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基于模糊Petri网的引航员作业舒适度评价
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作者 胡甚平 刘玲玲 +1 位作者 席永涛 张欣欣 《中国安全科学学报》 CAS CSCD 北大核心 2024年第4期67-76,共10页
为提高引航员的作业舒适度,提出一种基于模糊Petri网(FPN)的模糊推理算法(FRA)下的组合评价方法。首先,针对作业舒适度影响因子的不确定性信息,建立多因素耦合的FPN拓扑结构;然后,采用博弈论组合赋权法确定最优组合权重,提出融合层间相... 为提高引航员的作业舒适度,提出一种基于模糊Petri网(FPN)的模糊推理算法(FRA)下的组合评价方法。首先,针对作业舒适度影响因子的不确定性信息,建立多因素耦合的FPN拓扑结构;然后,采用博弈论组合赋权法确定最优组合权重,提出融合层间相关性判断临界重要性、层次分析法和FRA,建立基于主客观权重的FRA,通过迭代求解库所可信度和状态矩阵;最后,结合上海港船舶引航的场景数据,基于FPN的FRA应用,评价引航员作业舒适度。结果表明:环境与引航设备是影响其作业舒适度的关键因素,冬季和夏季的引航作业舒适度评价等级对应“较不舒适”,其中,5月份为“较舒适”。所提方法充分体现系统舒适度影响因素的耦合特性。 展开更多
关键词 模糊petri网(Fpn) 引航员作业 舒适度评价 模糊推理算法(FRA) 博弈论组合赋权
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基于STPA和FTPN的海上自主水面船舶航行实时风险评估
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作者 席永涛 刘鹏杰 +1 位作者 胡甚平 韩冰 《中国安全科学学报》 CAS CSCD 北大核心 2024年第8期18-26,共9页
为实时监测海上自主水面船舶(MASS)航行过程风险,基于系统理论事故模型与过程(STAMP)建立MASS的安全控制结构,采用系统理论过程分析法(STPA)确定损失/事故和系统级危险,识别不安全控制行为并分析损失场景,构建系统状态转化过程模型;采... 为实时监测海上自主水面船舶(MASS)航行过程风险,基于系统理论事故模型与过程(STAMP)建立MASS的安全控制结构,采用系统理论过程分析法(STPA)确定损失/事故和系统级危险,识别不安全控制行为并分析损失场景,构建系统状态转化过程模型;采用模糊时间Petri网(FTPN)建模,以设定的MASS航行场景得到相关模糊时间函数并推算FTPN的情态演进;引入新的风险水平表达式并通过系统实时损失/事故二维路径图来可视化系统的实时风险水平和系统不安全状态的转化路径。结果表明:设定的航行场景在当前时刻下,缺少安全水深输入、未更新避碰路径、航向航速不安全、搁浅是风险最高的系统不安全状态,并对应4条风险最高的转化路径;STPA驱动下的FTPN过程模型能全面评估MASS航行的实时风险水平,以系统实时损失/事故二维路径图作为可视化界面,用于监管MASS航行中不安全系统状态并描述其转化路径。 展开更多
关键词 系统理论过程分析(STPA) 模糊时间petri网(FTpn) 海上自主水面船舶(MASS) 实时风险评估 转化路径
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一种分层模糊Petri网风险评估方法
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作者 古莹奎 何力韬 毕庆鹏 《机械设计与制造》 北大核心 2024年第2期369-372,379,共5页
针对传统模糊Petri网在对不确定环境下的专家系统的知识表示与推理时无法兼顾不确定知识的模糊性与随机性、在复杂的故障情况下故障的因果关系表达不清晰、定量推理计算时缺乏层次性、不能局部求解的问题,构建一种基于云模型的分层模糊P... 针对传统模糊Petri网在对不确定环境下的专家系统的知识表示与推理时无法兼顾不确定知识的模糊性与随机性、在复杂的故障情况下故障的因果关系表达不清晰、定量推理计算时缺乏层次性、不能局部求解的问题,构建一种基于云模型的分层模糊Petri网以加强模糊Petri网的知识表示能力和提高推理过程的计算效率。利用专家知识和Petri网层次分解原则将系统故障模式和故障原因之间的因果关系进行建模,使故障建模更具结构性,计算更加灵活;应用云模型处理知识的模糊性和不确定性;通过合理考虑局部权重和全局权重,结合Petri网层次分解原则和云聚合算子给出相应的推理算法。实例验证表明,所提方法能够有效对系统进行风险评估,且在知识表示和推理方面优于其他方法。 展开更多
关键词 风险评估 模糊petri网(Fpn) 云模型 层次分解原则
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基于毕达哥拉斯模糊概率Petri网的FPSO单点关键部件风险评估
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作者 张宝雷 于之兴 +1 位作者 韩宇 孙冰 《船海工程》 北大核心 2024年第5期88-93,共6页
为准确对FPSO单点系泊系统关键部件进行风险评估,通过产生式规则建立概率Petri网络模型,基于德尔菲法的结构熵权法确定专家权重,并引入毕达哥拉斯模糊集理论收集、聚合专家意见得到基本事件的模糊可能性得分和模糊失效概率,利用概率推... 为准确对FPSO单点系泊系统关键部件进行风险评估,通过产生式规则建立概率Petri网络模型,基于德尔菲法的结构熵权法确定专家权重,并引入毕达哥拉斯模糊集理论收集、聚合专家意见得到基本事件的模糊可能性得分和模糊失效概率,利用概率推理算法迭代出最终的失效概率,并进行基本事件重要度分析。实例分析结果表明,引起单点系泊系统发生失效的主要因素有电滑环电刷磨损、电滑环负载电流较高、液滑环结构物晃动冲击、液滑环润滑不充分、电滑环电压过高击穿等。针对主要风险因素提出预防和控制措施,能够保障系统安全正常地运转。 展开更多
关键词 FPSO单点系泊系统 概率petri 毕达哥拉斯模糊集 风险评估
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基于FCPN的离散制造系统质量风险分析评估研究
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作者 赵家黎 吴丹 +1 位作者 郜肖盼 代燕霞 《汽车工艺与材料》 2024年第5期49-58,共10页
针对离散制造系统随机性、多样性以及复杂性的特点,高效、准确地识别系统质量风险因素并进行质量风险量化评估是制定相应质量控制活动、提高产品质量的关键。为此,首先构建模糊着色Petri网的产品质量风险评估模型。然后,确定模糊推理规... 针对离散制造系统随机性、多样性以及复杂性的特点,高效、准确地识别系统质量风险因素并进行质量风险量化评估是制定相应质量控制活动、提高产品质量的关键。为此,首先构建模糊着色Petri网的产品质量风险评估模型。然后,确定模糊推理规则,并通过现场获取的置信度经验值进行模糊推理,计算得出中间库所和终止库所的置信度。最后,以汽车顶盖冲压工艺过程为例进行分析,验证了该模型的合理性,并且可推广应用到其他同类离散制造过程。 展开更多
关键词 离散制造系统 顶盖冲压工艺过程 模糊着色 petri 质量风险评估
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A FUZZY REASONING PETRI NET MODEL AND ITS REASONING ALGORITHM 被引量:3
