主客观组合赋权的灰色决策模型及其在消费者决策中的运用

Grey Decision-making Model Based on the Combinational Evaluation of Subjective and Objective Weighting Method and Its Application in Consumer Decision-making

现实中许多抽象系统的数值并不能精确地得到,在多属性决策过程中,其属性值多以模糊数或者区间灰数的形式表示,属性权重也受到主观因素和客观因素的影响,针对此类问题,以属性值为区间灰数的多属性决策问题为出发点,采用主客观结合的赋权方式,提出了基于区间距离的灰色相对关联度分析方法,构建了灰色决策模型,并通过消费者决策实例进行了分析,模型是对传统灰色决策模型的拓展,具有更广泛的应用性和实用性.

In real life,the numerical value of abstract system can not be accurately obtained.In a multi-attribute decision-making process,most of the properties values are expressed in the form of fuzzy numbers or interval gray number,and the weight index is influenced by subjective and objective factor.To solve this problem,we propose a grey decision-making model based on the grey value of the relative relational degree,using the combinational evaluation of subjective and objective weighting method.Also,an example of consumer decision-making is analyzed in order to state our theory.This model is the extension to the traditional grey relational degree model and is with more scalable applicability and practicability.