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May 2022 Picture Fuzzy Set Theory Applied to UP-algebras
Pimwaree Kankaew, Sunisa Yuphaphin, Nattacha Lapo, Ronnason Chinram, Aiyared Iampan
Author Affiliations +
Missouri J. Math. Sci. 34(1): 94-120 (May 2022). DOI: 10.35834/2022/3401094


The concept of picture fuzzy sets was first considered by Cuong and Kreinovich [6] in 2013, which are direct extensions of fuzzy sets and intuitionistic fuzzy sets. In this paper, we applied the concept of picture fuzzy sets in UP-algebras to introduce the eight new concepts of picture fuzzy sets: picture fuzzy UP-subalgebras, picture fuzzy near UP-filters, picture fuzzy UP-filters, picture fuzzy implicative UP-filters, picture fuzzy comparative UP-filters, picture fuzzy shift UP-filters, picture fuzzy UP-ideals, and picture fuzzy strong UP-ideals. The link between the eight new concepts of picture fuzzy sets in UP-algebras is also discussed.

Funding Statement

This work was supported by the revenue budget in 2021, School of Science, University of Phayao.


Download Citation

Pimwaree Kankaew. Sunisa Yuphaphin. Nattacha Lapo. Ronnason Chinram. Aiyared Iampan. "Picture Fuzzy Set Theory Applied to UP-algebras." Missouri J. Math. Sci. 34 (1) 94 - 120, May 2022.


Published: May 2022
First available in Project Euclid: 9 May 2022

Digital Object Identifier: 10.35834/2022/3401094

Primary: 06F35
Secondary: 03E72 , 08A72

Keywords: picture fuzzy comparative UP-filter , picture fuzzy implicative UP-filter , picture fuzzy near UP-filter , picture fuzzy set , picture fuzzy shift UP-filter , picture fuzzy strong UP-ideal , picture fuzzy UP-filter , picture fuzzy UP-ideal , picture fuzzy UP-subalgebra , UP-algebra

Rights: Copyright © 2022 University of Central Missouri, School of Computer Science and Mathematics


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Vol.34 • No. 1 • May 2022
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