An Extended VIKOR Method for Decision Making Problem with Interval-Valued Linguistic Intuitionistic Fuzzy Numbers Based on Entropy

被引:16
作者
Liu, Peide [1 ]
Qin, Xiyou [1 ]
机构
[1] Shandong Univ Finance & Econ, Sch Management Sci & Engn, Jinan 250014, Shandong, Peoples R China
基金
中国国家自然科学基金;
关键词
multiple attribute decision making; interval-valued linguistic intuitionistic fuzzy numbers; interval-valued linguistic intuitionistic fuzzy entropy; VIKOR method; AGGREGATION OPERATORS; TERM SETS; INFORMATION; SELECTION; MODEL;
D O I
10.15388/Informatica.2017.151
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 this paper, with respect to how to express the complex fuzzy information, we proposed the concept of interval-valued linguistic intuitionistic fuzzy numbers (IVLIFNs), whose membership and non-membership are represented by interval-valued linguistic terms, then the Hamming distance is defined, further, we also proposed the interval-valued linguistic intuitionistic fuzzy entropy. Considering that the VIKOR method can achieve the maximum "group utility" and minimum of "individual regret", we extended the VIKOR method to process the interval-valued linguistic intuitionistic fuzzy information (IVLIFI), and proposed an extended VIKOR method for the multiple attribute decision making (MADM) problems with IVLIFI. And an illustrative example shows the effectiveness of the proposed approach.
引用
收藏
页码:665 / 685
页数:21
相关论文
共 49 条
[1]   INTERVAL VALUED INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, K ;
GARGOV, G .
FUZZY SETS AND SYSTEMS, 1989, 31 (03) :343-349
[2]  
Atanassov K.T., 1989, FUZZY SETS SYSTEMS, V64, P159
[3]   MORE ON INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1989, 33 (01) :37-45
[4]   INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96
[5]   Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets [J].
Burillo, P ;
Bustince, H .
FUZZY SETS AND SYSTEMS, 1996, 78 (03) :305-316
[6]   An approach to multiple attribute group decision making based on linguistic intuitionistic fuzzy numbers [J].
Chen, Zichun ;
Liu, Penghui ;
Pei, Zheng .
INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, 2015, 8 (04) :747-760
[7]   Combining numerical and linguistic information in group decision making [J].
Delgado, M ;
Herrera, F ;
Herrera-Viedma, E ;
Martinez, L .
INFORMATION SCIENCES, 1998, 107 (1-4) :177-194
[8]   Consistency-Driven Automatic Methodology to Set Interval Numerical Scales of 2-Tuple Linguistic Term Sets and Its Use in the Linguistic GDM With Preference Relation [J].
Dong, Yucheng ;
Herrera-Viedma, Enrique .
IEEE TRANSACTIONS ON CYBERNETICS, 2015, 45 (04) :780-792
[9]  
Du Y, 2011, INFORMATION-TOKYO, V14, P2575
[10]  
Gao Zhihai, 2012, Computer Engineering and Applications, V48, P53, DOI 10.3778/j.issn.1002-8331.2012.02.015