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Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

Sup-hesitant fuzzy UP-algebras

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pp. 381–406Vol. 28Issue 2March 2025DOI: 10.47974/JIM-1552XML
Received:
09 Mar 2022
Accepted:
24 Aug 2022
Published Online:
15 Mar 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-1552
Pages:
381–406

Abstract

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).

Keywords

Subject Classifications

03E7203G2508A72

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