The two-sided matching problem has always been concerned by the scholars in the fields of economic management and so on. Due to the complexity and fuzzy uncertainty of objective things, the preferences given by two-sided agents are in the format of intuitionistic fuzzy sets sometimes. The two-sided matching decision problem based on intuitionistic fuzzy sets and matching aspirations is an urgent need research new topic in psychology and decision science with rich actual backgrounds, and still has forward position and exploration. The theory of intuitionistic fuzzy set has been widely applied in the field of decision, but the application in the field of two-sided matching decision are relatively rare. Therefore, how to introduce the related theories of intuitionistic fuzzy set and matching aspiration into the two-sided matching decision problem and develop scientific and effective decision method have important theoretical significance and practical application value with respect to the research on two-sided matching decision. In this paper, the two-sided matching problem is investigated based on intuitionistic fuzzy sets and matching aspirations. The concepts of intuitionistic fuzzy set and two-sided matching are firstly introduced. Then, the two-sided matching problem based on intuitionistic fuzzy sets and matching aspirations is described. In order to solve this problem, the intuitionistic fuzzy set matrixes are transformed into score matrixes. Based on score matrixes and matching matrixes, a two-sided matching model considering scores under the constraint conditions of one-to-one two-sided matching is developed. Moreover, the score deviations and the score reciprocal-deviations are calculated based on score matrixes. Then the matching aspiration matrix can be calculated by using the maximum score reciprocal-deviation principle. The two-sided matching model considering scores is converted into a two-sided matching model considering scores and matching aspirations according to the matching aspiration matrix. The “optimal” two-sided matching can be obtained by solving the model. Lastly, the feasibility and effectiveness of the proposed two-sided matching decision is illustrated with an example of technology supply-demand matching. The research achievements of this paper develop and prefect the decision theories and methods for two-sided matching based on intuitionistic fuzzy sets and matching aspiration. But this paper discussed preliminarily this case that the preferences of two-sided agents are intuitionistic fuzzy sets. When the preferences of two-sided agents are in the format of interval-valued intuitionistic fuzzy sets, triangular intuitionistic fuzzy numbers, or trapezoidal intuitionistic fuzzy numbers in the two-sided matching problem, the above problem has yet to be further researched and explored.
YUE Qi
. Two-sided Matching Decision Considering Matching Aspiration under the Intuitionistic Fuzzy Circumstance[J]. Chinese Journal of Management Science, 2017
, 25(6)
: 161
-168
.
DOI: 10.16381/j.cnki.issn1003-207x.2017.06.017
[1] Ishida Y, Hashimoto S. Asymmetric characterization of diversity in symmetric stable marriage problems: An example of agent evacuation[J]. Procedia Computer Science, 2015, 60: 1472-1481.
[2] Byun J, Jang S. Effective destination advertising: Matching effect between advertising language and destination type[J]. Tourism Management, 2015, 50:31-40.
[3] Liu Qijun, Peng Yaping. Corruption in college admissions examinations in China[J]. International Journal of Educational Development, 2015, 41: 104-111.
[4] Xu Xinkui, Wang Chun, Zeng Yong, et al.Matching service providers and customers in two-sided dynamic markets[J].IFAC-PapersOnLine, 2015, 48(3): 2208-2213.
[5] Gharote M, Patil R, Lodha S, et al. Assignment of trainees to software project requirements: A stable matching based approach[J]. Computers & Industrial Engineering, 2015, 87(9): 228-237.
[6] Gale D, Shapley L S. College admissions and the stability of marriage[J]. American Mathematical Monthly, 1962(1): 9-15.
[7] Zhang Xi, Tan C L. Handwritten word image matching based on Heat Kernel Signature[J]. Pattern Recognition, 2015, 48(11): 3346-3356.
[8] Trégouët T. Gender-based price discrimination in matching markets[J]. International Journal of Industrial Organization, 2015, 42(9): 34-45.
[9] Tewari G, Youll J, Maes P. Personalized location based brokering using an agent-based intermediary architecture[J]. Decision Support Systems, 2003, 34(2): 127-137.
[10] Yashiv E. Labor search and matching in macroeconomics[J]. European Economic Review, 2007, 51(8): 1859-1895.
[11] Ehlers L. Truncation strategies in matching markets[J]. Mathematics of Operations Research, 2008, 33(2): 327-335.
[12] 樊治平, 李铭洋, 乐琦. 考虑稳定匹配条件的双边满意匹配决策方法[J]. 中国管理科学, 2014, 22(4): 112-118.
[13] 樊治平, 乐琦. 基于完全偏好序信息的严格双边匹配方法[J]. 管理科学学报, 2014, 17(1): 21-34.
[14] 乐琦, 樊治平. 基于不完全序值信息的双边匹配决策方法[J]. 管理科学学报, 2015, 18(2): 23-35.
[15] 陈圣群, 王应明, 施海柳. 多属性匹配决策的等级置信度融合法[J]. 系统工程学报, 2015, 30(1): 25-33.
[16] 梁海明, 姜艳萍, 孔德财. 考虑偏好序的多满意稳定导向双边匹配决策方法[J]. 系统工程理论与实践, 2015, 35(6): 1535-1546.
[17] 乐琦. 基于序关系信息的双边匹配决策方法[J]. 系统工程学报, 2015, 30(5): 601-606.
[18] Atanassov K. Intuitionistic fuzzy sets[J].Fuzzy Sets and Systems, 1986, 20(1): 87-96.
[19] Zadeh L A. Fuzzy sets[J].Information and Control, 1965, 8(3): 338-356.
[20] Chen S M, Tan J M. Handling multicriteria fuzzy decision-making problems based on vague set theory[J]. Fuzzy Sets and Systems, 1994, 67(2): 163-172.
[21] 徐泽水.直觉模糊偏好信息下的多属性决策途径[J]. 系统工程理论与实践, 2007, 27(11), 62-71.
[22] 胡浩, 徐少华, 宋继冉, 等. 基于直觉模糊动态信息交互的多属性群决策模型[J]. 中南大学学报(自然科学版), 2015, 46(8):2923-2929.
[23] 蔡久顺, 张执国, 师鹏, 等. 基于直觉模糊多属性群决策的风险排序方法[J]. 工程数学学报, 2015, 32(5): 650-658.
[24] 林杨, 王应明. 考虑直觉模糊偏好关系的双边稳定匹配及应用[J].控制与决策, 2015, 30(12): 2212-2218.
[25] Gale D. The two-sided matching problem:Origin, development and current issues[J]. International Game Theory Review, 2001, 3(2-3): 237-252.
[26] Echenique F. What matchings can be stable? The testable implications of matching theory[J]. Mathematics of Operations Research, 2008, 33(3): 757-768.
[27] 王应明. 运用离差最大化方法进行多指标决策与排序[J]. 系统工程与电子技术, 1998, 20(7): 24-26.
