Multiattribute decision making based on interval-valued intuitionistic fuzzy values and linear programming methodology

被引:64
作者
Chen, Shyi-Ming [1 ]
Huang, Zhi-Cheng [1 ]
机构
[1] Natl Taiwan Univ Sci & Technol, Dept Comp Sci & Informat Engn, Taipei, Taiwan
关键词
Intuitionistic fuzzy sets; Interval-valued intuitionistic fuzzy sets; Interval-valued intuitionistic fuzzy values; Linear programming methodology; Multiattribute decision making; SETS;
D O I
10.1016/j.ins.2016.11.010
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In recent years, some multiattribute decision making (MADM) methods have been presented based on interval-valued intuitionistic fuzzy sets (IVIFSs). In this paper, we propose a new MADM method based on interval-valued intuitionistic fuzzy values (IVIFVs) and the linear programming methodology, where the weights of attributes and the evaluating values of attributes of the alternatives given by the decision maker are represented by IVIFVs. The linear programming methodology is used to obtain the optimal weights of the attributes. The proposed method has the advantage that it can overcome the drawbacks of the existing MADM methods for MADM in interval-valued intuitionistic fuzzy environments. The proposed method provides us with a very useful way for MADM in interval valued intuitionistic fuzzy environments. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码:341 / 351
页数:11
相关论文
共 38 条
[1]   Multi-objective evolutionary design of granular rule-based classifiers [J].
Antonelli M. ;
Ducange P. ;
Lazzerini B. ;
Marcelloni F. .
Granular Computing, 2016, 1 (01) :37-58
[2]   A neurofuzzy algorithm for learning from complex granules [J].
Apolloni, Bruno ;
Bassis, Simone ;
Rota, Jacopo ;
Galliani, Gian Luca ;
Gioia, Matteo ;
Ferrari, Luca .
GRANULAR COMPUTING, 2016, 1 (04) :225-246
[3]   INTERVAL VALUED INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, K ;
GARGOV, G .
FUZZY SETS AND SYSTEMS, 1989, 31 (03) :343-349
[4]   INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96
[5]   Multiple attribute decision making based on novel interval-valued intuitionistic fuzzy geometric averaging operators [J].
Chen, Shyi-Ming ;
Tsai, Wei-Hsiang .
INFORMATION SCIENCES, 2016, 367 :1045-1065
[6]   Multiattribute Decision Making Based on Interval-Valued Intuitionistic Fuzzy Sets, PSO Techniques, and Evidential Reasoning Methodology [J].
Chen, Shyi-Ming ;
Chiou, Chu-Han .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2015, 23 (06) :1905-1916
[7]   Multicriteria fuzzy decision making based on interval-valued intuitionistic fuzzy sets [J].
Chen, Shyi-Ming ;
Yang, Ming-Wey ;
Yang, Szu-Wei ;
Sheu, Tian-Wei ;
Liau, Churn-Jung .
EXPERT SYSTEMS WITH APPLICATIONS, 2012, 39 (15) :12085-12091
[8]   Multiattribute decision making based on interval-valued intuitionistic fuzzy values [J].
Chen, Shyi-Ming ;
Lee, Li-Wei ;
Liu, Hsiang-Chuan ;
Yang, Szu-Wei .
EXPERT SYSTEMS WITH APPLICATIONS, 2012, 39 (12) :10343-10351
[9]   An interval-valued intuitionistic fuzzy permutation method with likelihood-based preference functions and its application to multiple criteria decision analysis [J].
Chen, Ting-Yu .
APPLIED SOFT COMPUTING, 2016, 42 :390-409
[10]   Multiple criteria decision analysis using a likelihood-based outranking method based on interval-valued intuitionistic fuzzy sets [J].
Chen, Ting-Yu .
INFORMATION SCIENCES, 2014, 286 :188-208