S型隶属度函数在评估模型可信度中的应用
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摘要
隶属度函数是模糊综合评判法的关键问题,以评估舰艇作战态势判断模型的可信度为需要,采用系统分析方法确定该模型的指标体系,针对基于模糊综合评判的模型可信度评估方法的要求,构建了一种新的S型隶属度函数,通过数学原理证明了该函数的正确性,运用仿真工具验证了与实际隶属关系的一致性,总结了该隶属度函数的使用范围和条件,该隶属度函数对于作战决策和预测模型的可信度评估具有较好的适用性。
Membership function is the key problem of fuzzy comprehensive evaluation method. In order to assess the reliability of the model of warship combat situation assessment, the evaluation index of the model is analyzed and determined using the method of system analyzes. To match the requirements of reliability evaluation method based on fuzzy comprehensive evaluation method, a new S type membership function is built, and its correctness is proved by mathematical principle. Using the simulation tool, the consistency of the relationship with the actual membership is verified. By summarizing the conditions and scope of application of the membership function, it is found that the membership function can be used in evaluating the reliability of models such as decision-making models and prediction models of combat.
Membership function is the key problem of fuzzy comprehensive evaluation method. In order to assess the reliability of the model of warship combat situation assessment, the evaluation index of the model is analyzed and determined using the method of system analyzes. To match the requirements of reliability evaluation method based on fuzzy comprehensive evaluation method, a new S type membership function is built, and its correctness is proved by mathematical principle. Using the simulation tool, the consistency of the relationship with the actual membership is verified. By summarizing the conditions and scope of application of the membership function, it is found that the membership function can be used in evaluating the reliability of models such as decision-making models and prediction models of combat.
引文
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[2]唐见兵,查亚兵.作战仿真系统校核、验证与确认及可信度评估[M].北京:国防工业出版社,2013:144.
[3]谭亚新,王立国,杨学会,等.作战仿真可信性[M].北京:国防工业出版社,2014.:65.
[4]王洪利,冯玉强.基于灰色的改进白化模型及其在灰色决策中应用[J].黑龙江大学自然科学学报,2006,23(6):740-745.
[5]ROBERT F,HERBERT P.A systems approach to a verification and validation methodology within the FEDEP sixstep-process[C]//2001 Europe Computer Simulation Conference,Paper Number:01E-SIW-085.
[6]SIEGFRIED P,DIRK B.Representing results of V&V-activities in fuzzy decision analysis value trees[C]//2005European Computer Simulation Conference,Paper Number:05E-SIW-01269.
[7]ARAZY O,et al.Recognizing contributions in wikis:authorship categories,algorithms,and visualizations[J].Journal of the American Society for Information Science and Technology,2010,61(6):1166-1179.
[8]陈金玉,徐克虎,孔德鹏,等.混合多属性决策投影算法的装甲分队目标价值评估[J].火力与指挥控制,2015(4):59-62.
[9]翟慎涛,顾健,占科鹏.仿真模型可信度评估指标体系研究[J].系统仿真学报,2011(23):26-29.
[10]BRADE D M L.Asseeement criteria and VV levels in JP11.20[C]//Spring Simulation Interoperability Workshop,SIOS,Arlington,VA,2004.
[11]BALSOY O,JIN Y,AYDIN G.Automation metadata web service deployment for problem solving environments[J].Future Generation Comp.Syst,2005,21(6):910-919.
[12]梁保松,曹殿立.模糊数学及其应用[M].北京:科学出版社,2007:41-45.
[13]HERMANN C F.Validation problems in games and simulation with special reference to model of international politics[J].Behavioral Science,1967(3):216-231.
[14]WIGAN RM.The fitting calibration and validation of simulation models[J].Simulation,1972(1):32-38.
[15]ERNESTH P,BRADFORDS,CANOVA.A case study of verification,validation,and accreditation for advanced distributed simulation[J].ACM Transactions on Modeling and Computer Simulation,1997(11).