Confidence Levels-Based p, q-Quasirung Orthopair Fuzzy Operators and Its Applications to Criteria Group Decision Making Problems

• Published in: IEEE access 2023, Vol.11, p.109983-109996
• Main Authors: Rahim, Muhammad, Shah, Kamal, Abdeljawad, Thabet, Aphane, Maggie, Alburaikan, Alhanouf, Khalifa, Hamiden Abd El-Wahed
• Format: Article
• Language: English
• Subjects: aggregation operators; Confidence intervals; confidence levels; Decision making; Finite element analysis; Fuzzy sets; Fuzzy systems; Mathematics; multi-criteria group decision-making; Multiple criterion; Navigation; Operators (mathematics); optimization; optimization method; p, q-quasirung orthopair fuzzy set; q-quasirung orthopair fuzzy set; Systematics; Uncertainty
• ISSN: 2169-3536; 2169-3536
• DOI: 10.1109/ACCESS.2023.3321876

The p,q -quasirung orthopair fuzzy ( p,q -QOF) set, an extension of the q -rung orthopair fuzzy set ( q -ROF) set, offers a more comprehensive approach to information representation, adept at managing data uncertainties. Unlike the restrictive conditions of q -ROF set, which require that the sum of q^{th} power of membership ( \eta ) and non-membership function ( \vartheta ) must not exceed one ( \eta ^{q}+\vartheta ^{q}\preccurlyeq 1 ), p,q -QOFS relaxes these limitations. Here, the combined value of the p^{th} power of membership and q^{th} power of non-membership is confined within one i.e., \eta ^{p}+\vartheta ^{q} \preccurlyeq 1 , under the conditions p,q \succcurlyeq 1 and various relationships between p and q ( p=q , p\succ q or p\prec q ). This study explores leveraging confidence levels tied to each p,q -quasirung orthopair fuzzy number ( p,q -QOFN) to devise a set of averaging and geometric aggregation operators (AOs). These operators effectively combine rating va