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梯形直觉模糊偏好信息下的双边匹配决策
Two-Sided Matching Decision under the Condition of Trapezoidal Intuitionistic Fuzzy Preference Information

DOI: 10.12677/MSE.2022.114074, PP. 613-622

Keywords: 双边匹配决策,梯形直觉模糊数,双边匹配模型
Two-Sided Matching Decision
, Trapezoidal Intuitionistic Fuzzy Number, Two-Sided Matching Model

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Abstract:

本文的主要内容是在梯形直觉模糊数信息的基础上提供了一种双边匹配决策方式。在梯形直觉模糊数和双边匹配的理论的基础上,给出梯形直觉模糊双边匹配问题;以实现梯形直觉模糊满意度最大为目标,构建多目标双边匹配模型;根据梯形直觉模糊数的运算,通过利用梯形模糊数去模糊化方法以及线性加权法,对所建模型转化得到单目标模型;求解该模型,做出“最佳”匹配决策。最后结合普惠金融公司与小微企业的匹配的算例,说明所提双边匹配决策的可行性和实用性。
This paper creates a two-sided matching decision method based on the trapezoidal intuitionistic fuzzy number information. The two-sided matching problem with trapezoidal intuitionistic fuzzy numbers is described on the basis of the presented related theories of trapezoidal intuitionistic fuzzy numbers and two-sided matchings. Then, the multi-objective two-sided matching model to maximizing the satisfaction degrees of trapezoidal intuitionistic fuzzy numbers can be established. The multi-objective two-sided matching model can be transformed into a single-objective two- sided matching model according to the operational laws of trapezoidal intuitionistic fuzzy number, the defuzzification method of trapezoidal fuzzy number and the linear weighted method. Moreover, the “best” two-sided matching scheme can be determined through solving the model. The feasibility and utility of the displayed two-sided matching decision is explained by the matching example between inclusive finance companies and small micro-enterprises.

