Fuzzy α- Topological Vector Space

Suhad K.  Hameed

doi:10.24996/ijs.2022.63.4.34

Authors

Suhad K. Hameed Department of Mathematics, College of Science, Diyala University, Diyala, Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.4.34

Keywords:

Topological vector space, fuzzy alpha topological vector space, fuzzy T2 -space and, extremely point

Abstract

In this study, the concept of fuzzy α-topological vector space is introduced by using the concept fuzzy α-open set , some properties of fuzzy α-topological vector spaces are proved .We also show that the space is -space iff every singleton set is fuzzy α- closed .Finally, the convex property and its relation with the interior points are discussed.