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Fuzzifying proximity and strong fuzzifying uniformity

ملخص البحث

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.

مؤلف البحث
F. H. Khedr, K. M. Abd El-Hakeim, F. M. Zeyada and O. R. Sayed
قسم البحث
مستند البحث
مجلة البحث
Soochow Journal of Mathematics
مؤلف البحث
صفحات البحث
83-92
عدد البحث
29 (1)
سنة البحث
2003