三角模糊数型多属性决策方法研究
毕业论文关键词：模糊多属性决策；权重；比重变化法；三角模糊数；群决策
Method of Multi-attribute Decision-making Based on
Triangular Fuzzy Number
Abstract：It mainly studies the weight are already known or unknown, scheme attribute value of triangular fuzzy number multi-attribute decision making problems in this article.According to known weights, and clear to quality-benefit type of triangle fuzzy decision problems, this article, by using fuzzy decision know- ledge such as definition, decision matrix, and the proportion of change, sorting preferred method to make research and analysis to its, and by calculate reliability judgment to prove.Second for weight unknown type of triangular fuzzy number multi-attribute group decision making problems, using knowledge, such as the decision matrix fusion fuzzy entropy, pergence area, and proposals with positive and negative ideal solution, the hamming approach degree between the sorting schemes sorting method of comprehensive index is given on the research. In the end, both the case study shows that the proposed decision method with pertinence, effectiveness and feasibility.
Key words：The fuzzy multiple attribute decision making; The weight; The proportion of change law; Triangular fuzzy number;Group decision making
目 录
摘要 1
引言 2
1.预备知识 4
2.单个专家的模糊多属性决策 7
2.1 问题描述 7
2.2 模糊决策矩阵 7
2.3 解决方法 8
2.4实例分析 8
3.多个专家的模糊多属性决策 10
3.1问题描述 10
3.2决策方法 10
3.3实例分析 13
4.总结 15
参考文献 17
致谢 19
三角模糊数型多属性决策方法研究
引言
决策是一个过程,人们选择某种可行性方案以达到某种目的或目标，其思想和方法已被人们所接受并应用于实践.目前,决策多分为多目标和多属性决策.其中，在数据系统、构建工程、决策科学等方面，多属性决策问题被越来越多的学者研究 .然而多属性决策的实际本质是利用现有的决策知识及信息，通过恰当的方法对一组备选方案进行排序筛选且择优 .之后的分析研究主要是针对多属性决策问题，包括对问题是效益型还是成本型的判断，进而利用新的方法对其进行分析证明.
另外,现已有大量关于模糊多属性(群)决策分析方法的研究.其中文献[12]针对只有局部属性权重信息且属性值以区间数形式给出的不确定多属性决策问题,提出一种逼近理想关联度的决策分析方法.文献[13]针对方案的属性评估信息和属性权重是模糊语言形式的多属性群决策问题,将语言信息转化为三角模糊数,利用三角模糊数的性质,构造集结决策者权威性和意见一致性的组合一致性指标,并给出一种模糊多属性群决策算法.曾三云[14]针对属性值为模糊变量,属性权重完全未知但已知方案优先序的模糊多属性决策问题给出新的决策方法.该方法通过建立一个线性目标规划模型来确定属性的权重,再基于简单加权平均法则来计算各方案模糊综合属性值,然后根据比较模糊变量大小的期望值方法对方案进行排序.
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