Fuzzy frame on fuzzy Felbin Hilbert spaces

In this paper, we de ne fuzzy frame on fuzzy Felbin Hilbert spaces. For showing the importanceof de ning fuzzy frame, we know that in the classical Hilbert space, C() is not normable but in thismanuscript, we prove that C() (the vector space of all continuous functions on ) is normable in fuzzyFelbin Hilbert space and so the de ning fuzzy frame on C() is possible. This consequences of thecategory of fuzzy frames in fuzzy Felbin Hilbert spaces is wider than the category of the frames in theclassical Hilbert spaces.

Keywords:

Fuzzy frame , Fuzzy norm , Fuzzy Felbin normed linear spacses