Fuzzy set approach to ideal theory on Sheffer stroke BE-algebras
Volume 34, Issue 3, pp 283--294
https://dx.doi.org/10.22436/jmcs.034.03.07
Publication Date: March 29, 2024
Submission Date: February 05, 2024
Revision Date: February 18, 2024
Accteptance Date: February 29, 2024
Authors
N. Chunsee
- Faculty of Science and Technology, Uttaradit Rajabhat University, Uttaradit 53000, Thailand.
P. Julatha
- Department of Mathematics, Faculty of Science and Technology, Pibulsongkram Rajabhat University, Phitsanulok 65000, Thailand.
A. Iampan
- Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand.
Abstract
This paper aims to apply fuzzy set theory to Sheffer stroke BE-algebras. The concepts of fuzzy SBE-ideals and anti-fuzzy SBE-ideals of Sheffer stroke BE-algebras are introduced, and their important properties are investigated. Characterizations of SBE-ideals of SBE-algebras are given in terms of fuzzy SBE-ideals and anti-fuzzy SBE-ideals. Relationships between fuzzy SBE-ideals and anti-fuzzy SBE-ideals and their level subsets are discussed. We especially characterize fuzzy SBE-ideals and anti-fuzzy SBE-ideals by their level subsets.
Share and Cite
ISRP Style
N. Chunsee, P. Julatha, A. Iampan, Fuzzy set approach to ideal theory on Sheffer stroke BE-algebras, Journal of Mathematics and Computer Science, 34 (2024), no. 3, 283--294
AMA Style
Chunsee N., Julatha P., Iampan A., Fuzzy set approach to ideal theory on Sheffer stroke BE-algebras. J Math Comput SCI-JM. (2024); 34(3):283--294
Chicago/Turabian Style
Chunsee, N., Julatha, P., Iampan, A.. "Fuzzy set approach to ideal theory on Sheffer stroke BE-algebras." Journal of Mathematics and Computer Science, 34, no. 3 (2024): 283--294
Keywords
- SBE-ideal
- fuzzy SBE-ideal
- anti-fuzzy SBE-ideal
- level subset
- Sheffer stroke BE-algebra
MSC
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