D-CFPR: D numbers extended consistent fuzzy preference relations
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).
Keywords
Cite
@article{arxiv.1403.5753,
title = {D-CFPR: D numbers extended consistent fuzzy preference relations},
author = {Xinyang Deng and Felix T. S. Chan and Rehan Sadiq and Sankaran Mahadevan and Yong Deng},
journal= {arXiv preprint arXiv:1403.5753},
year = {2014}
}
Comments
28 pages, 1 figure