Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지
DOI QR코드

DOI QR Code

MORE ON FUZZY MAXIMAL, MINIMAL OPEN AND CLOSED SETS

  • SWAMINATHAN, A. (Department of Mathematics, Government Arts College(Autonomous)) ;
  • SIVARAJA, S. (Department of Mathematics, Annamalai University)
  • 투고 : 2020.09.03
  • 심사 : 2021.02.12
  • 발행 : 2021.05.30
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

This article is devoted to introduce the notion of fuzzy cleanly covered fuzzy topological spaces; in addition two strong fuzzy separation axioms are studied. By means of fuzzy maximal open sets some properties of fuzzy cleanly covered fuzzy topological spaces are obtained and also by means of fuzzy maximal closed sets few identical results of a fuzzy topological spaces are investigated. Through fuzzy minimal open and fuzzy maximal closed sets, two strong fuzzy separation axioms are discussed.

키워드

참고문헌

  1. Ajoy Mukherjee, More on maximal minimal open and closed sets, Commun. Korean Math. Soc. 1 (2017), 175-181. https://doi.org/10.4134/CKMS.c150241
  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. B.M. Ittanagi and R.S. Wali, On fuzzy minimal open and fuzzy maximal open sets in fuzzy topological spaces, International J. of Mathematical Sciences and Application 1 (2011), 1023-1037.
  4. F. Nakaoka and N. Oda, Some Properties of Maximal Open Sets, International Journal of Mathematics and Mathematical Sciences 21 (2003), 1331-1340.
  5. F. Nakaoka and N. Oda, Minimal closed sets and maximal closed sets, International Journal of Mathematics and Mathematical Sciences 2006 (2006), 1-8.
  6. P.M. Pu and Y.M. Liu, Fuzzy topology I. Neighbourhood structure of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl. 76 (1980), 571-599. https://doi.org/10.1016/0022-247x(80)90048-7
  7. A. Swaminathan and S. Sivaraja, On fuzzy maximal, minimal open and closed sets, Advances in Mathematics: Scientific Journal 9 (2020), 7741-7747. https://doi.org/10.37418/amsj.9.10.5
  8. L.A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X