Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
권호 표지
DOI QR코드

DOI QR Code

THE PRESERVATION THEOREMS OF FUZZY (r, s)-SEMI-IRRESOLUTE MAPPINGS

  • Kim, Jin Tae (Department of Mathematics Chungbuk National University) ;
  • Lee, Seok Jong (Department of Mathematics Chungbuk National University)
  • Received : 2014.11.26
  • Accepted : 2015.01.27
  • Published : 2015.02.15
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we prove that (r, s)-semi-irresolute image of the (r, s)-semi-${\theta}$-connected set is also (r, s)-semi-${\theta}$-connected. Moreover, we prove that an (r, s)-semi-irresolute mapping preserves (r; s)-$S^*$-closedness.

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. 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. Seong Hoon Cho and Jae Keun Park, A note on fuzzy semi-irresolute and strongly irresolute functions, Commun. Korean math. Soc. 18 (2003), no. 2, 355-366. https://doi.org/10.4134/CKMS.2003.18.2.355
  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. Eun Pyo Lee, Semiopen sets on intuitionistic fuzzy topological spaces in Sostak's sense, J. Fuzzy Logic and Intelligent Systems 14 (2004), 234-238.
  8. Seok Jong Lee and Jin Tae Kim, Properties of fuzzy (r, s)-semi-irresolute mappings in intuitionistic fuzzy topological spaces, International Journal of Fuzzy Logic and Intelligent Systems 11 (2011), no. 3, 190-196. https://doi.org/10.5391/IJFIS.2011.11.3.190
  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. S. Malakar, On fuzzy semi-irresolute and strongly irresolute functions, Fuzzy Sets and Systems 45 (1992), 239-244. https://doi.org/10.1016/0165-0114(92)90124-M
  12. A. A. Ramadan, Smooth topological spaces, Fuzzy Sets and Systems 48 (1992), 371-375. https://doi.org/10.1016/0165-0114(92)90352-5
  13. A. P. Sostak, On a fuzzy topological structure, Suppl. Rend. Circ. Matem. Janos Palermo, Sr. II 11 (1985), 89-103.
  14. L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X