Journal
KNOWLEDGE-BASED SYSTEMS
Volume 73, Issue -, Pages 61-68Publisher
ELSEVIER
DOI: 10.1016/j.knosys.2014.09.007
Keywords
Consistent fuzzy preference relations; D-CFPR; D numbers; Dempster-Shafer evidence theory; Belief function
Categories
Funding
- National Natural Science Foundation of China [61174022]
- Specialized Research Fund for the Doctoral Program of Higher Education [20131102130002]
- R&D 67 Program of China [2012BAHO7B01]
- National High Technology Research and Development Program of China (863 Program) [2013AA013801]
- State Key Laboratory of Virtual Reality Technology and Systems, Beihang University [BUAA-VR-14KF-02]
- Fundamental Research Funds for the Central Universities [XDJK2014D034]
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How to express an expert's or decision maker's preference for alternatives is an open issue. Consistent fuzzy preference relation (CFPR) is with big advantages to handle this problem due to it can be construed via a smaller number of pairwise comparisons and satisfies transitivity property. However, the CFPR is incapable of dealing with the cases involving uncertain and incomplete information. In this paper, a D numbers extended consistent fuzzy preference relation (D-CFPR) is proposed to overcome the weakness. The D-CFPR extends the classical CFPR by using a new model of expressing uncertain information called D numbers. The D-CFPR inherits the merits of classical CFPR and can totally reduce to the classical CFPR. This study can be integrated into our previous study about D-AHP (D numbers extended AHP) model to provide a systematic solution for multi-criteria decision making (MCDM). (C) 2014 Elsevier B.V. All rights reserved.
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