含直觉模糊数的物流供应链合作伙伴优选

The Selection of Logistics Supply Chain Cooperators by Evaluation Values with Intuitionistic Fuzzy Numbers

为了更加真实地反映物流供应链合作伙伴选择中出现的模糊不确定性,首先,将无法用精确实数表示的物流供应链合作伙伴评价值用语言变量和直觉模糊数表示,通过语言变量与三角形直觉模糊数之间的转化关系,将语言变量评价值转化为三角形直觉模糊数;然后,基于TOPSIS法和波达选择函数,给出评价值包含三角形直觉模糊数的多目标多人决策方法;最后,用物流供应链合作伙伴优选的数学算例验证该方法的有效性。结果表明,该方法能很好地解决物流供应链合作伙伴优选过程中评价指标的评价值无法用精确实数表示及多人参与决策时决策者的权重缺失的问题。

In order to reflect more realistically the fuzziness and uncertainty, linguistic variables and intuitionistic fuzzy numbers are usually used to express the evaluation values in the process of logistics supply chain cooperator selection. In this paper, Firstly, the connection between linguistic variables and triangular intuitionistic fuzzy numbers is given, and linguistic variables of logistics supply chain cooperator selections are transformed into triangular intuitionistic fuzzy numbers according to certain relationship. Moreover, based on the TOPSIS method and the Borda choice function, one model is proposed for solving multi-objective many-person decision making problems whose attribute values include triangular intuitionistic fuzzy numbers. Finally, a mathematical calculation about the selection of logistics supply chain cooperator is given to exemplify its applications. The proposed method can be applied to the problem of logistics supply chaincooperator selection where the evaluation values are not suitable to be expressed with real numbers. Moreover, it can efficiently solve the decision making problems which are lacking in the weight of decision makers.