Linguistic Intuitionistic Fuzzy Group Decision Making Based on Aggregation Operators

被引：27
作者：
Yuan, Ruiping [1 ]
Tang, Jie [2 ]
Meng, Fanyong [2 ,3 ]
机构：
[1] Beijing Wuzi Univ, Sch Informat, Beijing 101149, Peoples R China
[2] Cent S Univ, Sch Business, Changsha 410083, Hunan, Peoples R China
[3] Nanjing Univ Informat Sci & Technol, Sch Management & Econ, Nanjing 210044, Jiangsu, Peoples R China
来源：
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS | 2019年 / 21卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Group decision making; Linguistic intuitionistic fuzzy variable; Aggregation operator; Shapley function; SETS; NUMBERS;
D O I：
10.1007/s40815-018-0582-4
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper researches decision making with linguistic intuitionistic fuzzy variables. Several linguistic intuitionistic fuzzy operations are first defined. Then, several linguistic intuitionistic fuzzy aggregation operators are provided, including the linguistic intuitionistic fuzzy hybrid weightedarithmetical averaging operator, and the linguistic intuitionistic fuzzy hybrid weightedgeometric mean operator. Considering the interactive characteristics between the weights of elements in a set, several linguistic intuitionistic fuzzy Shapley aggregation operators are presented, including the linguistic intuitionistic fuzzy hybrid Shapley arithmetical averaging operator, and the linguistic intuitionistic fuzzy hybrid Shapley geometric mean operator. To ensure the application reasonably, several desirable properties are discussed. When the weighting information is incompletely known, models for the optimal fuzzy and additive measures are constructed. After that, an approach to multi-criteria group decision making with linguistic intuitionistic fuzzy information is performed. Finally, a practical example about evaluating different types of engines is provided to illustrate the developed procedure.
引用
收藏
页码：407 / 420
页数：14
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