Fuzzifying bornological linear spaces-Reference-Cited by-同舟云学术

Fuzzifying bornological linear spaces

Published:2022-02-02 Issue:3 Volume:42 Page:2347-2358
ISSN:1064-1246
Container-title:Journal of Intelligent & Fuzzy Systems
language:
Short-container-title:IFS

Author:

Jin Zhen-Yu¹,Yan Cong-Hua²

Affiliation:

1. School of Math. Sciences, Suzhou University of Science and Technology, Suzhou, Jiangsu, China

2. Institute of Math., School of Math. Sciences, Nanjing Normal University, Nanjing Jiangsu, People’s Republic of China

Abstract

In this paper, a notion of fuzzifying bornological linear spaces is introduced and the necessary and sufficient condition for fuzzifying bornologies to be compatible with linear structure is discussed. The characterizations of convergence and separation in fuzzifying bornological linear spaces are showed. In particular, some examples with respect to linear fuzzifying bornologies induced by probabilistic normed spaces and fuzzifying topological linear spaces are also provided.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

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