Fuzzy soft inner product spaces

Nashat Faried; Mohamed S.S. Ali; Hanan H. Sakr

doi:10.18576/AMIS/140419

Fuzzy soft inner product spaces

Nashat Faried, Mohamed S.S. Ali, Hanan H. Sakr

Ain Shams University

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

In this paper, we investigate the structure of a fuzzy soft inner product on fuzzy soft linear spaces and invoke a definition in terms of fuzzy soft points. We examine some properties and examples of fuzzy soft inner product spaces as well as fuzzy soft Cauchy-Schwartz inequality. It is shown that fuzzy soft orthogonality and fuzzy soft Hilbert spaces can be used as new tools to understand the most complex problems.

Original language	English
Pages (from-to)	709-720
Number of pages	12
Journal	Applied Mathematics and Information Sciences
Volume	14
Issue number	4
DOIs	https://doi.org/10.18576/AMIS/140419
State	Published - Jul 2020
Externally published	Yes

Keywords

Fuzzy set
Fuzzy soft inner product space
Fuzzy soft linear space
Fuzzy soft set
Soft set

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10.18576/AMIS/140419

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abstract = "In this paper, we investigate the structure of a fuzzy soft inner product on fuzzy soft linear spaces and invoke a definition in terms of fuzzy soft points. We examine some properties and examples of fuzzy soft inner product spaces as well as fuzzy soft Cauchy-Schwartz inequality. It is shown that fuzzy soft orthogonality and fuzzy soft Hilbert spaces can be used as new tools to understand the most complex problems.",

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AB - In this paper, we investigate the structure of a fuzzy soft inner product on fuzzy soft linear spaces and invoke a definition in terms of fuzzy soft points. We examine some properties and examples of fuzzy soft inner product spaces as well as fuzzy soft Cauchy-Schwartz inequality. It is shown that fuzzy soft orthogonality and fuzzy soft Hilbert spaces can be used as new tools to understand the most complex problems.

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KW - Soft set

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Fuzzy soft inner product spaces

Abstract

Keywords

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