基于模糊层次分析法的群体决策理论及其应用研究

项目名称： 基于模糊层次分析法的群体决策理论及其应用研究

项目编号： No.71201037

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： 刘芳

作者单位： 广西大学

项目金额： 19万元

中文摘要： 随着社会经济的发展，群体决策理论、方法与应用研究已经引起人们极大的关注。然而，由于现实环境的复杂性和人类判断的模糊性，决策者的偏好信息采用区间数、三角模糊数和梯形模糊数等不确定数来表示更加自然合理，经典的层次分析法有待扩展为模糊层次分析法。目前基于模糊层次分析法的群体决策理论与应用有待进一步研究，其中判断矩阵的一致性是研究的难点和热点。 本项目研究基于模糊层次分析法的群体决策理论及其应用。主要有：（1）应用物理心理学和逻辑关系研究不确定数判断矩阵的一致性问题，采用试探的方式找到综合矩阵的一致性条件，解决含有不同类型不确定数判断矩阵的群体决策问题；（2）采用一致性定义和最优化理论建立残缺不确定数判断矩阵中残缺信息估计的数学模型，解决含有残缺不确定数判断矩阵的群体决策问题；（3）新的群体决策理论在科技项目评估中的应用。研究成果将完善模糊层次分析法，丰富群体决策理论，为决策者提供理论依据。

中文关键词： 群体决策；模糊层次分析法；科技项目评估；一致性；排序

英文摘要： With the socio-ecomomic development, one has paid much attention to theories, methodology and applications of group decision making. However, due to the complexity of real-world and the fuzziness of man decision, it is more natural and reasonable for the decision maker to evaluate his/her judgements by using interval numbers,triangular fuzzy numbers and trapezoidal fuzzy numbers and so on. So the analytic hierarchy process (AHP) will be extended to the Fuzzy AHP. Group decision making based on Fuzzy AHP should be further studied since the corresponding research work is very few. The consistency study of preference relations is a main issue of group decision making. Based on FAHP, here we study group decision making problems and their applications. Firstly, the consistency analysis of uncertain preference relations are made by making use of physical psychology and logical relation. One finds the conditions of consistent socail preference relations by probing. So the group decision making problems are addressed when the decision makers give different type of uncertain preference relations. Secondly, based on the consistency and optimization theories, some models for evaluating incomplete information in incomplete uncertain preference relations are proposed. Group decision problems are further investigated whe

英文关键词： Group decision making；FAHP；Evaluation of science and technology project；Consistency；Ranking