@article { author = {Hila, K. and Naka, K.}, title = {On fuzzy sub-hyperspaces of hypervector spaces}, journal = {Iranian Journal of Science}, volume = {37}, number = {2}, pages = {103-108}, year = {2013}, publisher = {Springer}, issn = {2731-8095}, eissn = {2731-8109}, doi = {10.22099/ijsts.2013.1499}, abstract = {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.}, keywords = {Hypervector space,sub-hyperspace,fuzzy hypervector space,normal fuzzy sub-hyperspace}, url = {https://ijsts.shirazu.ac.ir/article_1499.html}, eprint = {https://ijsts.shirazu.ac.ir/article_1499_2f211f406a49628b10c73c12ea918b29.pdf} }