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

[1] Analytical solution methods for the fuzzy weighted average
Liu, Xinwang
Mendel, Jerry M.
Wu, Dongrui
INFORMATION SCIENCES, 2012, 187 : 151 - 170
[2] Analytical Solution for the Linguistic Weighted Average Problem
Liu, Xinwang
Xu, Yong
Wu, Tong
Li, Na
2014 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2014, : 1786 - 1793
[3] FUZZY WEIGHTED AVERAGE Analytical Solution
van den Broek, Pim
Noppen, Joost
IJCCI 2009: PROCEEDINGS OF THE INTERNATIONAL JOINT CONFERENCE ON COMPUTATIONAL INTELLIGENCE, 2009, : 31 - +
[4] FUZZY WEIGHTED AVERAGE AS A FUZZIFIED AGGREGATION OPERATOR AND ITS PROPERTIES
Pavlacka, Ondaej
Pavlackova, Martina
Hetfleis, Vladislav
KYBERNETIKA, 2017, 53 (01) : 137 - 160
[5] Optimistic Fuzzy Weighted Average
Galichet, Sylvie
Boukezzoula, Reda
PROCEEDINGS OF THE JOINT 2009 INTERNATIONAL FUZZY SYSTEMS ASSOCIATION WORLD CONGRESS AND 2009 EUROPEAN SOCIETY OF FUZZY LOGIC AND TECHNOLOGY CONFERENCE, 2009, : 1851 - 1856
[6] An analytical solution to a fuzzy economic order quantity problem
Bjoerk, Kaj-Mikael
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2009, 50 (03) : 485 - 493
[7] An efficient fuzzy weighted average algorithm for the military UAV selecting under group decision-making
Lin, Kuo-Ping
Hung, Kuo-Chen
KNOWLEDGE-BASED SYSTEMS, 2011, 24 (06) : 877 - 889
[8] Fuzzy weighted average: A max-min paired elimination method
Guh, YY
Hon, CC
Wang, KM
Lee, ES
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1996, 32 (08) : 115 - 123
[9] Technical importance ratings in fuzzy QFD by integrating fuzzy normalization and fuzzy weighted average
Wang, Ying-Ming
Chin, Kwai-Sang
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (11) : 4207 - 4221
[10] An efficient algorithm for fuzzy weighted average
Lee, DH
Park, DH
FUZZY SETS AND SYSTEMS, 1997, 87 (01) : 39 - 45

← 1 2 3 4 5 →