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作者 高梅梅 吴智铭 《Journal of Shanghai Jiaotong university(Science)》 EI 1999年第2期5-9,共5页
This paper compared the difference between the traditional Petri nets and reasoning Petri nets(RPN),and presented a fuzzy reasoning Petri net(FRPN) model to represent the fuzzy production rules of a rule based system.... This paper compared the difference between the traditional Petri nets and reasoning Petri nets(RPN),and presented a fuzzy reasoning Petri net(FRPN) model to represent the fuzzy production rules of a rule based system.Based on the FRPN model,a formal reasoning algorithm using the operators in max algebra was proposed to perform fuzzy reasoning automatically.The algorithm is consistent with the matrix equation expression method in the traditional Petri net.Its legitimacy and feasibility were testified through an example. 展开更多
关键词 fuzzy REASONING petri net (FRpn) fuzzy PRODUCTION RULES fuzzy REASONING REASONING algorithm
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融合PSO-模糊Petri网的室内燃气泄漏风险研究
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作者 张新琪 陈国明 +3 位作者 黄佳伟 王朝阳 刘康 乔千哲 《安全与环境学报》 CAS CSCD 北大核心 2024年第2期440-449,共10页
近年来室内燃气事故多发,而燃气用户风险意识淡薄、户内安全检查难度大。针对现行室内燃气安全管理技术多为静态主观评估的局限性,构建了基于模糊Petri网(Fuzzy Petri Net,FPN)的风险计算规则,提出了结合粒子群优化算法(Particles Swarm... 近年来室内燃气事故多发,而燃气用户风险意识淡薄、户内安全检查难度大。针对现行室内燃气安全管理技术多为静态主观评估的局限性,构建了基于模糊Petri网(Fuzzy Petri Net,FPN)的风险计算规则,提出了结合粒子群优化算法(Particles Swarm Optimization,PSO)和FPN的室内燃气泄漏动态风险评估模型。首先,应用Petri网的直观图像描述和异步并发处理能力建立室内燃气泄漏事故风险演化的拓扑结构模型,借助FPN的模糊推理能力处理风险传播的不确定性;然后,根据燃气运维数据,融合PSO动态更新初始参数,提高风险评估的准确性。结果表明,基于PSO-FPN的室内风险评估方法可弱化燃气公司安检人员分析的主观不确定性,更为准确地量化风险因子演化过程,实现室内燃气泄漏风险的动态分析,有效支持户内燃气泄漏风险管控。 展开更多
关键词 安全工程 室内燃气 风险评估 模糊petri网(Fpn) 粒子群优化算法(PSO)
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Dynamic properties of fuzzy Petri net model and related analysis 被引量:1
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作者 周恺卿 Azlan Mohd Zain 莫礼平 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第12期4717-4723,共7页
Fuzzy Petri net(FPN) has been extensively applied in industrial fields for knowledge-based systems or systems with uncertainty.Although the applications of FPN are known to be successful,the theoretical research of FP... Fuzzy Petri net(FPN) has been extensively applied in industrial fields for knowledge-based systems or systems with uncertainty.Although the applications of FPN are known to be successful,the theoretical research of FPN is still at an initial stage.To pave a way for further study,this work explores related dynamic properties of FPN including reachability,boundedness,safeness,liveness and fairness.The whole methodology is divided into two phases.In the first phase,a comparison between elementary net system(EN_system) and FPN is established to prove that the FPN is an extensive formalism of Petri nets using a backwards-compatible extension method.Next,current research results of dynamic properties are utilized to analyze FPN model.The results illustrate that FPN model is bounded,safe,weak live and fair,and can support theoretical evidences for designing related decomposition algorithm. 展开更多
关键词 fuzzy petri net elementary net system backwards-compatible extension method dynamic properties
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A STUDY OF FUZZY LOGICAL PETRI NETS AND ITS APPLICATION 被引量:1
