基于正态分布优先集结算子的随机多准则群决策方法

Approach to Stochastic Multi-Criteria Group Decision Making Based on Normal Distribution Prioritized Aggregation Operator

对准则值为正态随机变量,而准则之间具有优先级别的随机多准则群决策问题进行了研究。首先,定义了一种集结正态分布数的优先加权平均(NDNPWA)算子,并给出了该算子的相关性质;进一步,基于NDNPWA算子和正态分布数加权算术平均(NDNWAA)算子,提出了一种准则值为正态随机变量,准则之间具有优先级别,而决策者之间不具有优先级别的随机多准则群决策方法。最后,通过实例分析表明,该方法具有可行性和有效性。

Investigates stochastic multi-criteria group decision making problems in which the criterion values are normal random variables and the criteria are in different priority levels. First, defines a new aggregation operator named normal distribution number prioritized weighted averaging（NDNPWA） operator and provides the relative properties of the operator. Furthermore, based on the NDNPWA operator and the normal distribution number weighted arithmetic averaging（NDNWAA） operator, proposes an approach for solving the stochastic multi-criteria group decision making problems in which the criterion values are normal random variables, the criteria are in different priority levels and the decision makers are not in different priority levels. Finally, presents an illustrative example to demonstrate the feasibility and effectiveness of the developed method.