Local stability of the Pexiderized Cauchy and Jensen's equations in fuzzy spaces

Lex X be a normed space and Y be a Banach fuzzy space. Let D = {( x, y) is an element of X x X : parallel to x parallel to + parallel to y parallel to >= d} where d > 0. We prove that the Pexiderized Jensen functional equation is stable in the fuzzy norm for functions defined on D and taking values in Y. We consider also the Pexiderized Cauchy functional equation.