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作者 Jiang Changjun(Dept. of Comp. Sci. & Eng., Tongji University, Shanghai 200092 Dept. of Comp. Sci., Inst. of Shandong Mining & Tech., Taian 271019Inst. of Soft., The Chinese Academy of Sciences, Beijing 100080) 《Journal of Electronics(China)》 2001年第1期70-78,共9页
In this paper, a fuzzy Petri net approach to modelling fuzzy rule-based reasoning is proposed. Logical Petri net (LPN) and fuzzy logical Petri net (FLPN) are defined. The backward reasoning algorithm based on sub-fuzz... In this paper, a fuzzy Petri net approach to modelling fuzzy rule-based reasoning is proposed. Logical Petri net (LPN) and fuzzy logical Petri net (FLPN) are defined. The backward reasoning algorithm based on sub-fuzzy logical Petri net is given. It is simpler than the conventional algorithm of forward reasoning from initial propositions. An application to the partial fault model of a car engine in paper Portinale's(1993) is used as an illustrative example of FLPN. 展开更多
关键词 Logical Pe+-i net fuzzy logial petri net Reasoning algorithm
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A reliable routing algorithm based on fuzzy Petri net in mobile ad hoc networks 被引量:2
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作者 胡志刚 马好 +1 位作者 王国军 廖麟 《Journal of Central South University of Technology》 EI 2005年第6期714-719,共6页
A novel reliable routing algorithm in mobile ad hoc networks using fuzzy Petri net with its reasoning mechanism was proposed to increase the reliability during the routing selection. The algorithm allows the structure... A novel reliable routing algorithm in mobile ad hoc networks using fuzzy Petri net with its reasoning mechanism was proposed to increase the reliability during the routing selection. The algorithm allows the structured representation of network topology, which has a fuzzy reasoning mechanism for finding the routing sprouting tree from the source node to the destination node in the mobile ad boc environment. Finally, by comparing the degree of reliability in the routing sprouting tree, the most reliable route can be computed. The algorithm not only offers the local reliability between each neighboring node, but also provides global reliability for the whole selected route. The algorithm can be applied to most existing on-demand routing protocols, and the simulation results show that the routing reliability is increased by more than 80% when applying the proposed algorithm to the ad hoc on demand distance vector routing protocol. 展开更多
关键词 mobile ad hoe network fuzzy petri net certainty factor ad hoc on demand distance vector routing algorithm
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Intuitionistic Fuzzy Petri Nets Model Based on Back Propagation Algorithm for Information Services 被引量:1
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作者 Junhua Xi Kouquan Zheng +2 位作者 Jianfeng Ma Jungang Yang Zhiyao Liang 《Computers, Materials & Continua》 SCIE EI 2020年第5期605-619,共15页
