区间直觉模糊环境下一种基于前景理论的双边匹配决策方法  

A Two-sided Matching Decision-making Method Based on Prospect Theory in Interval Intuitionistic Fuzzy Environment

作　　者：乔剑敏 李沃源[2] QIAO Jian-min;LI Wo-yuan(School of Science,Inner Mongolia Agricultural University,Huhhot 010018,China;School of Public Management,Inner Mongolia University,Huhhot,010021,China.)

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

出　　处：《模糊系统与数学》2024年第3期153-161,共9页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(71904092,12161065);内蒙古自治区高等学校科学研究项目(NJZY22528);内蒙古农业大学基础学科科研启动基金项目(JC2018005);内蒙古自然科学基金面上项目(2022MS07014)。

摘　　要：本文给出一种决策环境为区间直觉模糊集并且考虑双方主体心理预期的双边匹配决策模型。首先,配匹双方的期望值以区间直觉模糊集形式给出;其次,将区间直觉模糊集矩阵转化为得分函数矩阵,并给出双方的损益矩阵;再次,根据前景理论计算双方的前景矩阵;在此基础上,构建了基于前景矩阵和匹配矩阵的双边匹配模型,通过加权法将多目标优化模型转化为单目标优化模型;最后,通过算例对所提方法的可行性与有效性加以验证。In this paper,we propose a two-sided matching decision-making model in which the decision-making environment is interval intuitionistic fuzzy sets and the psychological expectations of both parties are taken into account.First,the expected values of the matching parties are given in the form of interval intuitionistic fuzzy sets;Secondly,the interval intuitionistic fuzzy set matrix is transformed into the score function matrix,and the profit and loss matrix of both sides is given;Thirdly,the foreground matrix of both sides is calculated according to the foreground theory,and then the two-sided matching model based on the foreground matrix and the matching matrix is constructed The multi-objective optimization model is transformed into single-objective optimization model by weighted method;Finally,an example is given to verify the feasibility and effectiveness of the proposed method.

关 键 词：区间直觉模糊集 前景理论 双边匹配 

分 类 号：C934[经济管理—管理学]