3D fuzzy data approximation by fuzzy smoothing bicubic splines

被引：1
|
作者：
Gonzalez, P. [1 ]
Idais, H. [1 ]
Pasadas, M. [1 ]
Yasin, M. [1 ]
机构：
[1] Univ Granada, Dept Appl Math, E-18071 Granada, Spain
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2019年 / 164卷
关键词：
Fuzzy data; Approximation theory; Smoothing splines; Variational methods; Bicubic splines; INTERPOLATION; NUMBERS;
D O I：
10.1016/j.matcom.2018.10.005
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Function approximation and interpolation are major and important problems in various scientific fields. In this work we present an approximation method of fuzzy data defined at a 3D fuzzy data set. We define a fuzzy smoothing bicubic spline approximation for a given fuzzy data set and we estimate the approximation error using similarity measures of fuzzy numbers. Examples are given to test the goodness of the method and compare the behavior of the indices proposed for different configurations of the fuzzy smoothing bicubic spline. Finally, some conclusions of the presented method are briefly discussed. (C) 2018 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：94 / 102
页数：9
相关论文
共 50 条
  • [1] Approximation of fuzzy functions by fuzzy interpolating bicubic splines: 2018 CMMSE conference
    Gonzalez, P.
    Idais, H.
    Pasadas, M.
    Yasin, M.
    JOURNAL OF MATHEMATICAL CHEMISTRY, 2019, 57 (05) : 1252 - 1267
  • [2] Approximation of fuzzy functions by fuzzy interpolating bicubic splines: 2018 CMMSE conference
    P. González
    H. Idais
    M. Pasadas
    M. Yasin
    Journal of Mathematical Chemistry, 2019, 57 : 1252 - 1267
  • [3] Fuzzy data approximation using smoothing cubic splines: Similarity and error analysis
    Valenzuela, O.
    Pasadas, M.
    APPLIED MATHEMATICAL MODELLING, 2011, 35 (05) : 2122 - 2144
  • [4] An approximation problem of noisy data by cubic and bicubic splines
    Kouibia, Abdelouahed
    Pasadas, Miguel
    APPLIED MATHEMATICAL MODELLING, 2012, 36 (09) : 4135 - 4145
  • [5] Intuitionistic Fuzzy Bicubic Bezier Surface Approximation
    Zulkifly, Mohammad Izat Emir
    Wahab, Abd Fatah
    PROCEEDING OF THE 25TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM25): MATHEMATICAL SCIENCES AS THE CORE OF INTELLECTUAL EXCELLENCE, 2018, 1974
  • [6] Approximation of 3D trapezoidal fuzzy data using radial basis functions
    Gonzalez-Rodelas, P.
    Idais, H.
    Pasadas, M.
    Yasin, M.
    FUZZY SETS AND SYSTEMS, 2023, 453 : 82 - 94
  • [7] Interpolation of fuzzy data by using fuzzy splines
    Abbasbandy, S.
    Ezzati, R.
    Behforooz, H.
    INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2008, 16 (01) : 107 - 115
  • [8] Fuzzy Splines and Their Applications to Interpolate Fuzzy Data
    Ezzati, R.
    Rohani-Nasab, N.
    Mokhtarnejad, F.
    Aghamohammadi, M.
    Hassasi, N.
    INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2013, 15 (02) : 127 - 132
  • [9] Fuzzy data smoothing
    Tanaka, Masato
    Conference Record - IEEE Instrumentation and Measurement Technology Conference, 1994, 1 : 90 - 93
  • [10] "Smoothing Splines" on automatic Processing of 3D Image Data for Robot Visual Guidance
    Herrmann, Markus
    Otesteanu, Marius
    Otto, Marc-Andre
    AUTOMATION 2012, 2012, 2171 : 279 - 283
12345