The continuous ordered weighted geometric operator and its application to decision making

被引:190
作者
Yager, RR [1 ]
Xu, ZS
机构
[1] Iona Coll, Inst Machine Intelligence, New Rochelle, NY 10801 USA
[2] Tsinghua Univ, Sch Econ & Management, Dept Management Sci & Engn, Beijing 100084, Peoples R China
基金
中国国家自然科学基金;
关键词
decision making; C-OWA operator; C-OWG operator; interval multiplicative preference relation;
D O I
10.1016/j.fss.2005.12.001
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The aim of this paper is to develop a continuous ordered weighted geometric (C-OWG) operator, which is based on the continuous ordered weighted averaging (C-OWA) operator recently introduced by the author and the geometric mean. We study some desirable properties of the C-OWG operator, and present its application to decision making with interval multiplicative preference relation, and finally, an illustrative example is pointed out. (C) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:1393 / 1402
页数:10
相关论文
共 28 条
[1]  
Alonso S, 2004, LECT NOTES ARTIF INT, V3131, P227
[2]  
[Anonymous], 1997, The Ordered Weighted Averaging Operators: Theory and Applications
[3]  
[Anonymous], NONCONVENTIONAL PREF
[4]  
[Anonymous], 2002, AGGREGATION OPERATOR, DOI DOI 10.1007/978-3-7908-1787-4
[5]   PREFERENCE SIMULATION AND PREFERENCE PROGRAMMING - ROBUSTNESS ISSUES IN PRIORITY DERIVATION [J].
ARBEL, A ;
VARGAS, LG .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1993, 69 (02) :200-209
[6]   INTERVAL VALUED INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, K ;
GARGOV, G .
FUZZY SETS AND SYSTEMS, 1989, 31 (03) :343-349
[7]   Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations [J].
Chiclana, F ;
Herrera, F ;
Herrera-Viedma, E .
FUZZY SETS AND SYSTEMS, 2001, 122 (02) :277-291
[8]   Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations [J].
Chiclana, F ;
Herrera, F ;
Herrera-Viedma, E .
FUZZY SETS AND SYSTEMS, 1998, 97 (01) :33-48
[9]  
Chiclana F, 2000, P 8 INT C INF PROC M, V22, P985
[10]   EIGENWEIGHT VECTORS AND LEAST-DISTANCE APPROXIMATION FOR REVEALED PREFERENCE IN PAIRWISE WEIGHT RATIOS [J].
COGGER, KO ;
YU, PL .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1985, 46 (04) :483-491