Fuzzy Hypervector Spaces Spanned by a Fuzzy Subset

The purpose of this paper is to develop the concept of fuzzy spanning for fuzzy subhypervector spaces. Let V be a hypervector space over a fieldK and let  be a fuzzy subhypervector space of V overa fuzzy field  of K . Let  be a fuzzy subset of V such that    and let   denote the intersection of allfuzzy subhypervector spaces of V over K that contain  and are contained in . We characterize the fuzzy subhypervector space   of V over K

Keywords:

Fuzzy hypervector space , fuzzy field , fuzzy singleton , fuzzy linear combination