A Two-Sided Matching Decision Model Based on Uncertain Preference Sequences
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-09
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Liu, Xiao& Ma, Huimin. 2015. A Two-Sided Matching Decision Model Based on Uncertain Preference Sequences. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1073303
Modern Language Association (MLA)
Liu, Xiao& Ma, Huimin. A Two-Sided Matching Decision Model Based on Uncertain Preference Sequences. Mathematical Problems in Engineering No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1073303
American Medical Association (AMA)
Liu, Xiao& Ma, Huimin. A Two-Sided Matching Decision Model Based on Uncertain Preference Sequences. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1073303
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073303