Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Some Remarks on Fuzzy Hilbert Spaces

Version 1 : Received: 22 February 2021 / Approved: 23 February 2021 / Online: 23 February 2021 (14:35:50 CET)

A peer-reviewed article of this Preprint also exists.

Popa, L.; Sida, L. Fuzzy Inner Product Space: Literature Review and a New Approach. Mathematics 2021, 9, 765. Popa, L.; Sida, L. Fuzzy Inner Product Space: Literature Review and a New Approach. Mathematics 2021, 9, 765.

Journal reference: Mathematics 2021, 9, 765
DOI: 10.3390/math9070765

Abstract

The aim of this paper is to determine a suitable definition for the concept of fuzzy Hilbert space. In order to achieve this, we firstly focused on various approaches from the already-existent literature. Then we considered another approach to the notion of fuzzy inner product and analysed its properties.

Keywords

fuzzy Hilbert space; fuzzy inner product; fuzzy norm

Subject

MATHEMATICS & COMPUTER SCIENCE, Algebra & Number Theory

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