FUZZY BASIS OF FUZZY HYPERVECTOR SPACES

Abstract

The aim of this paper is the study of fuzzy basis and dimension<br />of fuzzy hypervector spaces. In this regard, first the notions of fuzzy linear<br />independence and fuzzy basis are introduced and then some related results are<br />obtained. In particular, it is shown that for a large class of fuzzy hypervector<br />space the fuzzy basis exist. Finally, dimension of a fuzzy hypervector space is<br />defined and the basic properties of that are investigated.