journal-of-interdisciplinary-mathematics Journal of Interdisciplinary Mathematics 2169-012X 0972-0502 Taru Publications 10.47974/JIM-1552 Sup-hesitant fuzzy UP-algebras Julatha Pongpun Department of Mathematics, Faculty of Science and Technology, Pibulsongkram Rajabhat University, Phitsanulok, 65000, Thailand Gaketem Thiti Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao, 56000, Thailand Khamrot Pannawit Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Phitsanulok, Phitsanulok, 65000, Thailand Prasertpong Rukchart Division of Mathematics and Statistics, Faculty of Science and Technology, Nakhon Sawan Rajabhat University, Nakhon Sawan, 60000, Thailand Iampan Aiyared Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao, 56000, Thailand 28 2 381 406 15 03 2025

In this article, we examine the characteristics of sup-hesitant fuzzy UP-subalgebras (sup -HFUPSs) (resp., sup-hesitant fuzzy UP-filters (sup-HFUPFs), sup-hesitant fuzzy UP-ideals (sup-HFUPIs), sup-hesitant fuzzy strong UP-ideals (sup-HFSUPIs)) of UP-algebras and demonstrate that the notion of a sup-HFUPS (resp., sup-HFUPF, sup-HFUPI, sup-HFSUPI) is an extension of the notion of an interval-valued fuzzy UP-subalgebra (IvFUPS) (resp., interval-valued fuzzy UP-filter (IvFUPF), interval-valued fuzzy UP-ideal (IvFUPI), interval-valued fuzzy strong UP-ideal (IvFSUPI)). Additionally, fuzzy sets (FSs), Pythagorean fuzzy sets (PFSs), hesitant fuzzy sets (HFSs), interval-valued fuzzy sets (IvFSs), and cubic sets (CSs) are used to characterize sup-HFUPSs (resp., sup-HFUPFs, sup-HFUPIs, sup-HFSUPIs).

 UP-algebra Fuzzy set Pythagorean fuzzy set Hesitant fuzzy set Interval-valued fuzzy set Cubic set access open retracted no