Critical impact of automobile industry with advanced decision support system and Aczél-Alsina Hammy mean operators

Abrar Hussain; Kifayat Ullah; Zeeshan Ali; Dragan Pamucar

doi:10.1038/s41598-025-24344-6

Critical impact of automobile industry with advanced decision support system and Aczél-Alsina Hammy mean operators

Sci Rep. 2026 Jan 8;16(1):897. doi: 10.1038/s41598-025-24344-6.

Authors

Abrar Hussain^{1

2

3}, Kifayat Ullah^{1

4}, Zeeshan Ali⁵, Dragan Pamucar⁶

Affiliations

¹ Department of Mathematics, Riphah International University (Lahore Campus), Lahore, 54000, Pakistan.
² College of Mechatronics and Control Engineering , Shenzhen University, Shenzhen, 518060, China.
³ College of Computer Science and Software Engineering, Shenzhen University, Shenzhen, 518060, China.
⁴ Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai, Tamil Nadu, 602105, India.
⁵ Department of Information Management, National Yunlin University of Science and Technology, 123 University Road, Section 3, Douliou, 64002, Yunlin, Taiwan, R.O.C.
⁶ Széchenyi István University, Győr, Hungary. pamucar.dragan@sze.hu.

Abstract

The automobile industry plays a pivotal role in global economic development, technological innovation, and sustainable mobility solutions. It drives advancements in engineering, manufacturing, and smart technologies and influences transportation systems. A decision analysis system in the automobile industry serves as a structured framework to evaluate complex choices involving design, production, supply chain, marketing, and sustainability strategies based on vague human information. To achieve the main goal of this article, we explore the concepts of spherical fuzzy sets (SFSs) for handling uncertainty and vagueness in human judgments. The SFS is a more efficient and broader fuzzy framework that has extensive information about an object. Besides the concepts discussed in the fuzzy framework, we also modify the theory of Hamy mean (HM) models under Aczel Alsina operations. By combining two different theories of Aczel Alsina operations and Hamy mean models, we derive a family of mathematical models, namely spherical fuzzy Aczel Alsina Hamy mean (SFAHM) and spherical fuzzy Aczel Alsina weighted Hamy mean (SFAWHM) operators. Moreover, another generalization of the Dual HM (DHM) models is modified in the form of spherical fuzzy Aczel Alsina DHM (SFADHM) and spherical fuzzy Aczel Alsina weighted DHM (SFAWDHM) operators. Some reliable and appropriate characteristics are also studied to demonstrate the flexibility of the proposed operators. An intelligent decision algorithm of the multi-attribute group decision-making (MAGDM) problem is discussed to resolve real-life applications and a group of expert's opinions. To see the effectiveness and reliability of newly developed terminologies, we discussed a numerical example to choose desirable alternatives under an automobile industry system. The influence study is also presented here by setting numerous parametric values in the currently discussed methodologies. To showcase the validation and superiority of diagnosed mathematical models, we establish a comparative study to compare the results of invented approaches with the results of existing terminologies.

Keywords: Aczel Alsina operations; Automobile industry and multi-attribute group decision-making process; Hamy mean and dual Hamy man models; Spherical fuzzy values.