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OWA算子赋权新方法 被引量:86

A New Method of Giving OWA Weights
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摘要 对于如何对决策数据给出合理的权重,介绍基于OWA算子理论的两种赋权的方法.提出两种赋权的方法.由于组合数和整数联系相关的,提出一种新颖的基于组合数给出OWA算子权重的方法;由于正态分布的良好性质,从已知的OWA算子赋权方法出发,提出一种与决策数据关联紧密的赋权的方法,也给出这两种方法的简单分析.最后通过算例对该法进行说明和分析. Aim at the problem-how to assign the reasonable weights to the input data, two methods of giving weights based on the theory of OWA are introduced. Also an entirely new method based on combination is raised. Owing to good quality of Normal Distribution, a method of giving weights relating closely with data is proposed based on a former method, a primary analysis on these two methods is also included in the paper. Finally, a numerical example is given to illustrate and analyze the proposed approach.
作者 王煜 徐泽水
出处 《数学的实践与认识》 CSCD 北大核心 2008年第3期51-61,共11页 Mathematics in Practice and Theory
基金 国家自然科学基金(70571087)
关键词 决策 决策数据 权重 组合数 正态分布 decision-making decision data weight combination normal distribution
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参考文献5

  • 1Yager R R. Families of OWA operators[J]. Fuzzy Sets and Systems, 1993,59:125-148.
  • 2Yager R R. On ordered weighted averaging aggregation operators in multicriteria decision making [J]. IEEE Transactions on Systems, Man, and Cybernetics, 1988,18 : 183-190.
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  • 4Xu Z S. An Overview of methods for determining OWA weights[J]. International Journal of Intelligent Systems, 2005,20:843-865.
  • 5Xu Z S. Dependent OWA operators[J].Lecture Notes in Artificial Intelligence,2006,3885,172-178.

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