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.

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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

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