Properties of Uniform Fuzzy Modules and Semiuniform Fuzzy Modules

samruam baupradist; Burhan Chemat; Ronnason Chinram

doi:10.22342/jims.28.2.1127.133-146

samruam baupradist ⁽¹⁾ , Burhan Chemat ⁽²⁾ , Ronnason Chinram ⁽³⁾

(1) Chulalongkorn University, Thailand,

(2) Chulalongkorn University, Thailand,

(3) Prince of Songkla University

https://doi.org/10.22342/jims.28.2.1127.133-146

Issue
VOLUME 28 NUMBER 2 (JULY 2022)

Submitted
December 30, 2021

Accepted
June 21, 2022

Published
July 30, 2022

Keywords:

Uniform modules, Uniform fuzzy modules, Semiuniform modules, Semiuniform fuzzy modules

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Abstract

In this research paper, the concepts of uniform fuzzy modules and semiuniform fuzzy modules were studied. We discussed the necessary and sufficient conditions between uniform fuzzy modules (and semiuniform fuzzy modules) in fuzzy set theory and uniform modules (and semiuniform modules) in module theory.

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Authors

samruam baupradist

Chulalongkorn University

samruam.b@chula.ac.th (Primary Contact)

Burhan Chemat

Chulalongkorn University

Ronnason Chinram

Prince of Songkla University

Author Biographies

samruam baupradist, Chulalongkorn University

Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand

Burhan Chemat, Chulalongkorn University

Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand

Ronnason Chinram, Prince of Songkla University

Algebra and Applications Research Unit, Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkla 90110 Thailand

baupradist, samruam, Chemat, B., & Chinram, R. (2022). Properties of Uniform Fuzzy Modules and Semiuniform Fuzzy Modules. Journal of the Indonesian Mathematical Society, 28(2), 133–146. https://doi.org/10.22342/jims.28.2.1127.133-146