On initial and final linear fuzzifying uniformities-Reference-Cited by-同舟云学术

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On initial and final linear fuzzifying uniformities

Published:2022-04-28 Issue:6 Volume:42 Page:5501-5509
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

The main purpose of this paper is to study initial and final Hutton type of linear fuzzifying uniformities. The detailed characterizations of initial and final linear fuzzifying uniformities are obtained. In addition, the boundedness, complete boundedness and T2 separation axiom of initial linear fuzzifying uniform spaces are investigated. Some examples with respect to initial and final linear fuzzifying uniformities are also provided.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

Reference24 articles.

1. On initial and final fuzzy uniform structures;Bayoumi;Fuzzy Sets and Systems,2003

2. On initial and final fuzzy uniform structures, Part II;Bayoumi;Fuzzy Sets and Systems,2006

3. Generalized uniform spaces;Burton;J Fuzzy Math,1996

4. The theory of global fuzzy neighborhood structures, Part I, The general case;Gähler;Fuzzy Sets and Systems,1998

5. Hutton[0, 1]-quasi-uniformities induced by fuzzy (quasi-)metric spaces;Gutiérrez García;Fuzzy Sets and Systems,2006

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