Fuzzy Soft Inner Product Spaces

Authors

Nashat Faried, Department of Mathematics, Faculty of Science, Ain Shams University, 11566, Cairo, EgyptFollow
Mohamed S. S. Ali, Department of Mathematics, Faculty of Education, Ain Shams University, 11341, Cairo, EgyptFollow
Hanan H. Sakr, Department of Mathematics, Faculty of Education, Ain Shams University, 11341, Cairo, EgyptFollow

Author Country (or Countries)

Egypt

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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140419

Recommended Citation

Faried, Nashat; S. S. Ali, Mohamed; and H. Sakr, Hanan (2020) "Fuzzy Soft Inner Product Spaces," Applied Mathematics & Information Sciences: Vol. 14: Iss. 4, Article 19.
DOI: http://dx.doi.org/10.18576/amis/140419
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss4/19