Multicriteria Decision-Making Approach Based on Atanassov's Intuitionistic Fuzzy Sets With Incomplete Certain Information on Weights

被引:97
作者
Wang, Jian-Qiang [1 ]
Zhang, Hong-Yu [1 ]
机构
[1] Cent South Univ, Sch Business, Changsha 410083, Peoples R China
基金
中国国家自然科学基金;
关键词
Evidential reasoning; incomplete certain information; intuitionistic fuzzy sets (IFSs); multicriteria decision making; particle swarm optimization (PSO) algorithms; SIMILARITY MEASURES; VAGUE SETS;
D O I
10.1109/TFUZZ.2012.2210427
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
To handle multicriteria fuzzy decision-making problems, a new multicriteria decision-making method is proposed in which the information about criteria's weights is not completely certain, and the criteria values of alternatives are Atanassov's intuitionistic fuzzy sets (A-IFSs). Using evidential reasoning algorithms, the criteria values are aggregated; receiving the overall A-IFS for alternatives and the distances between each alternative and the ideal, as well as anti-ideal alternative, are computed. Combining the incomplete certain information of weights, a nonlinear programming model is developed and resolved by particle swarm optimization algorithms to obtain the optimal criteria's weights. The corresponding decision-making procedure is given in detail. Finally, two examples are given to show the feasibility and availability of the proposed method.
引用
收藏
页码:510 / 515
页数:6
相关论文
共 40 条
[1]   Optimization in an intuitionistic fuzzy environment [J].
Angelov, PP .
FUZZY SETS AND SYSTEMS, 1997, 86 (03) :299-306
[2]  
[Anonymous], 2010, Intuitionistic Fuzzy Sets: Theory and Applications
[3]  
Atanassov K., 1983, 7 ITKRS SESS SOF BUL
[4]   Two theorems for intuitionistic fuzzy sets [J].
Atanassov, KT .
FUZZY SETS AND SYSTEMS, 2000, 110 (02) :267-269
[5]   INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96
[6]   Aggregation for Atanassov's Intuitionistic and Interval Valued Fuzzy Sets: The Median Operator [J].
Beliakov, Gleb ;
Bustince, Humberto ;
James, Simon ;
Calvo, Tomasa ;
Fernandez, Javier .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2012, 20 (03) :487-498
[7]   Vague sets are intuitionistic fuzzy sets [J].
Bustince, H ;
Burillo, P .
FUZZY SETS AND SYSTEMS, 1996, 79 (03) :403-405
[8]   MEASURES OF SIMILARITY BETWEEN VAGUE SETS [J].
CHEN, SM .
FUZZY SETS AND SYSTEMS, 1995, 74 (02) :217-223
[9]   Similarity measures between vague sets and between elements [J].
Chen, SM .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 1997, 27 (01) :153-158
[10]   HANDLING MULTICRITERIA FUZZY DECISION-MAKING PROBLEMS BASED ON VAGUE SET-THEORY [J].
CHEN, SM ;
TAN, JM .
FUZZY SETS AND SYSTEMS, 1994, 67 (02) :163-172