Weighted Trapezoidal Approximations of Fuzzy Numbers

被引：0
|
作者：
Grzegorzewski, Przemyslaw [1 ,2 ]
Pasternak-Winiarska, Karolina [2 ]
机构：
[1] Polish Acad Sci, Syst Res Inst, Newelska 6, PL-01447 Warsaw, Poland
[2] Warsaw Univ Technol, Fac Math & Informat Sci, PL-00661 Warsaw, Poland
来源：
PROCEEDINGS OF THE JOINT 2009 INTERNATIONAL FUZZY SYSTEMS ASSOCIATION WORLD CONGRESS AND 2009 EUROPEAN SOCIETY OF FUZZY LOGIC AND TECHNOLOGY CONFERENCE | 2009年
关键词：
fuzzy number; expected interval; trapezoidal approximation; width; weighted distance; EXPECTED INTERVAL; TRIANGULAR APPROXIMATIONS; FORM;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Fuzzy number approximation by trapezoidal fuzzy numbers which preserves the expected interval is discussed. New algorithms for calculating the proper trapezoidal approximation of fuzzy numbers with respect to the distance based on bi-symmetrical weighted functions are proposed. It is shown that the adequate approximation operator is chosen with respect both to the global spread of a fuzzy number and the size of possible asymmetry between the spread of the left-hand and right-hand part of a fuzzy number.
引用
收藏
页码：1531 / 1534
页数：4
相关论文
共 50 条
  • [31] Fuzzy distance of trapezoidal fuzzy numbers and application
    Chen, Shanhuo
    Wang, Chienchung
    INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2008, 4 (06): : 1445 - 1454
  • [32] Fuzzy linear programs with trapezoidal fuzzy numbers
    Ganesan, K
    Veeramani, P
    ANNALS OF OPERATIONS RESEARCH, 2006, 143 (01) : 305 - 315
  • [33] Fuzzy linear programs with trapezoidal fuzzy numbers
    K. Ganesan
    P. Veeramani
    Annals of Operations Research, 2006, 143 : 305 - 315
  • [34] Approximations of fuzzy numbers by step type fuzzy numbers
    Wang, Guixiang
    Li, Jing
    FUZZY SETS AND SYSTEMS, 2017, 310 : 47 - 59
  • [35] Approximation of fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval
    Ban, Adrian
    FUZZY SETS AND SYSTEMS, 2008, 159 (11) : 1327 - 1344
  • [36] Ranking of Trapezoidal Intuitionistic Fuzzy Numbers
    De, P. K.
    Das, Debaroti
    2012 12TH INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEMS DESIGN AND APPLICATIONS (ISDA), 2012, : 184 - 188
  • [37] Note on "Trapezoidal approximation of fuzzy numbers"
    Allahviranloo, T.
    Firozja, M. Adabitabar
    FUZZY SETS AND SYSTEMS, 2007, 158 (07) : 755 - 756
  • [38] Fuzzy Regression Analysis using Trapezoidal Fuzzy Numbers
    Ismagilov, Ilyas Idrisovich
    Alsaied, Ghena
    INDUSTRIAL ENGINEERING AND MANAGEMENT SYSTEMS, 2020, 19 (04): : 896 - 900
  • [39] Trapezoidal approximations by preserving the interval-valued possibilistic mean of fuzzy numbers with restrictions on support and core
    Xie, Hai-bin
    2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2015, : 2868 - 2873
  • [40] Approximation of fuzzy numbers by trapezoidal fuzzy numbers preserving the core and the expected value
    Brandas, Adriana
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2011, 56 (02): : 247 - 259
12345