基于TODIM的多阶段三角模糊数双边匹配决策方法
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国家自然科学基金资助项目(71801090);教育部人文社科规划基金资助项目(19YJA631071);湖南省哲学 社会科学基金资助重点项目(18ZDB009);湖南省自然科学基金资助项目(1020JJ1264,1021JJ31225); 湖南省教育厅优秀青年基金资助项目(20B180,21B1553)


TODIM-Based Multi-Stage Triangular Fuzzy Number Bilateral Matching Decision Making Method
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    摘要:

    针对多阶段情形下的三角模糊数双边匹 配决策问题,基于新型距离测度和TODIM方法提出一种考虑多阶段的匹配决策方法。首先,针对现有三角模糊数距离测度的不足,提出一种三角模糊数新型距离测度;其次,给出阶段属性权重未知、阶段时间权重未知的多阶段双边匹配决策问题的数学描述;再次,利用三角模糊数的新型距离计算得到期望水平与评价信息之间的损益矩阵,利用三角模糊数的综合熵值构建优化模型求取阶段属性权重,利用衰减法计算阶段时间权重,利用TODIM方法构建综合优势度矩阵,利用极差变化法构建满意度矩阵。通过最大化满意度构建双边匹配模型,并通过求解模型得到匹配结果。最后,以风险投资商和企业的投资为例,验证了所提出匹配决策方法的可行性和有效性。

    Abstract:

    In view of solving the multi-stage triangular fuzzy number bilateral matching decision problem, a multi-stage matching decision method has thus been proposed based on the new distance measure and TODIM method. Firstly, a new distance measure of triangular fuzzy numbers is adopted aimed at the shortcomings of the current distance measure of triangular fuzzy numbers. Secondly, the mathematical description has been made of the multi-stage lateral matching decision making problem with the unknown stage attribute weight and unknown stage time weight provided. Thirdly, the profit and loss matrices between the desired level and evaluation information can be obtained by calculating the new distance measure of triangular fuzzy numbers, followed by a construction of an optimization model by using the triangle fuzzy number comprehensive entropy, thus working out the stage attribute weights; the stage time weights are calculated by using attenuation method, with the comprehensive dominance matrices developed adopting the TODIM method, and with the satisfaction matrices built using the range variation method. Furthermore, a bilateral matching model is constructed by maximizing satisfaction degrees with the match results obtained by solving this model. Finally, the feasibility and effectiveness of the proposed matching decision method can be verified by taking the investment of venture capitalists and enterprises as an example.

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刘 超,汪新凡,隆丽兰.基于TODIM的多阶段三角模糊数双边匹配决策方法[J].湖南工业大学学报,2023,37(3):89-.

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  • 收稿日期:2022-07-30
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  • 在线发布日期: 2023-05-10
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