Two-dimensional Gaussian hierarchical priority fuzzy modeling for interval-valued data

被引:10
作者
Liu, Xiaotian [1 ]
Zhao, Tao [1 ]
Xie, Xiangpeng [1 ,2 ]
机构
[1] Sichuan Univ, Coll Elect Engn, Chengdu 610065, Peoples R China
[2] Nanjing Univ Posts & Telecommun, Inst Adv Technol, Nanjing 210023, Peoples R China
关键词
Interval-valued data; Hierarchical priority structure; Two-dimensional Gaussian membership; function; REGRESSION; SYSTEMS; PREDICTION;
D O I
10.1016/j.ins.2023.02.026
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, a new two-dimensional gaussian hierarchical priority fuzzy system (TGHPFS) is proposed to handle interval-valued data. TGHPFS first performs hierarchical clustering of the average value of interval-valued data in each dimension to generate two-dimensional gaussian membership functions of two-level rules. The two levels of rules are associated by calculating the activation strength of the second-level rules to the first-level rules and setting the connection threshold. The regularized least squares method is used to optimize the consequents of the second-level rules. The two-dimensional gaussian membership function designed in this paper is used to model the antecedents of interval-valued data, solving the correlation problem between the left and right values of interval-valued data. The effectiveness of TGHPFS is validated using real-world datasets, and the proposed method is compared with other latest methods to show the superiority of TGHPFS.
引用
收藏
页码:23 / 39
页数:17
相关论文
共 41 条
[1]   A Specificity-Based Approach to Semantic Interpretation and Hierarchical Complexity Reduction in Fuzzy Models [J].
Adel-Rastkhiz, Ehsan ;
Akbarzadeh-T, Mohammad-R. .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2021, 29 (09) :2661-2674
[2]  
Alcalá-Fdez J, 2011, J MULT-VALUED LOG S, V17, P255
[3]   A Compact Evolutionary Interval-Valued Fuzzy Rule-Based Classification System for the Modeling and Prediction of Real-World Financial Applications With Imbalanced Data [J].
Antonio Sanz, Jose ;
Bernardo, Dario ;
Herrera, Francisco ;
Bustince, Humberto ;
Hagras, Hani .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2015, 23 (04) :973-990
[4]  
Billard L, 2000, ST CLASS DAT ANAL, P369
[5]  
Billard L., 2002, Classification, clustering, and data analysis: recent advances and applications, P281, DOI 10.1007/978-3-642-56181-8_31
[6]   Interval-valued fuzzy regression: Philosophical and methodological issues [J].
Boukezzoula, Reda ;
Coquin, Didier .
APPLIED SOFT COMPUTING, 2021, 103
[7]   Recent trends in intelligent data analysis [J].
Corchado, Emilio ;
Wozniak, Michal ;
Abraham, Ajith ;
de Carvalho, Andre C. P. L. F. ;
Snasel, Vaclav .
NEUROCOMPUTING, 2014, 126 :1-2
[8]   A clusterwise nonlinear regression algorithm for interval-valued data [J].
de Carvalho, Francisco de A. T. ;
Lima Neto, Eufrasio de A. ;
da Silva, Kassio C. F. .
INFORMATION SCIENCES, 2021, 555 :357-385
[9]   Lasso-constrained regression analysis for interval-valued data [J].
Giordani, Paolo .
ADVANCES IN DATA ANALYSIS AND CLASSIFICATION, 2015, 9 (01) :5-19
[10]  
Kabir C. Wagner, 2021, 2021 IEEE INT C FUZZ, P1