy Math. 3 (1995), 899-909
  7. H. Gurcay, D. Coker and A. Haydar Es, On fuzzy continuity in intuitionistic fuzzy topological spaces, J. Fuzzy Math. 5 (1997), 365-378
  8. E. P. Lee, Semiopen sets on intuitionistic fuzzy topological spaces in Sostack's sense, J. of Fuzzy Logic and Intelligent Systems 14 (2004), 234-238
  9. A. A. Ramadan, Smooth topological spaces, Fuzzy Sets and Systems 48 (1992), 371-375 https://doi.org/10.1016/0165-0114(92)90352-5
  10. A. Sostak, On a fuzzy topological structure, Supp. Rend. Circ. Mat. Palermo (Ser. II) 11 (1985), 89-103
  11. L. A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965), 338-353 https://doi.org/10.1016/S0019-9958(65)90241-X

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  2. FUZZY α-WEAKLY (r, s)-CONTINUOUS MAPPINGS vol.31, pp.1, 2009, https://doi.org/10.5831/HMJ.2009.31.1.097
  3. FUZZY STRONGLY (r, s)-PREOPEN AND PRECLOSED MAPPINGS vol.26, pp.4, 2011, https://doi.org/10.4134/CKMS.2011.26.4.661