Generalized power aggregation operators and their applications in group decision making

被引：124
作者：
Zhou, Ligang [1 ]
Chen, Huayou [1 ]
Liu, Jinpei [2 ]
机构：
[1] Anhui Univ, Sch Math Sci, Jiulong Rd, Hefei 230601, Anhui, Peoples R China
[2] Tianjin Univ, Sch Management, Tianjin 300072, Peoples R China
来源：
COMPUTERS & INDUSTRIAL ENGINEERING | 2012年 / 62卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Group decision making; Aggregation operator; OWA operator; Generalized power average operator; Uncertian generalized power average operator;
D O I：
10.1016/j.cie.2011.12.025
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we investigate a generalized power average (GPA) operator and its weighted form, which are on the basis of the power average (PA) operator and the generalized mean, and develop a generalized power ordered weighted average (GPOWA) operator based on the power ordered weighted average (POWA) operator. Then, we extend these operators to uncertain environments and present an uncertain generalized power average (UGPA) operator and its weighted form, and an uncertain generalized power ordered weighted average (UGPOWA) operator to aggregate the input arguments taking the form of interval of numerical values. We also extend the GPA operator and the GPOWA operator to intuitionistic fuzzy environment, and obtain the generalized intuitionistic fuzzy power averaging (GIFPA) operator and the generalized intuitionistic fuzzy power ordered weighted averaging (GIFPOWA) operator. Moreover, some properties of these operators are studied. We also present new approaches on the basis of the proposed operators in an example of strategic decision making. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：989 / 999
页数：11
相关论文
共 35 条
[1]  
[Anonymous], 1997, The Ordered Weighted Averaging Operation: Theory, Methodology and Applications
[2]   INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96
[3]  
Chiclana F., 2000, P 8 INT C INF PROC M, P985
[4]   GENERALIZED MEANS AS MODEL OF COMPENSATIVE CONNECTIVES [J].
DYCKHOFF, H ;
PEDRYCZ, W .
FUZZY SETS AND SYSTEMS, 1984, 14 (02) :143-154
[5]   Multiperson decision-making based on multiplicative preference relations [J].
Herrera, F ;
Herrera-Viedma, E ;
Chiclana, F .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2001, 129 (02) :372-385
[6]   The GOWA operator based approach to multiattribute decision making using intuitionistic fuzzy sets [J].
Li, Deng-Feng .
MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (5-6) :1182-1196
[7]   The multiple-attribute decision making method based on the TFLHOWA operator [J].
Liu, Peide ;
Su, Yu .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (09) :2609-2615
[8]   Fuzzy induced generalized aggregation operators and its application in multi-person decision making [J].
Merigo, Jose M. ;
Gil-Lafuente, Anna M. .
EXPERT SYSTEMS WITH APPLICATIONS, 2011, 38 (08) :9761-9772
[9]   Decision-making with distance measures and induced aggregation operators [J].
Merigo, Jose M. ;
Casanovas, Montserrat .
COMPUTERS & INDUSTRIAL ENGINEERING, 2011, 60 (01) :66-76
[10]   Induced and uncertain heavy OWA operators [J].
Merigo, Jose M. ;
Casanovas, Montserrat .
COMPUTERS & INDUSTRIAL ENGINEERING, 2011, 60 (01) :106-116
1234