基于三角直觉模糊数信息的双边匹配决策

doi:10.12005/orms.2021.0009

运筹与管理 ›› 2021, Vol. 30 ›› Issue (1): 57-62.DOI: 10.12005/orms.2021.0009

基于三角直觉模糊数信息的双边匹配决策

乐琦, 朱加贵

江西财经大学信息管理学院,江西南昌 330013

收稿日期:2017-01-05 出版日期:2021-01-25
作者简介:乐琦(1983-),男,江西东乡人,博士,教授,研究方向:决策理论与方法;朱加贵(1990-),男,云南宣威人,硕士研究生,研究方向:决策理论与方法。
基金资助:
国家自然科学基金资助项目(71861015);教育部人文社会科学基金项目(18YJA630047);江西省杰出青年人才资助项目(20192BCBL23008)

Two-sided Matching Decision Based on Triangular Intuitionistic Fuzzy Number Information

YUE Qi, ZHU Jia-gui

School of Information Management, Jiangxi University of Finance and Economics, Nanchang 330013, China

Received:2017-01-05 Online:2021-01-25

摘要/Abstract

摘要： 本文研究了基于三角直觉模糊数信息的双边匹配问题。给出了三角直觉模糊数和双边匹配的相关理论;以实现每个主体三角直觉模糊满意度最高为目标,考虑到一对一双边匹配约束,构建了多目标双边匹配模型;运用线性加权法和三角模糊数重心法,将多目标双边匹配模型转化为单目标双边匹配模型;进而通过求解该模型获得“最佳”双边匹配方案。风险投资者和风险投资企业的匹配算例证明了所提双边匹配决策的可行性和实用性。

关键词: 双边匹配决策, 三角直觉模糊数, 重心法, 双边匹配模型

Abstract: The two-sided matching problem based on triangular intuitionistic fuzzy number information is studied. First, the theories on triangular fuzzy numbers and two-sided matchings are given. Then, the multi-objective two-sided matching model under the constraint of one-to-one two-sided matching is established, where the triangular intuitionistic fuzzy number satisfaction degrees of agents are the objective functions. The multi-objective two-sided matching model can be transformed into a single-objective two-sided matching model by using the linear weighting method and the triangular fuzzy number centroid method. Moreover, the “best” two-sided matching scheme can be obtained through solving the single-objective two-sided matching model. The feasibility and practicability of the proposed two-sided matching decision is proved by the matching example between venture capitalists and venture capital enterprises.

Key words: two-sided matching decision, triangular intuitionistic fuzzy number, two-sided matched modelcentroid method

中图分类号:

C934

乐琦, 朱加贵. 基于三角直觉模糊数信息的双边匹配决策[J]. 运筹与管理, 2021, 30(1): 57-62.

YUE Qi, ZHU Jia-gui. Two-sided Matching Decision Based on Triangular Intuitionistic Fuzzy Number Information[J]. Operations Research and Management Science, 2021, 30(1): 57-62.

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基于三角直觉模糊数信息的双边匹配决策

Two-sided Matching Decision Based on Triangular Intuitionistic Fuzzy Number Information

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