Multiattribute decision making based on interval-valued intuitionistic fuzzy values

被引:102
作者
Chen, Shyi-Ming [1 ,2 ]
Lee, Li-Wei [3 ]
Liu, Hsiang-Chuan [4 ]
Yang, Szu-Wei [5 ]
机构
[1] Natl Taiwan Univ Sci & Technol, Dept Comp Sci & Informat Engn, Taipei, Taiwan
[2] Natl Taichung Univ Educ, Grad Inst Educ Measurement & Stat, Taichung, Taiwan
[3] De Lin Inst Technol, Dept Comp & Commun Engn, New Taipei City, Taiwan
[4] Asia Univ, Dept Biomed Informat, Taichung, Taiwan
[5] Natl Taichung Univ Educ, Dept Educ, Taichung, Taiwan
关键词
Multiattribute decision making; Interval-valued intuitionistic fuzzy sets; Interval-valued intuitionistic fuzzy values; Karnik-Mendel algorithms; Intuitionistic fuzzy weighted average operator; Interval-valued intuitionistic fuzzy weighted average operator; Likelihood-based comparison relations; WEIGHTED AVERAGE; SET THEORY;
D O I
10.1016/j.eswa.2012.01.027
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, we present a new multiattribute decision making method based on the proposed interval-valued intuitionistic fuzzy weighted average operator and the proposed fuzzy ranking method for intuitionistic fuzzy values. First, we briefly review the concepts of interval-valued intuitionistic fuzzy sets and the Karnik-Mendel algorithms. Then, we propose the intuitionistic fuzzy weighted average operator and interval-valued intuitionistic fuzzy weighted average operator, based on the traditional weighted average method and the Karnik-Mendel algorithms. Then, we propose a fuzzy ranking method for intuitionistic fuzzy values based on likelihood-based comparison relations between intervals. Finally, we present a new multiattribute decision making method based on the proposed interval-valued intuitionistic fuzzy weighted average operator and the proposed fuzzy ranking method for intuitionistic fuzzy values. The proposed method provides us with a useful way for multiattribute decision making based on interval-valued intuitionistic fuzzy values. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:10343 / 10351
页数:9
相关论文
共 29 条
[1]   Intuitionistic fuzzy interpretations of multi-criteria multi-person and multi-measurement tool decision making [J].
Atanassov, K ;
Pasi, G ;
Yager, R .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2005, 36 (14) :859-868
[2]   INTERVAL VALUED INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, K ;
GARGOV, G .
FUZZY SETS AND SYSTEMS, 1989, 31 (03) :343-349
[3]   INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96
[4]   Vague sets are intuitionistic fuzzy sets [J].
Bustince, H ;
Burillo, P .
FUZZY SETS AND SYSTEMS, 1996, 79 (03) :403-405
[5]   An application of intuitionistic fuzzy sets in medical diagnosis [J].
De, SK ;
Biswas, R ;
Roy, AR .
FUZZY SETS AND SYSTEMS, 2001, 117 (02) :209-213
[6]   On the relationship between some extensions of fuzzy set theory [J].
Deschrijver, G ;
Kerre, EE .
FUZZY SETS AND SYSTEMS, 2003, 133 (02) :227-235
[7]   On the position of intuitionistic fuzzy set theory in the framework of theories modelling imprecision [J].
Deschrijver, Glad ;
Kerre, Etienne E. .
INFORMATION SCIENCES, 2007, 177 (08) :1860-1866
[8]   Terminological difficulties in fuzzy set theory - The case of "Intuitionistic Fuzzy Sets" [J].
Dubois, D ;
Gottwald, S ;
Hajek, P ;
Kacprzyk, J ;
Prade, H .
FUZZY SETS AND SYSTEMS, 2005, 156 (03) :485-491
[9]   VAGUE SETS [J].
GAU, WL ;
BUEHRER, DJ .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1993, 23 (02) :610-614
[10]  
Hwang Ching-Lai, 1981, MULTIPLE ATTRIBUTE D, P58