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Fuzzifying proximity and strong fuzzifying uniformity

Research Authors
F. H. Khedr, K. M. Abd El-Hakeim, F. M. Zeyada and O. R. Sayed
Research Abstract

We introduce the concept of a fuzzifying proximity and study some properties of fuzzifying proximities - in particular we show how a fuzzifying proximity on
a set X naturally induces a fuzzifying topology on the same set. Besides, the concept of a strong fuzzifying uniformity (which is a certain modification of Ying’s concept of a fuzzifying uniformity ([4])) is introduced. Some relations between fuzzifying proximities, strong fuzzifying uniformities and corresponding fuzzifying topologies are established. In particular, we show that the fuzzifying topology induced by the fuzzifying proximity and the fuzzifying topology induced by the strong fuzzifying uniformity are coincide.

Research Department
Research Journal
Soochow Journal of Mathematics
Research Member
Research Vol
29 (1)
Research Year
2003
Research Pages
83-92