Stabilizers in EQ-algebras-Reference-Cited by-同舟云学术

Stabilizers in EQ-algebras

Published:2019-08-28 Issue:1 Volume:17 Page:998-1013
ISSN:2391-5455
Container-title:Open Mathematics
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Author:

Cheng Xiao Yun¹,Wang Mei²,Wang Wei³,Wang Jun Tao⁴

Affiliation:

1. School of Science, Xi’an Aeronautical University, Xi’an, 710077, Shaanxi, China

2. School of Mathematics and Statistics, Weinan Normal University, WeiNan, 714099, P.R. China

3. Department of Basic Courses, Shaanxi Railway institute, WeiNan, 714000, P.R. China

4. School of Science, Xi’an Shiyou University, Xi’an, 710065, Shaanxi, China

Abstract

Abstract The main goal of this paper is to introduce the notion of stabilizers in EQ-algebras and develop stabilizer theory in EQ-algebras. In the paper, we introduce (fuzzy) left and right stabilizers and investigate some related properties of them. Then, we discuss the relations among (fuzzy) stabilizers, (fuzzy) prefilters (filters) and (fuzzy) co-annihilators. Also, we obtain that the set of all prefilters in a good EQ-algebra forms a relative pseudo-complemented lattice, where Str(F, G) is the relative pseudo-complemented of F with respect to G. These results will provide a solid algebraic foundation for the consequence connectives in higher fuzzy logic.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2019-0078/pdf

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