Author/Authors :
Yejun Xu، Yejun Xu نويسنده State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, No.1 Xikang Road, Nanjing, 210098, Jiangsu,China and Business School, Hohai University, Jiangning Campus, No.8 Focheng West Road, Jiangn- ing, Nanjing, 211100, Jiangsu, China , , Qianqian Wang، Qianqian Wang نويسنده State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, No.1 Xikang Road, Nanjing, 210098, Jiangsu, China and Business School, Hohai University, Jiangning Campus, No.8 Focheng West Road, Jiangn- ing, Nanjing, 211100, Jiangsu, China , , Huimin Wang، Huimin Wang نويسنده State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, No.1 Xikang Road, Nanjing, 210098, Jiangsu, China and Business School, Hohai University, Jiangning Campus, No.8 Focheng West Road, Jiangn- ing, Nanjing, 211100, Jiangsu, China ,
Abstract :
This paper proposes a quadratic programming method (QPM) for ranking alternatives based on multiplicative preference relations (MPRs) and fuzzy preference relations (FPRs). The proposed QPM can be used for deriving a ranking from either a MPR or a FPR, or a group of MPRs, or a group of FPRs, or their mixtures. The proposed approach is tested and examined with two numerical examples, and comparative analyses with the existing methods are provided to show the effectiveness and advantages of the QPM.