Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
권호 표지

FUZZY WEAKLY (r, s)-SEMICONTINUOUS MAPPINGS

  • Kim, Jin Tae (Department of Mathematics Chungbuk National University) ;
  • Lee, Seok Jong (Department of Mathematics Chungbuk National University)
  • Received : 2009.03.06
  • Accepted : 2009.05.15
  • Published : 2009.06.30
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we introduce the concept of fuzzy weakly (r,s)-semicontinuous mappings on intuitionistic fuzzy topological spaces in Sostak's sense. The relations among various kinds of fuzzy mappings on intuitionistic fuzzy topological spaces in $\check{S}ostak^{\prime}s$ sense are displayed. The characterization for the fuzzy weakly (r,s)-semicontinuous mapping is obtained. Also, we introduce the notion of fuzzy weakly (r,s)-semicontinuous mappings at a given intuitionistic fuzzy point. The relation between fuzzy weakly (r,s)- semicontinuous mappings and fuzzy weakly (r,s)-semicontinuous mappings at an intuitionistic fuzzy point is discussed.

Keywords

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. Shi Zhong Bai, Fuzzy weak semicontinuity, Fuzzy Sets and Systems 47 (1992), no. 1, 93-98. https://doi.org/10.1016/0165-0114(92)90064-B
  3. C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182-190. https://doi.org/10.1016/0022-247X(68)90057-7
  4. 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
  5. 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
  6. D. Coker and M. Demirci, An introduction to intuitionistic fuzzy topological spaces in Sostak's sense, BUSEFAL 67 (1996), 67-76.
  7. H. Gurcay and D. Coker and A. Haydar Es, On fuzzy continuity in intuitionistic fuzzy topological spaces, J. Fuzzy Math. 5 (1997), 365-378.
  8. Eun Pyo Lee, Semiopen sets on intuitionistic fuzzy topological spaces in Sostak's sense, J. Fuzzy Logic and Intelligent Systems 14 (2004), 234-238.
  9. Seok Jong Lee and Jin Tae Kim, Fuzzy (r, s)-irresolute maps, International Journal of Fuzzy Logic and Intelligent Systems 7 (2007), no. 1, 49-57. https://doi.org/10.5391/IJFIS.2007.7.1.049
  10. Seok Jong Lee and Eun Pyo Lee, Fuzzy (r, s)-semicontinuous mappings on intuitionistic fuzzy topological spaces in Sostak's sense, J. Fuzzy Logic and Intelligent Systems 16 (2006), 108-112. https://doi.org/10.5391/JKIIS.2006.16.1.108
  11. A. A. Ramadan, Smooth topological spaces, Fuzzy Sets and Systems 48 (1992), 371-375. https://doi.org/10.1016/0165-0114(92)90352-5
  12. A. P. Sostak, On a fuzzy topological structure, Suppl. Rend. Circ. Matem. Janos Palermo, Sr. II 11 (1985), 89-103.
  13. L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X