A GRA-based heterogeneous multi-attribute group decision-making method with attribute interactions

Date

2025-01-30

Advisors

Journal Title

Journal ISSN

ISSN

0360-8352

Volume Title

Publisher

Elsevier

Type

Article

Peer reviewed

Yes

Abstract

In the era of VUCA (Volatility, Uncertainty, Complexity, Ambiguity), multi-attribute group decision-making (MAGDM) problems face the challenges of heterogeneous uncertainty in decision information and complex interactions between attributes, which greatly affect the reliability of decision-making outcomes. To address these challenges, this paper proposes a novel heterogeneous MAGDM method based on grey relational analysis (GRA) that considers attribute interactions. First, the heterogeneous information is integrated, including crisp numbers, generalized grey numbers, intuitionistic fuzzy numbers, hesitant fuzzy numbers, and probabilistic linguistic term sets. Then, by incorporating the 2-additive Choquet integral into GRA, we establish a heterogeneous grey interactive relational model and explore its properties. Subsequently, a heterogeneous grey relational Mahalanobis-Taguchi System is designed to estimate the Shapley values of attributes. Additionally, a two-stage resolution mechanism, comprising a consensus reaching process followed by a grey relational multi-objective programming model, is devised to determine the interaction indices. Finally, the effectiveness of the proposed method is demonstrated through a case study from China’s aviation manufacturing industry, along with sensitivity analysis and comparison analyses.

Description

The file attached to this record is the author's final peer reviewed version. The Publisher's final version can be found by following the DOI link.

Keywords

Citation

Feng, Y., Dang, Y., Wang, J., Du, J. and Chiclana, F. (2025) A GRA-based heterogeneous multi-attribute group decision-making method with attribute interactions. Computers & Industrial Engineering, 110920

Rights

Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/

Research Institute

Institute of Digital Research, Communication and Responsible Innovation