Multiple criteria group decision making with belief distributions and distributed preference relations

Chao Fu, Wenjun Chang, Min Xue and Shanlin Yang

European Journal of Operational Research, 2019, vol. 273, issue 2, 623-633

Abstract: To solve multiple criteria group decision making (MCGDM) problems with belief distributions (BDs) and distributed preference relations (DPRs), this paper proposes a new method. For unifying BDs and DPRs, the transformation from BDs into DPRs is developed. Two important properties of the transformation, which are the internal consistency and the Pareto principle of social choice theory, are theoretically proven on the condition that the evidential reasoning algorithm is used to combine DPRs. With a view to relieving the burden on decision makers to provide complete DPR matrices, the process of generating solutions to the MCGDM problems from the DPRs between neighboring alternatives and belief matrices composed of BDs is presented through the consistency between the score intervals of the DPRs. The proposed method is used to select a key filed for an enterprise located in Hefei, Anhui Province, China. The selection is validated by analyzing actual situations to demonstrate the applicability and validity of the proposed method. The internal consistency and the Pareto principle of social choice theory are verified through the relevant results of conducting the selection and simulation experiments based on selected data and random parameters in the field selection problem.

Keywords: Group decisions and negotiations; Belief distribution; Distributed preference relation; Internal consistency; Pareto principle (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (14)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0377221718306921
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:273:y:2019:i:2:p:623-633

DOI: 10.1016/j.ejor.2018.08.012

Access Statistics for this article

European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

More articles in European Journal of Operational Research from Elsevier
Bibliographic data for series maintained by Catherine Liu ().