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AIMS Mathematics

2022, Volume 7, Issue 7: 13410-13422. doi: 10.3934/math.2022741
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Research article

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

  • Department of Mathematics, Xi'an Traffic Engineering Institute, 710300, China
  • Received: 25 January 2022 Revised: 25 March 2022 Accepted: 31 March 2022 Published: 18 May 2022

  • MSC : 03G25, 08A72

  • 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.

    Citation: Man Jiang. Properties of R0-algebra based on hesitant fuzzy MP filters and congruence relations[J]. AIMS Mathematics, 2022, 7(7): 13410-13422. doi: 10.3934/math.2022741

    Related Papers:

  • 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.


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