Another Type of Fuzzy Inner Product Space

    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 Nada...

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Bibliographic Details
Published in:Iraqi journal of science 2023-04, p.1853-1861
Main Authors: Sabri, Raghad I., Ahmed, Buthainah A. A.
Format: Article
Language:English
Online Access:Get full text
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Summary:    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.
ISSN:0067-2904
2312-1637
DOI:10.24996/ijs.2023.64.4.25