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arXiv · 1403.5753

D-CFPR: D numbers extended consistent fuzzy preference relations

Xinyang Deng·Felix T. S. Chan·Rehan Sadiq·Sankaran Mahadevan·Yong Deng
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Abstract

How to express an expert's or a 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 additive 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 be totally reduced 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).

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Xinyang Deng, Felix T. S. Chan, Rehan Sadiq, Sankaran Mahadevan, Yong Deng. 2014-03-23. D-CFPR: D numbers extended consistent fuzzy preference relations. https://arxiv.org/abs/1403.5753

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