A direct approach based on \(\mathrm{C}^{2}\)-IULOWA operator for group decision making with uncertain additive linguistic preference relations
type: Item
instance of: scholarly article
title: A direct approach based on \(\mathrm{C}^{2}\)-IULOWA operator for group decision making with uncertain additive linguistic preference relations
zbMATH Open document ID: 1397.91145
DOI: 10.1155/2013/420326
author: Ding-Hong Peng
author: Zhi-Fang Gao
author: Chang-Yuan Gao
author: Hua Wang
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: With respect to group decision making (GDM) problem with uncertain additive linguistic preference relations (UALPRs), we investigate the efficient aggregation of the uncertain additive linguistic preference information. First, we introduce two measures to assess the consistency level and the consensus level of uncertain additive linguistic preference information, respectively, and study some of their desirable properties. Then, based on both the two measures, we propose a coinduced uncertain linguistic ordered weighted averaging (IULOWA) operator, called the consistency and consensus coinduced uncertain linguistic ordered weighted averaging (\(\mathrm{C}^{2}\)-IULOWA) operator, to aggregate individual uncertain additive linguistic preference information, in which the consistency level and the consensus level synergistically serve as inducing variables and then guide the determination of the associated weights. We have proved the collective uncertain linguistic preference information aggregated by the \(\mathrm{C}^{2}\)-IULOWA operator that can maintain the fundamental properties of preference relation, such as indifference, reciprocity, and transitivity. By using the \(\mathrm{C}^{2}\)-IULOWA operator, we develop a direct GDM approach with UALPRs. Finally, an illustrative example on the selection of chief quality officer is used to demonstrate the effectiveness and rationalitly of the developed approach.
Mathematics Subject Classification ID: 91B06
zbMATH DE Number: 6950664
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/420326
OpenAlex ID: W2052573639
Wikidata QID: Q59005865
description: scientific article; zbMATH DE number 6950664