Fuzzy α- Topological Vector Space

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.

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Published

2022-04-30

How to Cite

Hameed, S. K. . (2022). Fuzzy α- Topological Vector Space. Iraqi Journal of Science, 63(4), 1765–1769. https://doi.org/10.24996/ijs.2022.63.4.34

Issue

Section

Mathematics