Abstract
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.
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. https://doi.org/10.35834/2022/3401094
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