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Bipartite Matching with Incomplete Ordinal Relations Considering Matching Aspirations

[ Vol. 11 , Issue. 3 ]

Author(s):

Qi Yue, Yongshan Peng, Bingwen Yu and Yu Hong*   Pages 297 - 302 ( 6 )

Abstract:


Background: A new methodology is developed for bipartite matching decision, in which preferences of the agents from two sides are incomplete ordinal relations and matching aspirations. The bipartite matching problem with incomplete ordinal relations and matching aspirations is firstly provided.

Methods: In the presented methodology, the incomplete ordinal relations are translated to the incomplete Borda counting matrixes, and matching aspirations are determined based on theory analysis. According to the incomplete Borda counting matrixes, the matching aspiration matrix, a bipartite matching model under the condition of one-to-one matching is developed.

Results: The bipartite matching scheme can be obtained by solving the matching model.

Conclusion: In the end, an example is used to illustrate the application of the presented methodology.

Keywords:

Bipartite matching, incomplete ordinal relation, matching aspiration, Borda counting, model, venture - capital.

Affiliation:

School of Information Management, Jiangxi University of Finance and Economics, Nanchang, 330013, School of Physical Education, Jiangxi University of Finance and Economics, Nanchang 330013, School of Economics, Jiangxi University of Finance and Economics, Nanchang 330013, College of Humanities and Sciences, Northeast Normal University, Changchun 130117

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