Reza Ameri - School of Mathematics, Statistics and Computer Science, College of Sciences, University of Tehran, Tehran, Iran
omid reza dehghan - Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, Babolsar, Iran

The aim of this paper is the study of fuzzy basis and dimensionof fuzzy hypervector spaces. In this regard, first the notions of fuzzy linearindependence and fuzzy basis are introduced and then some related results areobtained. In particular, it is shown that for a large class of fuzzy hypervectorspace the fuzzy basis exist. Finally, dimension of a fuzzy hypervector space isdefined and the basic properties of that are investigated.

Fuzzy hypervector space, Fuzzy linear independence, Fuzzy basis, Dimension