AHP ultra weight for simulation credibility evaluation
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摘要: AHP(Analytic Hierarchy Process)法在仿真可信度评估中经常使用,但传统的AHP法不能解决可信度评估结果的阶跃问题.为了解决这一问题,在明确了阶跃问题的主因是AHP相对权重的缺陷后,参考Petri网的相关定义,建立了AHP网的概念和数学基础;针对传统AHP相对权重的缺陷,进一步提出了增强型AHP网及相关定义、图例等;在网络定义的基础上,提出了AHP超越权重的概念及其数学表达式;确定了含有超越权重的AHP网节点取值算法和评估节点优先级算法;提供了一个应用AHP超越权重的仿真可信度评估实例,并获取了量化的评估结果.计算结果表明:含有超越权重的AHP体系能够解决可信度评估结果的阶跃问题.
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关键词:
- 层次分析法(AHP) /
- 仿真可信度评估 /
- 阶跃问题 /
- AHP网 /
- 超越权重
Abstract: Analytic hierarchy process (AHP) is widely applied to simulation systems credibility evaluation, but the traditional AHP can not solve the step problem of credibility evaluation result. In order to resolve this problem, the main cause of step problem was pointed out to be AHP relative weight-s fault. With the reference of Petri net definitions, the AHP net concepts and mathematical basis were proposed. To the question of traditional AHP relative weight-s fault, the enhanced AHP net and its definitions, legends etc. were established. Based on the net definitions, the AHP ultra weight concept and mathematical expression were proposed. The evaluation node value and priority algorithm of AHP net with ultra weight were determined. A simulation credibility evaluation example was given and the numerical evaluation result was obtained. The result proves that, the AHP system with ultra weight can resolve the step problem of credibility evaluation result well. -
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