New additive consistency framework and utility derivation for interval fuzzy reciprocal preference relations
Zhou-Jing Wang,
Feng-Qin Liu,
Sun-Tao Qin and
Xiao-Tong Jin
Journal of the Operational Research Society, 2021, vol. 73, issue 11, 2572-2590
Abstract:
The interval fuzzy reciprocal preference relation (IFRPR) is one of commonly used frameworks characterizing decision-makers’ indeterminate preferences in multi-criteria decision making. Existing additive consistency frameworks and methods of generating additively consistent IFRPRs from interval fuzzy utility vectors as well as interval utility derivation methods often fail to obtain a satisfactory solution. To settle these challenging issues, this paper devises parametric transitivity equations to define additive consistency of IFRPRs. The parameter values are then determined and an equivalent definition is proposed for additively consistent IFRPRs. Important properties of consistent IFRPRs are developed and an additive consistency index is designed. A notion of equivalent interval fuzzy utility vectors is introduced and a novel framework is presented to normalize interval fuzzy utility vectors. Computational formulas are established for the generation between additively consistent IFRPRs and normalized interval fuzzy utility vectors. A goal programming model is built and converted into a linear program for deriving normalized interval fuzzy utility vectors from IFRPRs. Three illustrations including comparative analysis are provided to expose how the proposed models are utilized to identify whether an IFRPR is additively consistent and determine unknown preferences in an incomplete IFRPR as well as obtain normalized interval fuzzy utility vectors from IFRPRs.
Date: 2021
References: Add references at CitEc
Citations:
Downloads: (external link)
http://hdl.handle.net/10.1080/01605682.2021.2004947 (text/html)
Access to full text is restricted to subscribers.
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:taf:tjorxx:v:73:y:2021:i:11:p:2572-2590
Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/tjor20
DOI: 10.1080/01605682.2021.2004947
Access Statistics for this article
Journal of the Operational Research Society is currently edited by Tom Archibald
More articles in Journal of the Operational Research Society from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().