Fuzzy Least Squares Estimation with New Fuzzy Operations

被引：0
|
作者：
Yoon, Jin Hee [1 ]
Choi, Seung Hoe [2 ]
机构：
[1] Yonsei Univ, Sch Econ, Seoul 120749, South Korea
[2] Korea Aerosp Univ, Sch Liberal Arts & Sci, Koyang 412791, South Korea
来源：
SYNERGIES OF SOFT COMPUTING AND STATISTICS FOR INTELLIGENT DATA ANALYSIS | 2013年 / 190卷
关键词：
Fuzzy least squares estimator; fuzzy random variable; triangular fuzzy matrix; LINEAR-REGRESSION ANALYSIS; INPUT-OUTPUT DATA; MODELS; PARAMETERS;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper deals with fuzzy least squares estimation of the fuzzy linear regression model with fuzzy input-output data that has an error structure. The paper proposes fuzzy least squares estimators (FLSEs) for regression parameters based on a suitable metric, and shows that the estimators are fuzzy-type linear estimators. To find these estimators, we first defined a notion of triangular fuzzy matrices whose elements are given as triangular fuzzy numbers, and also provided some operations among all triangular fuzzy matrices. Simple computational examples of this applications are given.
引用
收藏
页码：193 / +
页数：3
相关论文
共 50 条
  • [41] Constrained　Least　Squares　to　Identification　of　Fuzzy　Time　Series
    Journal of Systems Science and Systems Engineering, 1997, (02) : 196 - 206
  • [42] Adaptive Least Trimmed Squares Fuzzy Neural Network
    Chang, Jyh-Yeong
    Liao, Shih-Hui
    Lin, Chin-Teng
    2012 INTERNATIONAL CONFERENCE ON FUZZY THEORY AND ITS APPLICATIONS (IFUZZY2012), 2012, : 413 - 416
  • [43] A generalized fuzzy weighted least-squares regression
    Chang, PT
    Lee, ES
    FUZZY SETS AND SYSTEMS, 1996, 82 (03) : 289 - 298
  • [44] A LEAST-SQUARES MODEL FOR FUZZY RULES OF INFERENCE
    PHAM, TD
    VALLIAPPAN, S
    FUZZY SETS AND SYSTEMS, 1994, 64 (02) : 207 - 212
  • [45] Fuzzy least squares twin support vector clustering
    Khemchandani, Reshma
    Pal, Aman
    Chandra, Suresh
    NEURAL COMPUTING & APPLICATIONS, 2018, 29 (02): : 553 - 563
  • [46] Generalized fuzzy weighted least-squares regression
    Fuzzy Sets and Systems, 1996, 82 (03):
  • [47] Extended fuzzy linear models and least squares estimates
    Diamond, P
    Korner, R
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1997, 33 (09) : 15 - 32
  • [48] Fuzzy bounded least squares method for systems identification
    Zeng, XJ
    Singh, MG
    PROCEEDINGS OF THE TWENTY-EIGHTH SOUTHEASTERN SYMPOSIUM ON SYSTEM THEORY, 1996, : 61 - 65
  • [49] Least-squares estimates in fuzzy regression analysis
    Kao, C
    Chyu, CL
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2003, 148 (02) : 426 - 435
  • [50] Intuitionistic Fuzzy Weighted Least Squares Twin SVMs
    Tanveer, M.
    Ganaie, M. A.
    Bhattacharjee, A.
    Lin, C. T.
    IEEE TRANSACTIONS ON CYBERNETICS, 2023, 53 (07) : 4400 - 4409
12345