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Research Article | Open Access

Properties of R0-algebra based on hesitant fuzzy MP filters and congruence relations

Department of Mathematics, Xi'an Traffic Engineering Institute, 710300, China
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Abstract

The hesitant fuzzy MP filter and the hesitant fuzzy congruence relation of algebra are introduced in this study, and their properties are investigated. The comparable characterization of a hesitant fuzzy MP filter is then provided. Furthermore, we established that the set of all hesitant fuzzy congruence relations and the set of all hesitant fuzzy MP filters of R0-algebra are complete lattice isomorphism based on the features of the hesitant fuzzy congruence relation in R0-algebra.

CLC number: 03G25, 08A72

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AIMS Mathematics
Pages 13410-13422

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Cite this article:
Jiang M. Properties of R0-algebra based on hesitant fuzzy MP filters and congruence relations. AIMS Mathematics, 2022, 7(7): 13410-13422. https://doi.org/10.3934/math.2022741

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Received: 25 January 2022
Revised: 25 March 2022
Accepted: 31 March 2022
Published: 15 July 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)