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
  • [1] Optimal properties of a fuzzy least estimator based on new operations
    Yoon, Jin Hee
    Jung, Hye-young
    Lee, Woo-Joo
    Choi, Seung Hoe
    2014 JOINT 7TH INTERNATIONAL CONFERENCE ON SOFT COMPUTING AND INTELLIGENT SYSTEMS (SCIS) AND 15TH INTERNATIONAL SYMPOSIUM ON ADVANCED INTELLIGENT SYSTEMS (ISIS), 2014, : 36 - 41
  • [2] Componentwise Fuzzy Linear Regression Using Least Squares Estimation
    Yoon, Jin Hee
    Choi, Seung Hoe
    JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, 2009, 15 (2-3) : 137 - 153
  • [3] On Asymptotic Properties of the Multiple Fuzzy Least Squares Estimator
    Yoon, Jin Hee
    Choi, Seung Hoe
    Grzegorzewski, Przemyslaw
    SOFT METHODS FOR DATA SCIENCE, 2017, 456 : 525 - 532
  • [4] A Large Sample Study of Fuzzy Least-Squares Estimation
    Yoon, Jin Hee
    Choi, Seung Hoe
    AXIOMS, 2025, 14 (03)
  • [5] Estimation of Weibull parameters using a fuzzy least-squares method
    Hung, WL
    Liu, YC
    INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2004, 12 (05) : 701 - 711
  • [7] Fuzzy Least Squares for Identification of Individual Pharmacokinetic Parameters
    Seng, Kok-Yong
    Nestorov, Ivan
    Vicini, Paolo
    IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 2009, 56 (12) : 2796 - 2805
  • [8] General fuzzy regression using least squares method
    Choi, Seung Hoe
    Yoon, Jin Hee
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2010, 41 (05) : 477 - 485
  • [9] Least Squares Method for L-R Fuzzy Variables
    Gladysz, Barbara
    Kuchta, Dorota
    FUZZY LOGIC AND APPLICATIONS, 2009, 5571 : 36 - 43
  • [10] Least Squares Method with Interactive Fuzzy Coefficient: Application on Longitudinal Data
    Pinto, Nilmara J. B.
    Wasques, Vinicius F.
    Esmi, Estevao
    Barros, Laecio C.
    FUZZY INFORMATION PROCESSING, NAFIPS 2018, 2018, 831 : 132 - 143