基于概率语言熵和交叉熵的多准则决策方法

概率语言术语集既包含语言术语,又包含语言信息的概率,使初始决策信息能够得到充分的利用,有利于提高语言术语集多准则决策的科学性.鉴于此,本文针对概率语言多准则决策问题,提出了一种基于概率语言熵和概率语言交叉熵赋权的多准则决策方法.首先考虑各准则下概率语言术语集的个体效应及其相互作用,利用概率语言熵和概率语言交叉熵计算准则的权重,然后采用将有向图和0-1优先关系矩阵相结合的概率语言术语集备选方案排序方法,更加直观地得到备选方案的排序结果并得到各方案之间的优劣程度.最后,以企业战略规划问题为例进行分析,通过对比分析验证了所提方法的有效性和优越性.

Probabilistic linguistic entropy and cross-entropy measures for multiple criteria decision making

The probabilistic linguistic term set (PLTS) in which each provided linguistic term has a probability, make the initial decision information can be fully utilized, to improve the scientificity of the multiple criteria decision making with linguistic term set. Taking this problem into account, this paper proposes a multiple criteria decision making method based on the probabilistic linguistic entropy and probabilistic linguistic cross entropy weighting method for probabilistic linguistic multiple criteria decision making environment. We first calculate the weights of the criteria by using probabilistic linguistic entropy and probabilistic linguistic cross entropy, considering both the single effect of each PLTS under each criterion and the interaction between any two PLTSs. Then, the probabilistic linguistic term set alternative queuing method (PLTS-AQM) combining with directed graph and 0-1 precedence relation matrix is developed to more intuitively get the ranking results of alternatives and their predominance degrees. Finally, an illustrative example solving a hypothetical enterprise strategy planning problem is shown and the comparison analysis with the existing methods is given to demonstrate the applicability and superiority of the proposed method.