General topologists have carried out most varied experimentations in search for applicable and suitable axiom systems. Proximity spaces in the generalized subset theory has been a popular topic in recent years, in the present paper, it is shown that every symmetric relation on I~x induces an F-Cech closure operator on X. While defining O_0(Φ,f) and 0(Φ,f), k and tproximities are introduced using symmetric relations on I~x and further it is shown that the proximities defined belong to the classes A_0 and A_1. The set of all k-proximities is contained in the set of all t-proximities defined onI~x.
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