The Voting Analytic Hierarchy Process revisited: A revised method with application to sustainable supplier selection

Pishchulov, Grigory; Trautrims, Alexander; Chesney, Thomas; Gold, Stefan; Schwab, Leila

Abstract

© 2019 Elsevier B.V. Civil society increasingly holds focal companies accountable for ensuring socially and environmentally sustainable production standards among their supply base. These standards entail increased levels of complexity to be addressed by appropriately designed tools, such as the Voting Analytic Hierarchy Process (VAHP) proposed by Liu and Hai (2005). This method of multi-criteria group decision making structures decision criteria in a hierarchical fashion as per Saaty's Analytic Hierarchy Process (AHP) and employs data envelopment analysis (DEA) for deriving criteria weights from the ordinal preferences of the group members. Compared to AHP, the method permits a simpler application in a group decision context. However, its theoretical underpinnings have been questioned in the literature. This specifically concerns (i) the requirement of a strong convex order for the importance weights of ordinal rank gradations, and (ii) the choice of discrimination threshold for consecutive rank weights in the underlying DEA model. We propose a revised VAHP method that overcomes both issues (i) and (ii) by pursuing a game-theoretic approach to elicitation of criteria weights — so as to remove subjectivity from rank discrimination. We illustrate the application of the method on a real-world problem of sustainable supplier selection. We contribute to theory by proposing a more robust VAHP tool that helps supply chain and purchasing managers selecting suppliers based on a comprehensive set of criteria spanning all three sustainability dimensions (economic, environmental, and social), while coping with parsimonious input by group decision-makers.

Citation

Pishchulov, G., Trautrims, A., Chesney, T., Gold, S., & Schwab, L. (2019). The Voting Analytic Hierarchy Process revisited: A revised method with application to sustainable supplier selection. International Journal of Production Economics, 211, 166-179. https://doi.org/10.1016/j.ijpe.2019.01.025

• Journal Article Type: Article
• Acceptance Date: Jan 20, 2019
• Online Publication Date: Jan 22, 2019
• Publication Date: May 1, 2019
• Deposit Date: Apr 23, 2020
• Publicly Available Date: Jul 23, 2020
• Journal: International Journal of Production Economics
• Print ISSN: 0925-5273
• Electronic ISSN: 0925-5273
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 211
• Pages: 166-179
• DOI: https://doi.org/10.1016/j.ijpe.2019.01.025
• Keywords: Management Science and Operations Research; Economics and Econometrics; Industrial and Manufacturing Engineering; General Business, Management and Accounting
• Public URL: https://nottingham-repository.worktribe.com/output/1493216
• Publisher URL: https://www.sciencedirect.com/science/article/abs/pii/S0925527319300350?via%3Dihub
• Additional Information: Rights Lab