Aczel-Alsina T-norm based group decision-making technique for the evaluation of electric cars using generalized orthopair fuzzy aggregation information with unknown weights

Nan Zhang; Muhammad Rizwan Khan; Kifayat Ullah; Muhammad Saad; Shi Yin

doi:10.1016/j.heliyon.2024.e26921

Aczel-Alsina T-norm based group decision-making technique for the evaluation of electric cars using generalized orthopair fuzzy aggregation information with unknown weights

Heliyon. 2024 Mar 1;10(6):e26921. doi: 10.1016/j.heliyon.2024.e26921. eCollection 2024 Mar 30.

Authors

Nan Zhang¹, Muhammad Rizwan Khan², Kifayat Ullah², Muhammad Saad³, Shi Yin⁴

Affiliations

¹ School of Marxism, Hebei Agricultural University, Baoding, 071001, China.
² Department of Mathematics, Riphah International University Lahore, Lahore, 54000, Pakistan.
³ Department of Applied Mathematics and Statistics, Institute of Space Technology Islamabad, Islamabad, Pakistan.
⁴ College of Economics and Management, Hebei Agricultural University, Baoding, 071000, China.

Abstract

Data management and finding precise outcomes from large amounts of information are among the biggest challenges for scientists. The technique of multi-attribute group decision-making (MAGDM) is a valuable tool for investigating fuzzy data precisely. The key objective of the paper is to redefine the q-rung orthopair (q-RO) fuzzy set (FS) (q-ROFS) in the term of interval-valued and proposed new aggregation operators (AOs) based on the Aczel-Alsina (AA) t-norm (TN) and t-conorm (TCN) operations. The AA operational laws are a generalized form of existing TNs and TCNs and give more reliable results because they can fluctuate in their parametric values. The concept of interval-valued enlarges the space of membership degree (MD) and non-membership degree (NMD) for decision-makers. By taking qth power, the interval-valued q-ROFS (IV-q-ROFS) structure. The IV-q-ROFS can handle the uncertainty and vagueness in data, then interval-valued intuitionistic FS (IV-IFS) and interval-valued Pythagorean FS (PyFS) (IV-PyFS) and provide accurate results. The thought of power AOs (PAOs) makes the relationship between weight vectors and reduces the chances of uncertainty in aggregated results. By taking advantage of PAOs, this article is devoted to introducing the interval-valued q-ROF Aczel-Alsina power-weighted averaging (IV-q-ROFAAPWA) and interval-valued q-ROF Aczel-Alsina power-weighted geometric (IV-q-ROFAAPWG) operators. The fundamental axioms of AOs, idempotency, boundedness, and monotonicity, are also discussed. To illustrate the importance of suggested AOs, the real-life problem of electric car selection was solved by applying the MAGDM method using the proposed IV-q-ROFAAPWA and IV-q-ROFAAPWG operators. The comparison of proposed AOs with currently present AOs is also part of the article. We finally constructed solid conclusions.