WC-OWA算子的拓展及其在风险型多属性决策中的应用

研究WC-OWA算子的拓展形式,得到了一些新的数据集成算子,并对其性质进行了研究。在此基础上,探讨属性值以区间形式给出的风险型多属性决策的方法,并用实例进行分析说明该方法的可行性。

基于WC-OWA算子的随机多准则决策方法

针对准则权重信息不完全确定且准则值为正态分布随机变量的多准则决策问题,提出一种基于WC-OWA算子的多准则决策方法.该方法根据正态分布3σ原则,将正态分布准则值转化为区间数,并利用连续区间有序加权平均算子集结区间数,通过方案贴近度和加权的连续区间有序加权平均算子建立非线性规划模型,利用遗传算法对模型进行求解,得到准则的最优权系数,进而确定方案的排序.实例分析表明了所提出方法的有效性和可行性.

基于区间直觉模糊集的水环境治理PPP项目可持续性评价

对水环境治理PPP项目的可持续性进行科学客观的评价不仅关系着项目的顺利实施,而且对于PPP项目成功和实现我国水环境治理可持续发展具有重要意义。通过梳理文献,首先从经济、工程、项目公司管理、社会可持续和资源与环境可持续五个方面初步构建出了水环境治理PPP项目的可持续性评价指标体系,利用重要程度指数值对指标体系进行修正,构建出最终的评价体系;其次,采用区间直觉模糊集对水环境治理PPP项目的可持续性进行评价,运用WC-OWA算子并引入决策专家的风险偏好对指标进行去模糊化;最后,在采用熵权法计算指标权重的基础上确定可持续性最优的项目,并通过实例验证了该方法的可行性,为水环境治理PPP项目可持续性评价提供了一种可借鉴的算法。

Multi-criteria linguistic interval group decision-making approach

For group decision-making problems with linguistic assessment information, a new method based on two-tuple and WC-OWA operator is proposed, in which the criteria＇s weights and the decision-makers＇ preference information might take the form of linguistic grade, or might be between two continuous linguistic grades, or might be linguistic interval, or might be default. In this method, all linguistic values are transformed into two-tuple, and an aggregative decision-making matrix is obtained by using interval operation. The group aggregative values of each criterion on alternatives are computed by using a WC-OWA operator, the aggregative values on alternatives are worked out, and transformed into two-tuple. And the rank of the alternatives is obtained by using the order property of two-tuple. An example shows the feasibility and effectiveness of the proposed method.