الفهرس 
ملخص العربىOnly 14 pages are availabe for public view
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Abstract
Some type of operations on topologies is introduced and by make use of concepts induced by these operations many characterizations and properties of similar topological concepts are unified and generalized.
But there exists a failure of these operations to include other similar concepts.that failure comples us to research to solve suck problem.
This thesis is devoted to introduce and study types of operations on p (x) (I x) of a topological (fuzzy topological (8))space (x,t) .by make use of operatins on p(x0. we succeed to unify mor concepts than kasahara operations (24) do . For this purpose we introduced concepts induced.
Also, of our interest in this thesis, some operations on I x for a fuzzy topological space (x,t) (8) are considered and by make use of them we introduced some extensions of regular closed functions (30), irresolute functios (9) and S-closed spaces (52) in fuzzy setting.