Fuzzy quasi-uniform bases

  • Kim, Young-Sum (Department of Applied Mathematics Pai Chai University)
  • 발행 : 1999.08.01

초록

We will define a base of a fuzzy (quasi-)uniform space and investigate some properties. of bases. In particular for the family ${{\beta}i}_{i{\epsilon}} of fuzzy$ (quasi-)uniform bases on X there exists the coarsest fuzzy (quasi-) uniformity on X which is finer than fuzzy (quasi-)uniform ${\Phi}_{{\beta}i} generated by {\beta}_i for each i{\epsilon}{\Gamma}.$

키워드

참고문헌

  1. Fuzzy Sets and Systems v.59 Smooth preuniform and preproximity press R. Badard;A.A. Ramadan;A.S. Mashhour
  2. Fuzzy Sets and Systems v.79 Gradations of uniformity and gradation of proximity M.H. Ghanim;O.A. Tantawy;F.M. Selim
  3. J. Math Anal. Appl. v.58 Uniformities on fuzzy topological spaces B. Hutton
  4. Fuzzy Sets and Systems v.27 Fuzzy quasi-proximities and fuzzy quasi-uniformities A.K. Katsaras
  5. Kangweon-Kyungki Math. Jour v.5 no.2 Some properties of fuzzy quasi-uniform spaces Y.C. Kim;S.J. Lee
  6. Fuzzy Sets and Systems v.70 Fuzzy proximities and fuzzy uniformities S.K. Samanta