International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Fuzzy strongly (r, s)-semicontinuous, fuzzy strongly (r, s)-semiopen and fuzzy strongly (r, s)-semiclosed mappings

  • Lee, Eun-Pyo (Department of Mathematics, Seonam University) ;
  • Kim, Seung-Hoon (Department of Pharmacology, College of Medicine, Seonam University)
  • Published : 2007.06.01
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Abstract

In this paper, we investigate some of characteristic properties of fuzzy strongly (r, s)-semicontinuous, fuzzy strongly (r, s )-semiopen and fuzzy strongly (r, s )-semiclosed mappings on the intuitionistic fuzzy topological space in \check{S}ostak's$ sense.

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References

  1. K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87-96 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. H. Gurcay, D. Coker and A. Haydar Es, On fuzzy continuity in intuitionistic fuzzy topological spaces, J. Fuzzy Math. 5 (1997), 365-378
  7. E. P. Lee, Semiopen sets on intuitionistic fuzzy topological spaces in Sostak's sense, J. Fuzzy Logic and Intelligent Systems 14 (2004), 234-238
  8. S. O. Lee and E. P. Lee, Fuzzy strongly (r, s)-semiopen sets, International J. Fuzzy Logic and Intelligent Systems 6 (2006), 299-303 https://doi.org/10.5391/IJFIS.2006.6.4.299
  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. P. Sostak, On a fuzzy topological structure, Suppl. Rend. Cire. Matem. Janos Palermo, Sr. II 11 (1985), 89-103
  11. L. A. Zadeh, Fuzzy sets, Information 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