Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
권호 표지
DOI QR코드

DOI QR Code

Fuzzy semi-topogenous orders and fuzzy supra topologies

  • Kim, Yong-Chan (Department of Mathematics, Kangnung National University) ;
  • Ko, Jung-Mi (Department of Mathematics, Kangnung National University)
  • Published : 2003.06.01
Download PDF
⟨ Previous Next ⟩

Abstract

We investigate the properties of fuzzy (semi-)topogenous orders in the framework of fuzzy (supra) topologies and fuzzy (supra) interior operators. We study the relationship between fuzzy (semi-)topogenous structures, fuzzy (supra)topologies and fuzzy (supra)interior operators.

Keywords

References

  1. M. Abd EI-Monsef and A.E. Ramadan," On fuzzy supra topological spaces", Indian J. Pure Appl. Math.., vol 28(4) pp322-329, 1987
  2. C.L. Chang," Fuzzy topological spaces", J. Math Anal. Appl. vol 24, pp182-190, 1968. https://doi.org/10.1016/0022-247X(68)90057-7
  3. A Csaszar, Foundations of General topology, Pergamon Press, 1963.
  4. A.K. Katsaras," On fuzzy proximity spaces", J. Math Anal. Appl., vol 75, 571-583,1980 https://doi.org/10.1016/0022-247X(80)90102-X
  5. A.K. Katsaras, "Fuzzy proximity spaces," J. Math Anal. Appl. vol 68,pp100-110. 1979 https://doi.org/10.1016/0022-247X(79)90102-1
  6. A.K. Katsaras, "Totally bounded fuzzy syntopogenous structures", Fuzzy Sets and System, vol 28, pp 91-105,1988. https://doi.org/10.1016/0165-0114(88)90119-4
  7. A.K. Katsaras," Fuzzy syntopogenous structures compatible with Lowen fuzzy uniformities and Artico-Moresco fuzzy proximities", Fuzzy Sets and Systems vol 36, pp 375-393,1990 https://doi.org/10.1016/0165-0114(90)90110-R
  8. A.K. Katsaras,"Operations on fuzzy syntopogenous structures", Fuzzy Sets and Systems, vol 43, pp 199--217,1991. https://doi.org/10.1016/0165-0114(91)90078-5
  9. A.K. Katsaras, "Fuzzy quasi-proximities and fuzzy quasi-uniformities", Fuzzy Sets and Systems vol 27, pp 335-343, 1988. https://doi.org/10.1016/0165-0114(88)90059-0
  10. A.K. Katsaras and C.G. Petalas, "A unified theory of fuzzy topologies, fuzzy proximities and fuzzy uniformities", Rev.Roum Math. Pures Appl vol 28(9), pp 845-856, 1983.
  11. A.K. Katsaras and C.G. Petalas," On fuzzy syntopogenous structures" J. Math Anal. Appl. vol 99(1) pp 219--236,1984. https://doi.org/10.1016/0022-247X(84)90244-0