International Journal of Fuzzy Logic and Intelligent Systems

  • 제11권3호
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  • Pages.190-196
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  • 2011
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  • 1598-2645(pISSN)
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  • 2093-744X(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
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Properties of fuzzy (r, s)-semi-irresolute Mappings in Intuitionistic Fuzzy Topological Spaces

  • Lee, Seok-Jong (Department of Mathematics, Chungbuk National University) ;
  • Kim, Jin-Tae (Department of Mathematics, Chungbuk National University)
  • 투고 : 2011.05.30
  • 심사 : 2011.07.25
  • 발행 : 2011.09.25
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초록

In this paper, we introduce the concept of fuzzy (r, s)-semi-irresolute mappings on intuitionistic fuzzy topological spaces in Sostak's sense, which is a generalization of the concept of fuzzy semi-irresolute mappings introduced by S. Malakar. The characterizations for the fuzzy (r, s)-semi-irresolute mappings are obtained by terms of semi-interior, semi-${\theta}$-interior, semi-clopen, and regular semi-open.

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참고문헌

  1. L. A. Zadeh, "Fuzzy sets," Information and Control, vol. 8, pp. 338-353, 1965. https://doi.org/10.1016/S0019-9958(65)90241-X
  2. 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
  3. A. P. Sostak, "On a fuzzy topological structure," Suppl. Rend. Circ. Matem. Janos Palermo, Sr. II, vol. 11, pp. 89-103, 1985.
  4. 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
  5. A. A. Ramadan, "Smooth topological spaces," Fuzzy Sets and Systems, vol. 48, pp. 371-375, 1992. https://doi.org/10.1016/0165-0114(92)90352-5
  6. K. T. Atanassov, "Intuitionistic fuzzy sets," Fuzzy Sets and Systems, vol. 20, pp. 87-96, 1986. https://doi.org/10.1016/S0165-0114(86)80034-3
  7. D. Coker, "An introduction to intuitionistic fuzzy topological spaces," Fuzzy Sets and Systems, vol. 88, pp. 81-89, 1997. https://doi.org/10.1016/S0165-0114(96)00076-0
  8. H. Gurcay, D. Coker, and A. H. Es, "On fuzzy continuity in intuitionistic fuzzy topological spaces," J. Fuzzy Math., vol. 5, pp. 365-378, 1997.
  9. D. Coker and M. Demirci, "An introduction to intuitionistic fuzzy topological spaces in Sostak's sense," BUSEFAL, vol. 67, pp. 67-76, 1996.
  10. S. Malakar, "On fuzzy semi-irresolute and strongly irresolute functions," Fuzzy Sets and Systems, vol. 45, pp. 239-244, 1992. https://doi.org/10.1016/0165-0114(92)90124-M
  11. S. H. Cho and J. K. Park, "A note on fuzzy semiirresolute and strongly irresolute functions," Commun. Korean math. Soc., vol. 18, no. 2, pp. 355-366, 2003. https://doi.org/10.4134/CKMS.2003.18.2.355
  12. E. P. Lee and S. H. Kim, "Fuzzy strongly (r, s)- semicontinuous, fuzzy strongly (r, s)-semiopen, fuzzy strongly (r, s)-semiclosed mappings," International Journal of Fuzzy Logic and Intelligent Systems, vol. 7, no. 2, pp. 120-126, 2007. https://doi.org/10.5391/IJFIS.2007.7.2.120
  13. D. Coker and M. Demirci, "On intuitionistic fuzzy points," Notes IFS, vol. 1, no. 2, pp. 79-84, 1995.
  14. I. M. Hanafy, "On fuzzy ${\gamma}-open$ sets and fuzzy ${\gamma}-continuity$ in intuitionistic fuzzy topological spaces," J. Fuzzy Math., vol. 10, no. 1, pp. 9-19, 2002.
  15. E. P. Lee, "Semiopen sets on intuitionistic fuzzy topological spaces in Sostak's sense," J. Fuzzy Logic and Intelligent Systems, vol. 14, pp. 234-238, 2004. https://doi.org/10.5391/JKIIS.2004.14.2.234
  16. S. O. Lee and E. P. Lee, "Fuzzy strongly (r, s)- semiopen sets," Int. J. Math. Math. Sci., vol. 6, no. 4, pp. 299-303, 2006.

피인용 문헌

  1. THE PRESERVATION THEOREMS OF FUZZY (r, s)-SEMI-IRRESOLUTE MAPPINGS vol.28, pp.1, 2015, https://doi.org/10.14403/jcms.2015.28.1.139