References

[1]  赵晓冬, 吕爱国, 誉琪. 基于组合分析的多边匹配决策分析方法[J]. 管理世界, 2017(5): 174-175.
[2]  Wu, J., Chiclana, F., Fujita, H. and Herrera-Viedma, E. (2017) A Visual Interaction Consensus Model for Social Network Group Decision Making with Trust Propagation. Knowledge-Based Systems, 122, 39-50.
https://doi.org/10.1016/j.knosys.2017.01.031
[3]  万树平, 李登峰. 具有不同类型信息的风险投资商与投资企业多指标双边匹配决策方法[J]. 中国管理科学, 2014, 22(2): 40-47.
[4]  汪兰林, 李登峰. 具有异质信息的风险投资商与投资企业双边匹配方法研究[J]. 数学的实践与认识, 2018, 48(7): 43-55.
[5]  Xu, X.K., Wang, C., Zeng, Y., et al. (2015) Matching Service Providers and Customers in Two-Sided Dynamic Markets IFAC-PapersOnLine, 48, 2208-2213.
https://doi.org/10.1016/j.ifacol.2015.06.416
[6]  Laurens, C., Thomas, D., Bram, D.R., et al. (2017) Household Consumption When the Marriage Is Stable. American Economic Review, 107, 1507-1534.
https://doi.org/10.1257/aer.20151413
[7]  单晓红, 王非, 何喜军, 蒋国瑞. 基于稳定双边匹配的供应链产销合作研究[J]. 计算机工程与运用, 2016, 52(23): 260-265.
[8]  Gale, D. and Shapley, L.S. (1962) College Admissions and the Stability of Marriage. American Mathematical Monthly, 69, 9-15.
https://doi.org/10.1080/00029890.1962.11989827
[9]  Roth, A.E. (1986) On the Allocation of Residents to Rural Hospitals: A General Property of Two-Sided Matching Markets. Econometrica, 54, 425-427.
https://doi.org/10.2307/1913160
[10]  Van Raalte, C. and Webers, H. (1998) Spatial Competition with Intermediated Matching. Journal of Economic Behavior & Organization, 34, 477-488.
https://doi.org/10.1016/S0167-2681(97)00080-2
[11]  Yashiv, E. (2007) Labor Search and Matching in Macroeconomics. European Economic Review, 51, 1859-1895.
https://doi.org/10.1016/j.euroecorev.2007.06.024
[12]  Roth, A.E. (2012) Two-Sided Matching: A Study in Game-Theoretic Modeling and Analysis. Games & Economic Behavior, 4, 510-514.
[13]  李铭洋, 樊治平. 考虑双方主体心理行为的稳定双边匹配方法[J]. 系统工程理论与实践, 2014, 34(10): 2591-2599.
[14]  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.
[15]  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.
[16]  Chen, P., Egesdal, M., Pycia, M., et al. (2016) Median Stable Matchings in Two-Sided Markets. Games and Economic Behavior, 97, 64-69.
https://doi.org/10.1016/j.geb.2016.03.004
[17]  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.
[18]  Lee, R.S. and Schwarz, M. (2017) Interviewing in Two-Sided Matching Markets. RAND Journal of Economics, 48, 835-855.
https://doi.org/10.1111/1756-2171.12193
[19]  Lakshmana, G.N.V., Jeevaraj, S. and Dhanasekaran, P. (2016) A Linear Ordering on the Class of Trapezoidal Intuitionistic Fuzzy Numbers. Expert Systems with Applications, 60, 269-279.
https://doi.org/10.1016/j.eswa.2016.05.003
[20]  Li, X.H. and Chen, X.H. (2018) Value Determination Method Based on Multiple Reference Points under a Trapezoidal Intuitionistic Fuzzy Environment. Applied Soft Computing, 63, 39-49.
https://doi.org/10.1016/j.asoc.2017.11.003
[21]  Kahraman, C., Cebi, S., Onar, S.C. and Oztaysi, B. (2018) A Novel Trapezoidal Intuitionistic Fuzzy Information Axiom Approach: An Application to Multicriteria Landfill Site Selection. Engineering Applications of Artificial Intelligence, 67, 157-172.
https://doi.org/10.1016/j.engappai.2017.09.009
[22]  Liu, J.C. and Zhao, W.J. (2016) Cost-Sharing of Ecological Construction Based on Trapezoidal Intuitionistic Fuzzy Cooperative Games. International Journal of Environmental Research and Public Health, 13, 1-12.
https://doi.org/10.3390/ijerph13111102
[23]  Govindan, K., Jepsen, M.B. and Brandt, M. (2016) Supplier Risk Assessment Based on Trapezoidal Intuitionistic Fuzzy Numbers and ELECTRE TRI-C: A Case Illustration Involving Service Suppliers. Journal of the Operational Research Society, 67, 339-376.
https://doi.org/10.1057/jors.2015.51
[24]  Wan, S.P. and Dong, J.Y. (2015) Power Geometric Operators of Trapezoidal Intuitionistic Fuzzy Numbers and Application to Multi-Attribute Group Decision Making. Applied Soft Computing, 21, 28-47.
[25]  Cheng, C.H. (1998) A New Approach for Ranking Fuzzy Numbers by Distance Method. Fuzzy Sets and Systems, 95, 307-317.
https://doi.org/10.1016/S0165-0114(96)00272-2
[26]  Chen, S.H., Wang, S.T. and Chang, S.M. (2006) Some Properties of Graded Mean Integration Representation of L-R Type Fuzzy Numbers. Tamsui Oxford Journal of Mathematical Sciences, 22, 185-208.
[27]  Gale, D. (2001) The Two-Side Matching Problem: Origin, Development and Current Issues. International Game Theory Review, 3, 237-252.
https://doi.org/10.1142/S0219198901000373
[28]  Yue, Q. (2022) Bilateral Matching Decision-Making for Knowledge Innovation Management Considering Matching Willingness in an Interval Intuitionistic Fuzzy Set Environment. Journal of Innovation & Knowledge, 7, Article ID: 100209.
https://doi.org/10.1016/j.jik.2022.100209
[29]  乐琦. 直觉模糊环境下考虑匹配意愿的双边匹配决策[J]. 中国管理科学, 2017, 25(6): 161-168.

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