Analytical Solution for the Linguistic Weighted Average Problem

被引：0
作者：
Liu, Xinwang [1 ]
Xu, Yong [1 ]
Wu, Tong [1 ]
Li, Na [1 ]
机构：
[1] Southeast Univ, Sch Econ & Management, Nanjing 210096, Jiangsu, Peoples R China
来源：
2014 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE) | 2014年
关键词：
Linguistic weighted average(LWA); fuzzy weighted average (FWA); discrete alpha -cuts; Karnik-Mendel (KM) algorithm; analytical solution method; KARNIK-MENDEL ALGORITHMS; TYPE-2; FUZZY-SETS; AGGREGATION; INFORMATION; OPERATORS; TOPSIS;
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：
The linguistic weighted average (LWA) of interval type-2 fuzzy sets is an extension of the fuzzy weighted average (FWA) of type-1 fuzzy sets. Currently, the commonly used methods of both FWA and LWA are based on alpha-cuts decomposition of the type-1 of type-2 fuzzy sets, which involves large amount of calculations, and the result is not accurate. In this paper, we propose a new algorithm to obtain the analytical solution methods, which is more accurate and efficient than the current alpha-cuts methods. Some properties of the algorithms are discussed. A numerical example is used to illustrate our new proposed algorithms.
引用
收藏
页码：1786 / 1793
页数：8
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  • [1] A class of aggregation functions encompassing two-dimensional OWA operators
    Bustince, H.
    Calvo, T.
    De Baets, B.
    Fodor, J.
    Mesiar, R.
    Montero, J.
    Paternain, D.
    Pradera, A.
    [J]. INFORMATION SCIENCES, 2010, 180 (10) : 1977 - 1989
  • [2] A comparison of discrete algorithms for fuzzy weighted average
    Chang, Ping-Teng
    Hung, Kuo-Chen
    Lin, Kuo-Ping
    Chang, Ching-Hsiang
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2006, 14 (05) : 663 - 675
  • [3] FUZZY WEIGHTED AVERAGES AND IMPLEMENTATION OF THE EXTENSION PRINCIPLE
    DONG, WM
    WONG, FS
    [J]. FUZZY SETS AND SYSTEMS, 1987, 21 (02) : 183 - 199
  • [4] Corrections to Aggregation using the linguistic weighted average and interval Type-2 Fuzzy sets""
    Wu, Dongrui
    Mendel, Jerry M.
    [J]. IEEE Transactions on Fuzzy Systems, 2008, 16 (06) : 1664 - 1666
  • [5] Application of fuzzy calculations for improving portfolio matrices
    Ghazinoory, S.
    Zadeh, A. Esmail
    Kheirkhah, A. S.
    [J]. INFORMATION SCIENCES, 2010, 180 (09) : 1582 - 1590
  • [6] Aggregation operators for linguistic weighted information
    Herrera, F
    Herrera-Viedma, E
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS, 1997, 27 (05): : 646 - 656
  • [7] A decision support system for engineering design based on an enhanced fuzzy MCDM approach
    Hung, Kuo-Chen
    Julian, Peter
    Chien, Terence
    Jin, Warren Tsu-Huei
    [J]. EXPERT SYSTEMS WITH APPLICATIONS, 2010, 37 (01) : 202 - 213
  • [8] Centroid of a type-2 fuzzy set
    Karnik, NN
    Mendel, JM
    [J]. INFORMATION SCIENCES, 2001, 132 (1-4) : 195 - 220
  • [9] Evaluation of driver satisfaction of travel information on variable message signs using fuzzy aggregation
    Lee, Dongmin
    Lee, Chungwon
    Pietrucha, Martin T.
    [J]. JOURNAL OF ADVANCED TRANSPORTATION, 2008, 42 (01) : 5 - 22
  • [10] Application of the fuzzy weighted average in strategic portfolio management
    Lin, CH
    Tan, B
    Hsieh, PJ
    [J]. DECISION SCIENCES, 2005, 36 (03) : 489 - 511
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