基于多准则关联偏好信息的非可加测度确定方法

项目名称： 基于多准则关联偏好信息的非可加测度确定方法

项目编号： No.71201110

项目类型： 青年科学基金项目

立项/批准年度： 2013

项目学科： 管理科学与工程

项目作者： 武建章

作者单位： 石家庄经济学院

项目金额： 19万元

中文摘要： 非可加测度确定方法是基于非可加测度与模糊积分的关联多准则决策分析理论研究与实践应用的核心问题. 基于训练集的非可加测度确定方法有悖于多准则决策的正确逻辑过程, 本项目重点研究基于多准则关联偏好信息的非可加测度确定方法. 首先, 分析Shapley交互作用指标的实际决策含义, 探讨多准则关联偏好信息的辅助确定工具与规范表述形式. 然后, 研究基于多准则关联偏好信息的非可加测度确定方法与多准则决策分析方法, 并将其拓展到区间集、模糊集、直觉模糊集、区间直觉模糊集等领域. 最后, 利用数学编程软件Matlab, 研发以非可加测度确定方法为核心的关联多准则决策支持与分析系统.

中文关键词： 多准则关联偏好信息；非可加测度确定方法；多准则决策；；

英文摘要： The non-additive measure identification methods form the core of the theoretical research and the practical application of the non-additive measure and fuzzy integral based correlation multiple criteria decision analysis. Since the training set based non-additive measure identification methods do not follow the correct logical process of the multiple criteria decision making, we focus on the study of the non-additive measure identification methods based on the correlation preference information of the multiple criteria. Firstly, we analyze the practical meaning of the Shapley interaction indexes in decision making, and discuss the identification aid tools and the standard presentation forms of the correlation preference information of the multiple criteria. Secondly, we research into the non-additive measure identification methods and multiple criteria decision analysis processes based on the correlation preference information of the multiple criteria, and extend those methods and processes into the theoretical fields of the interval sets, fuzzy sets, intuitionistic fuzzy sets and interval intuitionistic fuzzy sets. Finally, by using the mathematical programming software Matlab, we develop the correlation multiple criteria decision support and analyses system with the non-additive measure identification methods

英文关键词： Multicriteria correlation preference information；Nonadditive measure identification method；Multicriteria decision making；；