Intuitionistic fuzzy Petri net is an important class of Petri nets,which can be used to model the knowledge base system based on intuitionistic fuzzy production rules.In order to solve the problem of poor self-learnin... Intuitionistic fuzzy Petri net is an important class of Petri nets,which can be used to model the knowledge base system based on intuitionistic fuzzy production rules.In order to solve the problem of poor self-learning ability of intuitionistic fuzzy systems,a new Petri net modeling method is proposed by introducing BP(Error Back Propagation)algorithm in neural networks.By judging whether the transition is ignited by continuous function,the intuitionistic fuzziness of classical BP algorithm is extended to the parameter learning and training,which makes Petri network have stronger generalization ability and adaptive function,and the reasoning result is more accurate and credible,which is useful for information services.Finally,a typical example is given to verify the effectiveness and superiority of the parameter optimization method. 展开更多
关键词 Intuitionistic fuzzy set intuitionistic fuzzy petri nets production rule BP algorithm
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基于改进FPPN的飞控系统故障传播路径分析方法
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作者 张晓瑜 张凤琪 +1 位作者 郭润夏 吴军 《北京航空航天大学学报》 EI CAS CSCD 北大核心 2024年第6期1829-1841,共13页
针对飞控系统多冗余、多闭环的结构特性,结合有向图模型和模糊Petri网(FPN)模型,构建飞控系统故障传播模糊概率Petri网(FPPN)模型,以解决飞控系统特定结构下的故障传播路径问题。改进的FPPN模型包含飞控系统有向图模型、故障传播特性量... 针对飞控系统多冗余、多闭环的结构特性,结合有向图模型和模糊Petri网(FPN)模型,构建飞控系统故障传播模糊概率Petri网(FPPN)模型,以解决飞控系统特定结构下的故障传播路径问题。改进的FPPN模型包含飞控系统有向图模型、故障传播特性量化计算模型和故障传播FPPN模型3个部分。采用面向对象技术分析飞控系统的功能行为和物理结构,综合复杂网络理论,构建系统故障传播有向图模型;引入Floyd算法,开展系统耦合关联分析,基于节点的度和边介数定义系统故障传播特性;在有向图模型的基础上,提出相应的结构映射规则,构建飞控系统故障传播FPPN模型,融合改进后的参数量化方法,设定2种推理算法对系统多冗余、闭环结构特性下的故障传播路径进行有效分析。通过数值分析与实例验证,获取飞控系统典型故障传播路径及路径上相关节点的状态值,验证所提方法的有效性。 展开更多
关键词 飞控系统 复杂网络理论 有向图模型 模糊概率petri网模型 故障传播路径分析
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Designing Genetic Regulatory Networks Using Fuzzy Petri Nets Approach
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作者 Raed I.Hamed Syed I.Ahson Rafat Parveen 《International Journal of Automation and computing》 EI 2010年第3期403-412,共10页
In this paper, we have successfully presented a fuzzy Petri net (FPN) model to design the genetic regulatory network. Based on the FPN model, an efficient algorithm is proposed to automatically reason about imprecis... In this paper, we have successfully presented a fuzzy Petri net (FPN) model to design the genetic regulatory network. Based on the FPN model, an efficient algorithm is proposed to automatically reason about imprecise and fuzzy information. By using the reasoning algorithm for the FPN, we present an alternative approach that is more promising than the fuzzy logic. The proposed FPN approach offers more flexible reasoning capability because it is able to obtain results with fuzzy intervals rather than point values. In this paper, a novel model with a new concept of hidden fuzzy transition (HFT) to design the genetic regulatory network is developed. We have built the FPN model and classified the input data in terms of time point and obtained the output data, so the system can be viewed as the two-input and one output system. This method eliminates possible false predictions from the classical fuzzy model thereby allowing a wider search space for inferring regulatory relationship. The experimental results show the proposed approach is feasible and acceptable to design the genetic regulatory network and investigate the dynamical behaviors of gene network. 展开更多
关键词 Genetic regulatory networks fuzzy petri net (Fpn fuzzy reasoning fuzzy transition modeling.
