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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 241379, 10 pages
http://dx.doi.org/10.1155/2015/241379
Research Article

A Two-Sided Matching Decision Model Based on Uncertain Preference Sequences

School of Management, Huazhong University of Science and Technology, Wuhan 430074, China

Received 28 February 2015; Revised 23 May 2015; Accepted 28 May 2015

Academic Editor: Kyandoghere Kyamakya

Copyright © 2015 Xiao Liu and Huimin Ma. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Two-sided matching is a hot issue in the field of operation research and decision analysis. This paper reviews the typical two-sided matching models and their limitations in some specific contexts, and then puts forward a new decision model based on uncertain preference sequences. In this model, we first design a data processing method to get preference ordinal value in uncertain preference sequence, then compute the preference distance of each matching pair based on these certain preference ordinal values, set the optimal objectives as maximizing matching number and minimizing total sum of preference distances of all the matching pairs under the lowest threshold constraint of matching effect, and then solve it with branch-and-bound algorithm. Meanwhile, we take two numeral cases as examples and analyze the different matching solutions with one-norm distance, two-norm distance, and positive-infinity-norm distance, respectively. We also compare our decision model with two other approaches, and summarize their characteristics on two-sided matching.