in the present paper, we rst modify the concepts of weakly fuzzy boundedness, strongly fuzzy boundedness, fuzzy continuity, strongly fuzzy continuity and weakly fuzzy continuity. then, we try to nd some relations by making a comparative study of the fuzzy norms of linear operators.

The papers [21], [8], [23], [25], [24], [5], [7], [6], [19], [4], [1], [2], [18], [10], [22], [13], [3], [20], [16], [15], [9], [12], [11], [14], and [17] provide the terminology and notation for this paper. Let X be a non empty set and let f , g be elements of X . Then g · f is an element of X . One can prove the following propositions: (1) Let X, Y , Z be real linear spaces, f be a linear ope...

Let X be a set, let Y be a non empty set, let F be a function from [: R, Y :] into Y , let a be a real number, and let f be a function from X into Y . Then F ◦(a, f) is an element of Y X . One can prove the following propositions: (1) Let X be a non empty set and Y be a non empty loop structure. Then there exists a binary operation A1 on (the carrier of Y ) X such that for all elements f , g of...