Sup-hesitant fuzzy UP-algebras
Pongpun Julatha, Thiti Gaketem, Pannawit Khamrot, Rukchart Prasertpong, Aiyared Iampan · Journal of Interdisciplinary Mathematics · 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).