基于共识与Choquet积分的模糊Petri网可信度确定方法
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摘要
针对模糊Petri网可信度确定过程中决策结果可接受程度较低和未考虑影响因子间关联的问题,提出基于群体共识测度与Choquet积分确定模糊Petri网可信度的方法。设计了基于决策者与群体评估信息偏差修正的自适应共识测度算法,获取可接受程度较高的群体评估信息。构建最大2-可加模糊测度Marichal熵模型求解影响因子间的交互作用系数,根据交互作用系数、默比乌斯变换和模糊测度之间的关系确定模糊测度,利用Choquet积分算子集结群体评估信息得到模糊Petri网可信度。将此方法用于确定燃气轮机故障诊断模糊Petri网输入库所可信度,并与未考虑共识测度和影响因子间关联的方法进行比较,计算结果验证了该方法的有效性和可行性。
In the process of determining the credibility of fuzzy Petri net,the result of the decision making is lower and the correlation between the influence factors is unconsidered,this paper put forward a method of determining the fuzzy Petri net credibility based on group consensus measure and Choquet integral. It designed the adaptive consensus algorithm based on the decision maker and the group evaluation information error correction,and obtained the group evaluation information which could be accepted by the algorithm. It solved the interaction coefficient of the influence factors by the biggest 2-additve fuzzy measure Marichal entropy model. According to the relationship between the interaction coefficient,Mobius transform and fuzzy measure to determine the fuzzy measure,it obtained the fuzzy Petri net credibility by aggregating group evaluation information by using Choquet integral. It verified the validity and feasibility of this method by the case of determine the gas turbine fault diagnosis fuzzy Petri net input place credibility in comparison with a method of not consider the consensus measure and the correlation of influence factors.
In the process of determining the credibility of fuzzy Petri net,the result of the decision making is lower and the correlation between the influence factors is unconsidered,this paper put forward a method of determining the fuzzy Petri net credibility based on group consensus measure and Choquet integral. It designed the adaptive consensus algorithm based on the decision maker and the group evaluation information error correction,and obtained the group evaluation information which could be accepted by the algorithm. It solved the interaction coefficient of the influence factors by the biggest 2-additve fuzzy measure Marichal entropy model. According to the relationship between the interaction coefficient,Mobius transform and fuzzy measure to determine the fuzzy measure,it obtained the fuzzy Petri net credibility by aggregating group evaluation information by using Choquet integral. It verified the validity and feasibility of this method by the case of determine the gas turbine fault diagnosis fuzzy Petri net input place credibility in comparison with a method of not consider the consensus measure and the correlation of influence factors.
引文
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[18]Zhang Bowen,Dong Yucheng,Xu Yinfeng.Multiple attribute consensus rules with minimum adjustments to support consensus reaching[J].Knowledge-Based Systems,2014,67(9):35-48.
[19]Dong Yucheng,Zhang Hengjie,Herrera-Viedma E.Consensus reaching model in the complex and dynamic MAGDM problem[J].Knowledge-Based Systems,2016,106(8):206-219.
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[22]Onisawa T,Sugeno M,Nishiwaki Y,et al.Fuzzy measure analysis of public attitude towards the use of nuclear energy[J].Fuzzy Set&Systems,1986,20(3):259-289.
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[24]Grabisch M.k-order additive discrete fuzzy measures and their representation[J].Fuzzy Sets&Systems:Special Issue on Fuzzy Measures and Integrals,1997,92(2):167-189.
[25]武建章,张强.基于最大熵原则的2-可加模糊测度确定方法[J].系统工程与电子技术,2010,32(11):2346-2351.
[26]Maricha L J L.Entropy of discrete Choquet capacities[J].European Journal of Operational Research,2002,137(3):612-624.
[2]Cho J H.Tradeoffs between trust and survivability for mission effectiveness in tactical networks[J].IEEE Trans on Cybernentics,2015,45(4):754-766.
[3]Liu Bo,Huang Keman,Li Jianqiang,et al.An incremental and distributed inference method for large-scale ontologies based on MapReduce paradigm[J].IEEE Trans on Cybernetics,2015,45(1):53-64.
[4]Kang Yongbin,Krishnaswamy S,Zaslavsky A.A retrieval strategy for cased-based reasoning using similarity and association knowledge[J].IEEE Trans on Cybernetics,2014,44(4):473-487.
