On fuzzy sub-hyperspaces of hypervector spaces

摘要

The purpose of this paper is the study of sub-hyperspaces of a hypervector space investigating some of their properties. In this regard, the notion of a normal fuzzy sub-hyperspace of hypervector space is introduced. Using it, we construct new fuzzy sub-hyperspaces. We also show that, under certain conditions, a fuzzy sub-hyperspace of a hypervector space is two-valued and takes the values 0 and 1.