Affiliations: [a]
Department of Mathematics, Riphah International University Lahore, (Lahore Campus), Lahore Pakistan | [b]
College of Humanities and Social Sciences, Hebei Agricultural University, Baoding, China
| [c]
Department of Mathematics, Thapar Institute of Engineering and Technology (Deemed University), Patiala, Punjab, India
| [d]
Department of Basic Sciences, Preparatory Year Deanship, King Faisal University, Al-Ahsa, Saudi Arabia
| [e]
College of Economics and Management, Hebei Agricultural University, Baoding, China
Correspondence:
[*]
Corresponding authors: Ashraf Al-Quran, Basic Sciences Department, Preparatory Year Deanship, King Faisal University, Al-Ahsa 31982, Saudi Arabia. E-mail: [email protected], Kifayat Ullah, Department of Mathematics, Riphah International University Lahore, (Lahore Campus) 5400, Lahore Pakistan. E-mail: [email protected], Shi Yin, College of Economics and Management, Hebei Agricultural University, Baoding, 071000, China. E-mail: [email protected].
Abstract: The q-rung orthopair fuzzy set (q-ROFS) is a moderate mathematical model, that has diverse capabilities to handle uncertain and ambiguous information of human opinion during the decision analysis process. The Aczel Alsina operations are more flexible and valuable aggregating tools with parameter values ϻ ⩾ 1, reflecting smooth and accurate information by aggregating awkward and redundant information. The theory of the Choquet integral operator is also used to express the interaction between preferences or criteria by incorporating certain values of preferences. The primary features of this article are to derive some dominant mathematical approaches by combining two different theories like Choquet integral operators and operations of Aczel Alsina tools namely “q-rung orthopair fuzzy Choquet integral Aczel Alsina average” (q-ROFCIAAA), and “q-rung orthopair fuzzy Choquet integral Aczel Alsina geometric” (q-ROFCIAAG) operators. Some special cases and notable characteristics are also demonstrated to show the feasibility of derived approaches. Based on our derived aggregation approaches, a multi-attribute decision-making (MADM) technique aggregates redundant and unpredictable information. In light of developed approaches, a numerical example study to evaluate suitable safety equipment in the construction sector. To reveal the intensity and applicability of derived approaches by contrasting the results of prevailing approaches with currently developed AOs.
Keywords: q-rung orthopair fuzzy values, choquet integral operators, aczel alsina operations, and decision support system