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Method of Dynamic Knowledge Representation and Learning Based on Fuzzy Petri Nets
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作者 危胜军 胡昌振 孙明谦 《Journal of Beijing Institute of Technology》 EI CAS 2008年第1期41-45,共5页
A method of knowledge representation and learning based on fuzzy Petri nets was designed. In this way the parameters of weights, threshold value and certainty factor in knowledge model can be adjusted dynamically. The... A method of knowledge representation and learning based on fuzzy Petri nets was designed. In this way the parameters of weights, threshold value and certainty factor in knowledge model can be adjusted dynamically. The advantages of knowledge representation based on production rules and neural networks were integrated into this method. Just as production knowledge representation, this method has clear structure and specific parameters meaning. In addition, it has learning and parallel reasoning ability as neural networks knowledge representation does. The result of simulation shows that the learning algorithm can converge, and the parameters of weights, threshold value and certainty factor can reach the ideal level after training. 展开更多
关键词 knowledge representation knowledge learning fuzzy petri nets fuzzy reasoning
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Arteriovenous Shunt Stenosis Evaluation Using a Fractional-Order Fuzzy Petri Net Based Screening System for Long-Term Hemodialysis Patients
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作者 Wei-Ling Chen Chung-Dann Kan Chia-Hung Lin 《Journal of Biomedical Science and Engineering》 2014年第5期258-275,共18页
This paper proposes the evaluation of arteriovenous shunt (AVS) stenosis using a fractional-order Fuzzy Petri net based screening system for long-term hemodialysis treatment of patients. The screening system uses the ... This paper proposes the evaluation of arteriovenous shunt (AVS) stenosis using a fractional-order Fuzzy Petri net based screening system for long-term hemodialysis treatment of patients. The screening system uses the Burg method, the fractional-order chaos system, and the Fuzzy Petri net (FPN) for early detection of AVS dysfunction. The Burg method is an autoregressive (AR) model that is used to estimate the frequency spectra of a phonoangiographic signal and to identify the spectral peaks in the region from 25 Hz to 800 Hz. In AVS, the frequency spectrum varies between normal blood flow and turbulent flow. The power spectra demonstrate changes in frequency and amplitude as the degree of stenosis changes. A screening system combining fractional-order chaos system and FPN is used to track the differences in the frequency spectra between the normal and stenosis access. The dynamic errors are indexes that can be used to evaluate the degree of AVS stenosis using a FPN. For 42 long-term follow-up patients, testing results show that the proposed screening system is more efficient in the evaluation of AVS stenosis. 展开更多
关键词 ARTERIOVENOUS SHUNT (AVS) FRACTIONAL-ORDER SELF-SYNCHRONIZATION Error Burg Method Phonoangiographic Signal fuzzy petri net (pn)
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FINE-GRAINED DISTRIBUTED MULTIMEDIA SYNCHRONIZA-TION MODEL——ENHANCED FUZZY-TIMING PETRI NET
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作者 韩莹洁 孙永强 吴哲辉 《Journal of Shanghai Jiaotong university(Science)》 EI 2001年第1期62-66,共5页
