The Measure of Fuzzy Filters on BL-Algebras-Reference-Cited by-同舟云学术

The Measure of Fuzzy Filters on BL-Algebras

Published:2019-12-12 Issue: Volume:2019 Page:1-8
ISSN:1687-7101
Container-title:Advances in Fuzzy Systems
language:en
Short-container-title:Advances in Fuzzy Systems

Author:

Zhu Xiang¹²^ORCID,Md Johar Md Gapar¹^ORCID,Raya Lilysuriazna Binti¹,Liao Zu-hua³

Affiliation:

1. Information Science & Engineering, Management & Science University, Shah Alam 40100, Malaysia

2. Division of General Courses, Wuxi Institute of Technology, Wuxi 214121, China

3. School of Science, Jiangnan University, Wuxi 214122, China

Abstract

The new concept of the fuzzy filter degree was given by means of the implication operator, which enables to measure a degree to which a fuzzy subset of a BL-algebra is a fuzzy filter. In this paper, we put forward several equivalent characterizations of the fuzzy filter degree by studying its properties and the relationship with level cut sets. Furthermore, we study the fuzzy filter degrees of the intersection and fuzzy direct products of fuzzy subsets and investigate the fuzzy filter degrees of the image and the preimage of a fuzzy subset under a homomorphism.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Computational Mathematics,Control and Optimization,Control and Systems Engineering

Link

http://downloads.hindawi.com/journals/afs/2019/8348603.pdf

Reference21 articles.

1. Fuzzy filters of BL-algebras

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