| 一种基于模糊互补判断矩阵的群体决策方法 |
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| 引用本文： | 赵攀,杨利峰.一种基于模糊互补判断矩阵的群体决策方法[J].阜阳师范学院学报(自然科学版),2006,23(4):33-36. |
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| 作者姓名： | 赵攀 杨利峰 |
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| 作者单位： | 1. 皖西学院,数理系,安徽,六安,237012
2. 阜阳师范学院,数学系,安徽,阜阳,236041 |
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| 摘 要： | 对群体决策中,偏好信息以偏好次序型给出的情形进行了分析.利用定义2.1可把每位决策者给出的偏好次序型偏好信息转化为该决策者的模糊互补判断矩阵,并证明了此模糊互补判断矩阵是模糊一致性互补判断矩阵,再利用群组互补判断矩阵的行和归一化,对决策方案进行排序择优,并说明了此排序方法是强条件下保序的,最后给出算例.
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| 关 键 词： | 偏好 排序 判断矩阵 模糊一致性互补判断矩阵 |
| 文章编号： | 1004-4329（2006）04-0011-04 |
| 收稿时间： | 2006-08-09 |
| 修稿时间： | 2006年8月9日 |
A Method for Group Decision-making Problems Based on Fuzzy Complementary Judgement Matrices |
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| ZHAO Pan,YANG Li-feng.A Method for Group Decision-making Problems Based on Fuzzy Complementary Judgement Matrices[J].Journal of Fuyang Teachers College:Natural Science,2006,23(4):33-36. |
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| Authors: | ZHAO Pan YANG Li-feng |
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| Institution: | 1. Mathematical and physical Department of West Anhui University,Anhui Luan 237012,China;2. Mathematical Department of Fuyang Teachers College, Anhui Fuyang 236032,China |
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| Abstract: | This paper first studies the preference information represented by means of preference ordering on group decision-making problems.By using the definition 2.1,prefererce ordering preference in formation of each decision maker can be transformed into his/her complementary judgement matrices .In this paper,it is prover that the complementary judgement matrices are fuzzy consistency judgement matrices.The normalizing rank aggregation method of group complementary judgement matrices is utilized to order alternatives.Finally,an algorithm example is given. |
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| Keywords: | preference priority judgement matrix fuzzy consistency judgement matrix |
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