计算机科学 ›› 2025, Vol. 52 ›› Issue (5): 281-290.doi: 10.11896/jsjkx.240100017
许昌林1,2, 孔令卓1
XU Changlin1,2, KONG Lingzhuo1
摘要: 云模型作为研究不确定性信息的工具,在不确定性人工智能和数据挖掘方面具有重要意义。 其中逆向云变换算法为云模型的重要算法之一,可以实现定量数据到定性概念的转换。文中从动态增量的角度对逆向云变换算法进行研究。首先,针对现有的基于一阶绝对中心矩的经典逆向云变换算法中参数估计存在的不合理性进行了理论分析。其次,在理论分析的基础上,结合正向云变换算法生成云滴的特点,利用正态随机变量动态产生新的云滴作为新增样本,并将随机生成的样本和原有样本融合作为最终样本后再对参数进行估计,有效解决了已有算法存在的估算问题,从而提出了两种动态增量式的逆向云变换算法。然后,通过随机模拟实验,从有效性、稳定性、收敛性和参数的鲁棒性4个方面将所提出的逆向云变换算法与已有算法进行对比分析,实验结果表明所提出的动态增量式逆向云变换算法的估计误差较小、稳定性和收敛性较好,且对参数的变化具有较强的鲁棒性。最后,将提出的逆向云变换算法应用在对射击选手的射击水平模拟还原和评价中,实验结果进一步表明算法具有较好的实用性。
中图分类号:
[1]LI D Y.Ten questions and answers for the new generation of artificial intelligences [J].CAAI Transactions on Intelligent Systems,2021,16(5):828-833. [2]WANG G Y,FU S,YANG J,et al.A review of research onmulti-granularity based intelligent computing[J].Chinese Journal of Computers,2022,45(6):1161-1175. [3]QIN J D,MARTINEZ L,PEDRYCZ W,et al.An overview of granular computing in decision-making:Extensions,applications,and challenges[J].Information Fusion,2023,98:101833. [4]AGGARWAL M.An entropy framework for randomness andfuzziness[J].Expert Systems with Applications,2024,243:122431. [5]TAGHIKHANI S,BAROUGHI F.Fuzzy random classical and inverse median location problems[J].Soft Computing,2023,27:8821-8839. [6]ZADEH L.Fuzzy sets[J].Information and Control,1965,8(3):338-353. [7]PAWLAK Z.Rough sets[J].International Journal of Computer and Information Sciences,1982,11(5):341-356. [8]YANG X,LI Y,LI T.A review of sequential three-way decision and multi-granularity learning[J].International Journal of Approximate Reasoning,2023,152:414-433. [9]LI D Y,LIU C Y GAN W Y.Proof of the heavy-tailed property of normal cloud model[J].Strategic Study of CAE,2011,13(4):20-23. [10]CHAUHAN P,GUPTA A,MALHOTRA T.A novel cloudmodel based on multiplicative unbalanced linguistic term set[J].The Journal of Supercomputing,2023,79(14):16378-16408. [11]GAO H B,ZHANG X Y,ZHANG T L,et al.Research of intelligent vehicle variable granularity evaluation based on cloud model[J].Acta Electronica Sinica,2016,44(2):365-373. [12]DAI J,HU B,WANG G Y,et al.The uncertainty similaritymeasure of cloud model based on the fusion of distribution contour and local feature[J].Journal of Electronics & Information Technology,2022,44(4):1429-1439. [13]JIANG J,YUAN Y P,DENG P,et al.Effectiveness evaluation of Chongqing shipping center project with cloud model and VIKOR method [J].Navigation of China,2023,46(3):91-97,104. [14]MA W,LI Y R.Analysis of a performance evaluation methodfor science and technology investment projects using SAHP cloud model [J].Journal of Southwest University(Natural Science Edition),2023,45(10):160-168. [15]LIU J K,WANG J R,WANG C X.Research on the subject and method of emergency capability evaluation based on bibliometric analysis [J].Journal of Safety and Environment,2023,23(5):1398-1406. [16]XU C L,XU H.Research on similarity measurement method of normal cloud based on Hellinger distance and its application[J].CAAI Transactions on Intelligent Systems,2023,18(6):1312-1321. [17]LIU W Q,ZHU J J.A multistage decision-making method formulti-source information with Shapley optimization based on normal cloud models[J].Applied Soft Computing,2021,111:107716. [18]LIU W Q,ZHU J J.A multistage decision-making method with quantum-guided expert state transition based on normal cloud models[J].Information Sciences,2022,615:700-730. [19]ZHANG L M,CHEN W Y.Multi-criteria group decision-making with cloud model and TOPSIS for alternative selection under uncertainty[J].Soft Computing,2022,26:12509-12529. [20]LIU Z M,WANG X Y,WANG W X,et al.An integrated TOPSIS-ORESTE-based decision-making framework for new energy investment assessment with cloud model[J].Computational and Applied Mathematics,2022,41:42. [21]LIU Y,LIU Z T,LI S,et al.Cloud-Cluster:An uncertainty clustering algorithm based on cloud model[J].Knowledge-Based Systems,2023,263:110261. [22]LIU W Q,ZHU J J,CHICLANA F.Large-scale group consensus hybrid strategies with three-dimensional clustering optimisation based on normal cloud models[J].Information Fusion,2023,94:66-91. [23]XU C L,WANG G Y.Bidirectional cognitive computing model for uncertain concepts[J].Cognitive Computation,2019,11(5):613-629. [24]LIU C Y,FENG M,DAI X J,et al.A new algorithm of backward cloud [J].Journal of System Simulation,2004(11):2417-2420. [25]YU S W,SHI Z K.New algorithm of backward cloud based on normal interval number[J].Systems Engineering-Theory & Practice,2011,31(10):2021- 2026. [26]XU C L,WANG G Y,ZHANG Q H.A new multi-step backward cloud transformation algorithm based on normal cloud model[J].Fundamenta Informaticae,2014,133:55-85. [27]XU C L,WANG G Y.A novel cognitive transformation algo-rithm based on Gaussian cloud model and its application in image segmentation[J].Numerical Algorithms,2017,76(4):1039-1070. [28]CHEN H,LI B,LIU C Y.An algorithm of backward cloud without certainty degree [J].Journal of Chinese Computer Systems,2015,36(3):544-549. [29]LI D Y,LIU C Y,GAN W Y.A new cognitive model:cloud model[J].International Journal of Intelligent Systems,2009,24(3):357-375. [30]YANG J,WANG G Y,LIU Q,et al.Retrospect and prospect of research of normal cloud model[J].Chinese Journal of Computers,2018,41(3):724-744. [31]XU C L.Research on bidirectional cognitive computing method based on Cloud Model [D].Chengdu:Southwest Jiaotong University,2014. [32]GAO Y P,LU W Y,WANG L L,et al.Parameter estimation of cloud model based on Bayesian theory [J].Statistics & Decision,2019,35(6):5-8. |
|