The norm of continuous linear operator between two fuzzy quasi-normed spaces-Reference-Cited by-同舟云学术

The norm of continuous linear operator between two fuzzy quasi-normed spaces

Published:2022 Issue:7 Volume:7 Page:11759-11771
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Wang Han¹,Wu Jianrong¹

Affiliation:

1. College of Mathematics Science, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, China

Abstract

<abstract> <p>In this paper, firstly, we introduce the concepts of continuity and boundedness of linear operators between two fuzzy quasi-normed spaces with general continuous <italic>t</italic>-norms, prove the equivalence of them, and point out that the set of all continuous linear operators forms a convex cone. Secondly, we establish the family of star quasi-seminorms on the cone of continuous linear operators, and construct a fuzzy quasi-norm of a continuous linear operator.</p> </abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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