[5]Liu Huchen,Lin Qinglian,Mao Lingxiang,et al.Dynamic adaptive fuzzy Petri nets for knowledge representation and reasoning[J].IEEE Trans on Systems Man&Cybernetics,2013,43(6):1399-1410.
[6]Hu Hesuan,Li Zhiwu,Al-Ahmari A.Reversed fuzzy Petri nets and their application for fault diagnosis[J].Computers&Industrial Engineering,2011,60(4):505-510.
[7]Liu Huchen,Lin Qinglian,Ren Minglu.Fault diagnosis and cause analysis using fuzzy evidential reasoning approach and dynamic adaptive fuzzy Petri nets[J].Computers&Industrial Engineering,2013,66(4):899-908.
[8]Qiao Fei,Wu Qidi,Li Li,et al.A fuzzy Petri net-based reasoning method for rescheduling[J].Transactions of the Institute of Measurement&Control,2011,31(5):435-455.
[9]Gniewek L.Sequential control algorithm in the form of fuzzy interpreted Petri net[J].IEEE Trans on Systems Man&Cybernetics,2013,43(2):451-459.
[10]Hamed R I.Esophageal cancer prediction based on qualitative features using adaptive fuzzy reasoning method[J].Journal of King Saud University-Computer and Information Sciences,2015,27(2):129-139.
[11]Gao Meimei,Zhou Mengchu,Huang Xiaoguang,et al.Fuzzy reasoning Petri nets[J].IEEE Trans on Systems Man&Cybernetics,Part A:Systems and Humans,2003,33(3):314-324.
[12]Liu Huchen,You Jianxin,Tian Guangdong.Determining truth degrees of input places in fuzzy Petri nets[J].IEEE Trans on Systems Man and Cybernetics:Systems,2017,47(12):3425-3431.
[13]Chen S M,Ke J S,Chang Jinfu.Knowledge representation using fuzzy Petri nets[J].IEEE Trans on Knowledge&Data Engineering,1990,2(3):311-319.
[14]Zhang Huimin.The multi-attribute group decision making method based on aggregation operators with interval-valued 2-tuple linguistic information[J].Mathematical and Computer Modelling,2012,56(1-2):27-35.
[15]Wang Jianqiang,Wang Dandan,Zhang Hongyu,et al Multi-criteria group decision making method based on interval 2-tuple linguistic information and Choquet integral aggregation operators[J].Soft Computing,2015,19(2):389-405.
[16]Palomares I,Estrella F J,Martinez L,et al.Consensus under a fuzzy context:taxonomy analysis framework AFRYCA and experimental case of study[J].Information Fusion,2014,20(15):252-271.
[17]张世涛,朱建军,刘小弟.基于重要度引导偏好识别修正的多粒度语言共识模型[J].控制与决策,2015,30(9):1609-1616.
[18]Zhang Bowen,Dong Yucheng,Xu Yinfeng.Multiple attribute consensus rules with minimum adjustments to support consensus reaching[J].Knowledge-Based Systems,2014,67(9):35-48.
[19]Dong Yucheng,Zhang Hengjie,Herrera-Viedma E.Consensus reaching model in the complex and dynamic MAGDM problem[J].Knowledge-Based Systems,2016,106(8):206-219.
[20]Lotfi F H,Fallahnejad R.Imprecise Shannon’s entropy and multi attribute decision making[J].Entropy,2010,12(1):53-62.
[21]Singh A,Gupta A,Mehra A.Energy planning problems with intervalvalued 2-tuple linguistic information[J].Operational Research,2017,17(3):821-848.
[22]Onisawa T,Sugeno M,Nishiwaki Y,et al.Fuzzy measure analysis of public attitude towards the use of nuclear energy[J].Fuzzy Set&Systems,1986,20(3):259-289.
[23]Marichal J L.An axiomatic approach of the discrete Choquet integral as a tool to aggregate interacting criteria[J].IEEE Trans on Fuzzy Systems,2000,8(6):800-807.
[24]Grabisch M.k-order additive discrete fuzzy measures and their representation[J].Fuzzy Sets&Systems:Special Issue on Fuzzy Measures and Integrals,1997,92(2):167-189.
[25]武建章,张强.基于最大熵原则的2-可加模糊测度确定方法[J].系统工程与电子技术,2010,32(11):2346-2351.
[26]Maricha L J L.Entropy of discrete Choquet capacities[J].European Journal of Operational Research,2002,137(3):612-624.