본문 바로가기
KERD
논문KCI 등재

Fuzzy strongly (r, s)-preopen and preclosed mappings

0

조회

0

다운로드

1

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, we introduce the notions of fuzzy strongly (r,s)-preopen and preclosed mappings on intuitionistic fuzzy topological spaces in (특수문자)ostak's sense. The relationships among fuzzy (r, s)-open, fuzzy strongly (r, s)-semiopen, fuzzy (r,s)-preopen, and fuzzy strongly (r, s)-preopen mappings are discussed. The characterizations for the fuzzy strongly (r, s)-preopen and preclosed mappings are obtained.

Abstract

In this paper, we introduce the notions of fuzzy strongly (r,s)-preopen and preclosed mappings on intuitionistic fuzzy topological spaces in (특수문자)ostak's sense. The relationships among fuzzy (r, s)-open, fuzzy strongly (r, s)-semiopen, fuzzy (r,s)-preopen, and fuzzy strongly (r, s)-preopen mappings are discussed. The characterizations for the fuzzy strongly (r, s)-preopen and preclosed mappings are obtained.

참고문헌 (16)

  1. K. T. Atanassov, "Intuitionistic fuzzy sets", Fuzzy Sets and Systems, 20(1), pp.87~96 (1986)
  2. C. L. Chang, "Fuzzy topological spaces", J. Math. Anal. Appl, 24, pp.182~190 (1968)
  3. K. C. Chattopadhyay, "Gradation of openness: fuzzy topology", Fuzzy Sets and Systems, 49(2), pp.237~242 (1992)
  4. D. C oker, "An introduction to intuitionistic fuzzy topological spaces", Fuzzy Sets and Systems, 88(1), pp.81~89 (1997)
  5. D. C oker, "An introduction to intuitionistic fuzzy topological spaces in Sostak's sense", BUSEFAL, 67, pp.67~76 (1996)
  6. H. Gurcay, "On fuzzy continuity in intuitionistic fuzzy topological spaces", J. Fuzzy Math, 5(2), pp.365~378 (1997)
  7. Y. C. Kim, "r-fuzzy strongly preopen sets in fuzzy topological spaces", Mat. Vesnik, 55(1), pp.1~13 (2003)
  8. B. Krsteska, "Fuzzy strongly preopen sets and fuzzy strong precontinuity", Mat. Vesnik, 50(3), pp.111~123 (1998)
  9. 이은표, "Semiopen sets on intuitionistic fuzzy topological spaces in Sostak's sens", 한국지능시스템학회 논문지, 14(2), pp.234~238 (2004), 한국지능시스템학회
  10. S. J. Lee, "Fuzzy strongly (r; )-precontinuous mappings", IEEE International Conference on Fuzzy Systems, pp.581~586 (2009)
  11. 이석종, "Fuzzy (r;s)-semicontinuous mappings on the intuitionistic fuzzy topological spaces in sostak's sense", 한국지능시스템학회 논문지, 16(1), pp.108~112 (2006), 한국지능시스템학회
  12. 이승온, "fuzzy(r)-preopen sets", International Journal of Fuzzy Logic and Intelligent systems, 5(2), pp.136~139 (2005), 한국지능시스템학회
  13. 이은표, "Fuzzy strongly (r,s)-semiopen sets", International Journal of Fuzzy Logic and Intelligent systems, 6(4), pp.299~303 (2006), 한국지능시스템학회
  14. A. A. Ramadan, "Smooth topological spaces", Fuzzy Sets and Systems, 48(3), pp.371~375 (1992)
  15. A. P. Sostak, "On a fuzzy topological structure, Rend. Circ", Rend. Circ. Mat. Palermo, 11(2), pp.89~103 (1985)
  16. L. A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)

관련 논문AI추천

이 간행물의 다른 논문 (16건)