AN ANALYTICAL SOLUTION METHOD FOR THE GENERALIZED FUZZY WEIGHTED AVERAGE PROBLEM

被引：10

作者：

Liu, Xinwang ^{[1
]}

Wang, Ying-Ming ^{[2
]}

机构：

[1] Southeast Univ, Sch Econ & Management, Nanjing 210096, Jiangsu, Peoples R China

[2] Fuzhou Univ, Sch Publ Adm, Fuzhou 350002, Peoples R China

来源：

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 2013年 / 21卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Fuzzy weighted average; generalized fuzzy weighted mean; analytical solution; KARNIK-MENDEL ALGORITHMS; PROGRAMMING APPROACH; AGGREGATION; INFORMATION; TOPSIS; SATISFACTION; OPERATORS; SETS;

D O I：

10.1142/S0218488513500232

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Based on the current developments of fuzzy weighted average and generalized fuzzy weighted average, especially Karnik-Mendel (KM) algorithms and the works of Wang and Luo (Generalised fuzzy weighted mean and its applications, International Journal of General Systems, 2009, 38, 533-546), the paper analyses some properties of the generalized fuzzy weighted mean (GFWM) and proposes analytical solution method for the GFWM problem. The solution processes and the final solution forms are more simple and accurate than the current GFWM solution, which use samples of the alpha-cuts and get the final solutions approximately. Numerical examples illustrate the analytical solution computing processes for fuzzy weighted average (FWA), fuzzy weighted harmonic mean (FWHM), fuzzy weighted geometric mean (FWGM) and GFWM with exponential and power functions, respectively.

引用

页码：455 / 480

页数：26

共 50 条

[41] Analytical solution of phototransport problem under the presence of a small-signal photocurrent based on method of weighted residuals
Badran, R., I
RESULTS IN PHYSICS, 2020, 17
[42] WEIGHTED AVERAGE OF VOLTAGE METHOD
GROMETSTEIN, AA
PROCEEDINGS OF THE INSTITUTE OF RADIO ENGINEERS, 1950, 38 (02): : 185 - 185
[43] INDUCED GENERALIZED AGGREGATION OPERATORS IN THE WEIGHTED AVERAGE
Merigo, Jose M.
INTELLIGENT DECISION MAKING SYSTEMS, VOL. 2, 2010, : 625 - +
[44] Generalized Jackknife Estimators of Weighted Average Derivatives
Cattaneo, Matias D.
Crump, Richard K.
Jansson, Michael
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2013, 108 (504) : 1243 - 1256
[45] ANALYTICAL-VARIATIONAL AND GENERALIZED WEIGHTED CONSERVATIVE INTEGRAL METHOD ON SOLUTION OF INTERFACIAL CRACKS WITH THEIR APPLICATIONS TO BIMETAL GLUED JOINTS
QINGCHUN, M
XING, Z
ENGINEERING FRACTURE MECHANICS, 1995, 52 (06) : 1127 - 1137
[46] A comparison of discrete algorithms for fuzzy weighted average
Chang, Ping-Teng
Hung, Kuo-Chen
Lin, Kuo-Ping
Chang, Ching-Hsiang
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2006, 14 (05) : 663 - 675
[47] Fractional programming approach to fuzzy weighted average
Kao, C. (ckao@mail.ncku.edu.tw), 2001, Elsevier (120)
[48] Analytical solution of the discrete ordinates problem by the decomposition method
Vargas, RMF
DeVilhena, MTMB
ANNALS OF NUCLEAR ENERGY, 1997, 24 (10) : 785 - 791
[49] ANALYTICAL DIRAC-FOCK SCF METHOD FOR GENERALIZED AVERAGE ENERGY OF CONFIGURATIONS
MATSUOKA, O
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1982, 51 (07) : 2263 - 2266
[50] Exact Membership Functions for the Fuzzy Weighted Average
van den Broek, Pim
Noppen, Joost
COMPUTATIONAL INTELLIGENCE, 2011, 343 : 85 - +

← 1 2 3 4 5 →