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
摘要: 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。
Abstract: 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.
文章引用：陶媛, 乐琦, 黄鹤. 梯形直觉模糊偏好信息下的双边匹配决策[J]. 管理科学与工程, 2022, 11(4): 613-622. https://doi.org/10.12677/MSE.2022.114074

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