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. -
[1] Saaty T L.Modeling unstructured decision problems:a theory of analytical hierarchy //Proceedings of the 1st International Conference on Mathematical Modeling.St Louis,MO:University of Missouri-Rolla,1997,V1:59-77 [2] Forman E,Gass S.The analytic hierarchy process:an exposition[J].Operations Research,2001,49(4):469-486 [3] 高建军,白云.导引头伺服系统仿真的可信度评估[J].导弹与航天运载技术,2008(4):44-46 Gao Jianjun,Bai Yun.Research on modeling and simulation of servo system for radar seeker[J].Missle and Space Vehicle,2008(4):44-46(in Chinese) [4] 朱岩.基于AHP-Fuzzy的航电综合化仿真系统可信度评估[J].计算机测量与控制,2008,16(3):404-406 Zhu Yan.Credibility evaluation of avionics integrated simulation system based on AHP-fuzzy[J].Computer Measurement & Control,2008,16(3):404-406(in Chinese) [5] 杨惠珍,康凤举,李俊.基于模糊AHP的系统仿真可信度评估方法[J].计算机仿真,2008,20(8):43-45 Yang Huizhen,Kang Fengju,Li Jun.A fuzzy AHP method for credibility evaluation of system simulation[J].Computer Simulation,2008,20(8):43-45(in Chinese) [6] Bryson N,Joseph A.Generating consensus priority interval vectors for group decision making in the AHP[J].Journal of Multi-Criteria Decision Analysis,2000,9(4):127-137 [7] 吴哲辉.Petri网导论[M].北京:机械工业出版社,2006:1-103 Wu Zhehui.Petri theory[M].Beijing:Mechanism Industry Press,2006:1-103(in Chinese) [8] 刘莉,余宏明,程江涛.层次分析-模糊综合评价法在滑坡工程中的应用[J].三峡大学学报:自然科学版,2008,30(2):43-47 Liu Li,Yu Hongming,Cheng Jiangtao.Application of analytic hierarchy process-fuzzy comprehensive evaluation method to landslide engineering[J].Journal of China Three Gorges University:Natural Sciences,2008,30(2):43-47(in Chinese) -
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