基于三角直觉模糊数信息的双边匹配决策

Two-sided Matching Decision Based on TriangularIntuitionistic Fuzzy Number Information

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。

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.