| 置换群与群决策的排序数估计 |
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| 引用本文： | 王明哲.置换群与群决策的排序数估计[J].华中科技大学学报(自然科学版),2000,28(9):7-9. |
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| 作者姓名： | 王明哲 |
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| 作者单位： | 华中理工大学控制科学与工程系 |
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| 摘 要： | 在决策方案优劣等级排序分析和多层序等价类划分的基础上,构造了等级排序置换群,并提出了群决策中序位相同的可能排序数的解析和递推估计式.分析结果显示,注重维护决策方案的齐次性和协调决策者的意见冲突是提高群偏好集结有效性的重要方法.
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| 关 键 词： | AHP群决策 排序置换群 置换群共轭类 排序数估计 |
| 文章编号： | 1000-8616(2000)09-0007-03 |
| 修稿时间： | 1999年10月16 |
Permutation Groups and Evaluation of Ranking Number in Group Decision Making |
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| Abstract: | Based on the analysis of preference rankings in decision alternatives and decomposition of the deferent order equivalence classes, a ranking permutation group has been established. The analytic and recursive formulae for the evaluation of the possible ranking number with some order agreements in group decision making have been provided. It is shown that to maintain homogeneity in alternatives and negotiate conflicts in group are important ways to aggregate the preference rankings of individuals into a valid group consensus ranking. |
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| Keywords: | AHP group decision making ranking permutation group permutation group conjugate classes ranking number evaluation |
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