基于区间直觉模糊集的双边匹配决策模型及应用  

Two-sided Matching Decision-making Method and Application Based on Interval-valued Intuitionistic Fuzzy Environment

作　　者：李沃源[1] 乔剑敏 LI Wo-yuan;QIAO Jian-min(School of Public Management,Inner Mongolia University,Huhhot 010021,China;School of Science,Inner Mongolia Agricultural University,Huhhot 010018,China)

机构地区：[1]内蒙古大学公共管理学院,内蒙古呼和浩特010021 [2]内蒙古农业大学理学院,内蒙古呼和浩特010018

出　　处：《模糊系统与数学》2021年第3期71-77,共7页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(71904092);教育部人文社会科学研究项目(18YJC630077);内蒙古自治区自然科学基金资助项目(2018BS07002);内蒙古农业大学基础学科科研启动基金资助项目(JC2018005);内蒙古农业大学教育教学改革项目(JGYB201953)。

摘　　要：许多经济管理活动中都涉及到双边匹配决策问题。由于双方主体决策过程中的复杂性,很多情况下的双方主体决策信息是模糊的。基于此,本文给出在区间直觉模糊环境下利用得分函数建立双边匹配模型的决策方法。在该方法中,首先将区间直觉模糊集矩阵转化为得分函数矩阵;然后以双边主体满意度最大为目标,构建了基于得分函数矩阵和匹配矩阵的双边匹配模型;通过求解该模型得到最优的匹配决策方案。最后,通过一个实例说明所提方法的可行性和有效性。Two-sided matching problem is widespread in economic society.Due to the complexity and fuzziness of the external environment of two-sided agents,the decision information maybe given in the form of fuzzy sets.In view of this,this paper presents a decision method to establish the two-sided matching model by using score function in interval intuitionistic fuzzy environment.In order to solve this problem,firstly,the interval-valued intuitionistic fuzzy set matrixes are transformed into score matrixes.To maximize the satisfaction of each agent,a two-sided matching model under the score matrixes and matching matrixes is developed.The"optimization"two-sided matching can be obtained by solving the model.Lastly,the feasibility and effectiveness of the proposed two-sided matching decision are illustrated with an example.

关 键 词：决策 双边匹配 区间直觉模糊集 得分函数 

分 类 号：C934[经济管理—管理学]