American Institute of Mathematical Sciences

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July  2008, 4(3): 407-423. doi: 10.3934/jimo.2008.4.407

A multiple criteria sequential sorting procedure

Ye Chen 1, , Keith W. Hipel 2, and  D. Marc Kilgour 3,

1. 

College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, 210016, China
2. 

Department of Systems Design Engineering, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada
3. 

Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, N2L 3C5, Canada

Received  April 2007 Revised  March 2008 Published  July 2008

A novel procedure having strategic flexibility is designed to handle multiple criteria sorting problems such that a decision maker (DM) can adjust the group count and fine-tune group numbers to improve sorting efficiency. Its unique features include interactive control, so that the DM can adjust the number of groups and other sorting characteristics; the capacity to aggregate cardinal and ordinal criteria using concepts from data envelopment analysis; and the integration of approximate information about criterion weights, which may help to ensure that the sorting results more closely reflect the DM's intrinsic preferences. A case study in inventory classification is carried out to demonstrate the efficacy of the proposed method.
Keywords: Multiple criteria sorting; sequential sorting; cardinal and ordinal criteria; data envelopment analysis; inventory classification..
Mathematics Subject Classification: Primary: 90B50, 91B06; Secondary: 90B0.
Citation: Ye Chen, Keith W. Hipel, D. Marc Kilgour. A multiple criteria sequential sorting procedure. Journal of Industrial & Management Optimization, 2008, 4 (3) : 407-423. doi: 10.3934/jimo.2008.4.407
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