【作者】 黄奇成；

【导师】 魏翠萍；

【作者基本信息】 曲阜师范大学 ， 运筹学与控制论， 2007， 硕士

【摘要】 本文主要对模糊数判断距阵的排序方法和模糊群体决策问题进行了探讨，共分三章。第一章，主要介绍了决策理论的基本概念及其发展、研究现状和本文的主要研究成果。第二章，对区间数判断矩阵，给出了一种求其规范化区间数权重向量的优化方法—区间数最小偏差法(ILDM)，将该方法与区间回归分析法、目标规划法进行了比较；并把该方法推广到求数值型判断矩阵、三角模糊数判断矩阵的区间数权重向量及群体决策的合成权重向量。最后，通过实例说明了该方法的可行性和有效性。第三章，为了解决群体决策过程中，众多决策者的评价效用值间差异较大的问题，本文对以三角模糊数作为表达评价意见的群组决策问题，提出了一种群组决策合成的快捷算法；分析并且证明了该算法的收敛性，为各个专家的评价效用值不存在交集的群体决策问题提供了一种合理的解决思路。最后，进行算例分析。更多还原

【Abstract】 This thesis deals with the priority method from fuzzy comparison matrix and fuzzy group decison making problem. It consists of three chapters.In the first chapter, we mainly introduce the origin and current research situations of decision making problems. Furthermore, we list the main contribution of this paper.In the second chapter, an interval least deviaton method (ILDM) is proposed to obtain normalized interval weights vector from an interval comparison matrix. On the base of these theory, comparisons with an interval regression analysis method and a goal programming method are also made. The proposed ILD method is also applicable to crisp comparison matrices、triangular fuzzy comparison matrices and the group decision making problem. Finally, an illustrative example is given to demonstrate the feasibility and effectiveness of the presented method.In the third chapter, based on using triangular fuzzy number to represent eva-lution opinion, a new algorithm is proposed for aggregating individual fuzzy options into a group fuzzy opinion, resolving tremendous discrepancy among many evaluations in group decision making. The convergence of the algorithm is also introduced and proved. The method provides a resonable thread of group decision making with nonexsitence intersection of the various experts assessment utilities. Finally, an example is presented to illustrate the method.更多还原