# American Institute of Mathematical Sciences

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

## A multiple criteria sequential sorting procedure

 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.
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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