Translator Disclaimer
Feb 2017 Fuzzy inner product spaces and fuzzy orthogonality
Ehsan Mostofian, Mahdi Azhini, Abasalt Bodaghi
Author Affiliations +
Tbilisi Math. J. 10(2): 157-171 (Feb 2017). DOI: 10.1515/tmj-2017-0034

Abstract

In this paper, we present two new fuzzy inner product spaces and investigate some basic properties of these spaces. Specially, we prove parallelogram law for two and three vectors. Also, we introduce a suitable notion of orthogonality.

Citation

Download Citation

Ehsan Mostofian. Mahdi Azhini. Abasalt Bodaghi. "Fuzzy inner product spaces and fuzzy orthogonality." Tbilisi Math. J. 10 (2) 157 - 171, Feb 2017. https://doi.org/10.1515/tmj-2017-0034

Information

Received: 16 October 2016; Accepted: 12 January 2017; Published: Feb 2017
First available in Project Euclid: 26 May 2018

zbMATH: 1381.46063
MathSciNet: MR3660764
Digital Object Identifier: 10.1515/tmj-2017-0034

Subjects:
Primary: 46A55
Secondary: 46B99

Rights: Copyright © 2017 Tbilisi Centre for Mathematical Sciences

JOURNAL ARTICLE
15 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.10 • No. 2 • Feb 2017
Back to Top