基于概率不确定语言术语集和VIKOR法的多属性决策研究

Research on Multiple Attribute Decision Making Based on Probabilistic Uncertain Linguistic Variable Sets and VIKOR Method

将概率语言术语集概念中的语言术语推广到不确定语言变量,提出了概率不确定语言术语集的概念及其运算法则与基本性质,并在定义其得分值函数和精确函数的基础上,给出了任意两个概率不确定语言术语集之间的大小比较规则;然后,在运用概率不确定语言术语集刻画属性特征的背景下,利用多准则妥协解排序法,构建了多属性决策模型。最后,通过决策案例的计算,验证了该思想以及方法的可行性、有效性以及优越性。

In this paper,firstly,the concept of probabilistic uncertain linguistic variable sets(PULVS) and its algorithms and basic properties are proposed when it extends linguistic term to uncertain linguistic variable in probabilistic linguistic term sets,and on the basis of defining the score function and precise function,the comparison rules between two probabilistic uncertain linguistic variable sets are given;Then,under the background of describing attribute features with PULVS,the new PULVS-VIKOR attribute decision model is constructed by using the VIKOR multi-attribute decision method;Finally,through a calculation of decision case,the feasibility,effectiveness and superiority of the new idea and method are verified.