Fuzzy closure spaces and fuzzy quasi-proximity spaces

  • Lee, Jong-Wan (Department of mathematics Kangnung National University)
  • 발행 : 1999.10.01

초록

We will define a fuzzy quasi-proximity space and give some examples of it. We show that the family M(X, C) of all fuzzy quasi-proximities on X which induce C is nonempty. Moreover we will study the relationship between the category of fuzzy closure spaces and that of fuzzy quasi-proximity spaces.

키워드

참고문헌

  1. Abstract and Concrete Categories J. Adamek;H. Herrlich;G.E. Strecker
  2. J. Math. Anal. Appl. v.24 Fuzzy topological space C.L. Chang
  3. Fuzzy Sets and Systems v.277 Topological modification of fuzzy closure-spaces M.H. Chanim;F.S. Al Sirehy
  4. Fuzzy Sets and Systems v.27 Regularity axioms in fuzzy topological spaces $FR_i$-proximities A. Kandil;M.E. El Shafee
  5. J. Math. Anal. Appl. v.75 On fuzzy proximity spaces A.K. Katsaras
  6. Fuzzy Sets and Systems v.27 Fuzzy quasi-proximities and fuzzy quasi-uniformities A.K. Katsaras;C.G. Petals
  7. Fuzzy Sets and Systems v.90 A relationship between classical and fuzzy proximities M. Khare
  8. Fuzzy topology Liu Ying Ming;Luo Mao Kang
  9. J. Math. Anal. Appl. v.106 Fuzzy closure spaces A.S. Mashhour;M.H. Ghanim