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 the generalized Bagley–Torvik equation
Denghao Pang
Wei Jiang
Jun Du
Azmat Ullah Khan Niazi
Advances in Difference Equations, 2019
[42] Generalized TODIM method based on symmetric intuitionistic fuzzy Jensen-Shannon divergence
Wu, Xinxing
Zhu, Zhiyi
Chen, Guanrong
Pedrycz, Witold
Liu, Lantian
Aggarwal, Manish
EXPERT SYSTEMS WITH APPLICATIONS, 2024, 237
[43] On Hesitant Fuzzy Reducible Weighted Bonferroni Mean and Its Generalized Form for Multicriteria Aggregation
Zhou, Wei
JOURNAL OF APPLIED MATHEMATICS, 2014,
[44] Green Suppliers Performance Evaluation in Belt and Road Using Fuzzy Weighted Average with Social Media Information
Lin, Kuo-Ping
Hung, Kuo-Chen
Lin, Yu-Ting
Hsieh, Yao-Hung
SUSTAINABILITY, 2018, 10 (01)
[45] Interval-valued Intuitionistic Fuzzy TOPSIS method for Supplier Selection Problem
Tiwari, Ashutosh
Lohani, Q. M. Danish
Muhuri, Pranab K.
2020 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2020,
[46] Analytical solution of generalized coupled thermoelasticity problem in a rotating disk subjected to thermal and mechanical shock loads
Entezari, Ayoob
Kouchakzadeh, Mohammad Ali
JOURNAL OF THERMAL STRESSES, 2016, 39 (12) : 1588 - 1609
[47] Generalized Intuitionistic Fuzzy Einstein Weighted Averaging Aggregation operator
Joshi, Bhagawati Prasad
Kharayat, Pushpendra Singh
2015 INTERNATIONAL CONFERENCE ON COMPUTER, COMMUNICATION AND CONTROL (IC4), 2015,
[48] Generalized Intuitionistic Fuzzy Einstein Weighted Averaging Aggregation operator
Joshi, Bhagawati Prasad
Kharayat, Pushpendra Singh
2015 International Conference on Computing, Communication and Security (ICCCS), 2015,
[49] On the Analytical Solution of the FDTD Method
Fan, Wei
Chen, Zhizhang
Yang, Shunchuan
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 2016, 64 (11) : 3370 - 3379
[50] Fuzzy Weighted Average Based on Left and Right Scores in Malaysia Tourism Industry
Kamis, Nor Hanimah
Abdullah, Kamilah
Zulkifli, Muhammad Hazim
Sahlan, Shahrazali
Yunus, Syaizzal Mohd
PROCEEDINGS OF THE 20TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM20): RESEARCH IN MATHEMATICAL SCIENCES: A CATALYST FOR CREATIVITY AND INNOVATION, PTS A AND B, 2013, 1522 : 766 - 772

← 1 2 3 4 5 →