Another Type of Fuzzy Inner Product Space

Raghad I. Sabri; Buthainah A. A. Ahmed

doi:10.24996/ijs.2023.64.4.25

Authors

Raghad I. Sabri Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq https://orcid.org/0000-0002-3673-5864
Buthainah A. A. Ahmed Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2023.64.4.25

Keywords:

Fuzzy inner product, Fuzzy inner product space, Fuzzy norm

Abstract

In this paper, we generalize the definition of fuzzy inner product space that is introduced by Lorena Popa and Lavinia Sida on a complex linear space. Certain properties of the generalized fuzzy inner product function are shown. Furthermore, we prove that this fuzzy inner product produces a Nadaban-Dzitac fuzzy norm. Finally, the concept of orthogonality is given and some of its properties are proven.