Another Type of Fuzzy Inner Product Space

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.

Downloads

Published

2023-04-30

Issue

Section

Mathematics

How to Cite

Another Type of Fuzzy Inner Product Space. (2023). Iraqi Journal of Science, 64(4), 1853-1861. https://doi.org/10.24996/ijs.2023.64.4.25
Crossref
2
Scopus
8
Crossref Logo
Sorin Nădăban, Dan Deac (2024)
Decision Making and Decision Support in the Information Era. Studies in Systems, Decision and Control, 534, 287.
Scopus Logo
Kareem N.R. (2025-03-05)
Variational Iteration Method for Solving Fuzzy Stochastic Ordinary Differential Equations. Aip Conference Proceedings, 3264(1).
Scopus Logo
Sabri R.I. (2025-01-01)
Some Fixed Point Theorems in Intuitionistic Fuzzy Metric Space. Iraqi Journal of Science, 66(2), 669-677.
Scopus Logo
Sabri R.I. (2025-01-01)
N*-Iteration Approach For Approximation Of Fixed Points In Uniformly Convex Banach Space. Journal of Applied Science and Engineering, 28(8), 1671-1678.
Scopus Logo
Saadoon N.Q. (2025-01-01)
Numerical Solutions for Fuzzy Stochastic Ordinary Differential Equations Using Heun’s Method with a Dual-Wiener Process Framework. Mathematical Modelling of Engineering Problems, 12(3), 763-773.
Scopus Logo
Kareem N.R. (2025-01-01)
Solution Of Linear Fuzzy Stochastic Ordinary Differential Equations Using Homotopy Perturbation Method. Journal of Applied Science and Engineering, 28(4), 717-730.
Scopus Logo
Sabri R.I. (2024-01-01)
On α̌– φ̆ −Fuzzy Contractive Mapping in Fuzzy Normed Space. Baghdad Science Journal, 21(4), 1355-1362.
Scopus Logo
Sabri R.I. (2024-01-01)
Some Results of Fixed Point for Single Value Mapping in Fuzzy Normed Space with Applications. Iraqi Journal of Science, 65(4), 2105-2113.

Similar Articles

1-10 of 735

You may also start an advanced similarity search for this article.