A fine grained distributed multimedia synchronization model——Enhanced Fuzzy timing Petri Net was proposed which is good at modeling indeterminacy and fuzzy. To satisfy the need of maximum tolerable jitter, the suffi... A fine grained distributed multimedia synchronization model——Enhanced Fuzzy timing Petri Net was proposed which is good at modeling indeterminacy and fuzzy. To satisfy the need of maximum tolerable jitter, the sufficient conditions are given in intra object synchronization. Method to find a proper granularity in inter object synchronization is also given to satisfy skew. Exceptions are detected and corrected as early as possible using restricted blocking method. 展开更多
关键词 multimedia synchronization enhanced fuzzy timing petri net (EFpn) quality of service (QoS)
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Fuzzy reasoning model using fuzzy Petri Nets for the monitoring of robotic assembly
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作者 赵杰 高胜 蔡鹤皋 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2007年第5期668-673,共6页
This paper presented a fuzzy Petri net model to deal with the monitoring of robotic assembly. Based on the fuzzy Petri net model, an efficient composite reasoning mode was proposed to perform fuzzy reasoning automatie... This paper presented a fuzzy Petri net model to deal with the monitoring of robotic assembly. Based on the fuzzy Petri net model, an efficient composite reasoning mode was proposed to perform fuzzy reasoning automatiealy. It can determine whether there exists an antecedent-consequence relationship between two contact states. Furthermore, various types of sensor signals can be converted to the same form of real values between zero and one, and the contradiction among large number, high degree of truth and importance of input conditions can be resolved very well by introducing the weight factors and priorities for sensor signals. Finally, a peg- in-the-hole example was given to illustrate the reasonability and feasibility of the proposed model. 展开更多
关键词 fuzzy petri nets robotic assembly process control contact states monitoring peg-in-the-hole
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基于改进的分层WFPN的电网故障诊断
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作者 张淑卿 许迪 《水电能源科学》 北大核心 2024年第10期196-200,共5页
针对提升电网故障诊断模型准确性和解决因模型元件增减而引起模型构建复杂的问题,提出了基于改进的分层加权模糊Petri网(WFPN)电网故障诊断方法。首先,根据故障元件及故障蔓延方向建立其故障子模型和综合模型两层模型,解决因元件增减而... 针对提升电网故障诊断模型准确性和解决因模型元件增减而引起模型构建复杂的问题,提出了基于改进的分层加权模糊Petri网(WFPN)电网故障诊断方法。首先,根据故障元件及故障蔓延方向建立其故障子模型和综合模型两层模型,解决因元件增减而引起模型构建复杂度问题;其次,在主观赋值法的基础上通过优化组合赋值法对输入权值进行优化赋值,使得故障诊断结果具有较高准确性;最后,通过对14节点电力系统进行仿真分析,发现在面临信息不完备及保护或断路器拒动挑战时,WFPN电网故障诊断方法仍能够提供可靠的故障诊断结果,具有较高的容错性。 展开更多
关键词 电网 故障诊断 分层加权模糊petri 容错性
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基于模糊Petri网和马尔科夫链理论的水电厂设备故障应急响应模型
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作者 尤渺 《电子设计工程》 2024年第10期59-63,共5页
为保证水电厂设备安全,避免因故障导致意外事故,基于模糊Petri网和马尔科夫链理论设计水电厂设备故障应急响应模型。确定加权因子命题阈值,结合传感器收集的初始信号,在滤波器的作用下还原信号特征,基于模糊Petri网提取水电厂设备故障... 为保证水电厂设备安全,避免因故障导致意外事故,基于模糊Petri网和马尔科夫链理论设计水电厂设备故障应急响应模型。确定加权因子命题阈值,结合传感器收集的初始信号,在滤波器的作用下还原信号特征,基于模糊Petri网提取水电厂设备故障特征。设计故障分类器,建立概率转移矩阵,设置概率转移矩阵的条件,面对动态解码,给定模型参数,计算马尔可夫模型下的连续变量密度函数,修正比例因子的状态系数,得到设备故障分类结果。建立设备故障应急响应模型,输出设备故障状态下的应急响应结果。实验结果显示,该模型在四种故障类型中的分类精度分别为98.8%、98.6%、98.7%、98.8%,可见该模型分类精度较好。 展开更多
关键词 模糊petri 马尔科夫链理论 水电厂设备 设备故障 应急响应模型
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混合动态系统的混合Petri网(HSPN)模型 被引量:3
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作者 吴维敏 曾建潮 《控制与决策》 EI CSCD 北大核心 1999年第5期453-456,480,共5页
针对混合动态系统,提出一种混合 Petri网( H S P N)模型,分析了该模型具有的特点及其运行规则。以冶金加热炉为例,给出了该系统的 H S P N 模型。
关键词 混合动态系统 冶金加热炉 连续动态系统 petri
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