SOME HERONIAN MEAN OPERATORS WITH 2-TUPLE LINGUISTIC INFORMATION AND THEIR APPLICATION TO MULTIPLE ATTRIBUTE GROUP DECISION MAKING

被引:23
作者
Li, Ye [1 ,2 ]
Liu, Peide [3 ]
机构
[1] Beijing Jiaotong Univ, Sch Econ & Management, Beijing 100044, Peoples R China
[2] Beijing Engn Res Ctr Green Bldg Technol, Beijing 100070, Peoples R China
[3] Shandong Univ Finance & Econ, Sch Management Sci & Engn, Jinan 250014, Peoples R China
基金
中国国家自然科学基金;
关键词
2-tuple linguistic information; Heronian mean operator; 2-tuple linguistic Heronian mean operator (2TLHM); 2-tuple linguistic weighted Heronian mean operator (2TLWHB); multiple attribute group decision making (MAGDM); C44; C60; AGGREGATION OPERATORS; VARIABLES; MODEL;
D O I
10.3846/20294913.2015.1055614
中图分类号
F [经济];
学科分类号
02 ;
摘要
With respect to multi-attribute group decision-making problems, in which attribute values take the form of 2-tuple linguistic information, a new decision making method that considers the interrelationships of attribute values is proposed. Firstly, some new aggregation operators of 2-tuple linguistic information based on Heronian mean are proposed, such as 2-tuple linguistic Heronian mean operator (2TLHM) and 2-tuple linguistic weighted Heronian mean operator (2TL-WHB), and some desired properties of the proposed operators are studied. Then, a method based on the 2TLHM and 2TLWHB operators for multiple attribute group decision making is developed. In this approach, the interrelationships of attribute values are considered. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.
引用
收藏
页码:797 / 814
页数:18
相关论文
共 38 条
[21]   Induced 2-tuple linguistic generalized aggregation operators and their application in decision-making [J].
Merigo, Jose M. ;
Gil-Lafuente, Anna M. .
INFORMATION SCIENCES, 2013, 236 :1-16
[22]   UNCERTAIN GROUP DECISION-MAKING WITH INDUCED AGGREGATION OPERATORS AND EUCLIDEAN DISTANCE [J].
Su, Weihua ;
Zeng, Shouzhen ;
Ye, Xiaojia .
TECHNOLOGICAL AND ECONOMIC DEVELOPMENT OF ECONOMY, 2013, 19 (03) :431-447
[23]  
Sykora S., 2009, MATH MEANS AVERAGES
[24]   SOME HARMONIC AGGREGATION OPERATORS WITH 2-TUPLE LINGUISTIC ASSESSMENT INFORMATION AND THEIR APPLICATION TO MULTIPLE ATTRIBUTE GROUP DECISION MAKING [J].
Wei, G. W. .
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2011, 19 (06) :977-998
[25]   Some dependent aggregation operators with 2-tuple linguistic information and their application to multiple attribute group decision making [J].
Wei, Guiwu ;
Zhao, Xiaofei .
EXPERT SYSTEMS WITH APPLICATIONS, 2012, 39 (05) :5881-5886
[26]   Some proportional 2-tuple geometric aggregation operators for linguistic decision making [J].
Xu, Yejun ;
Shi, Panfeng ;
Merigo, Jose M. ;
Wang, Huimin .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2013, 25 (03) :833-843
[27]   Approaches based on 2-tuple linguistic power aggregation operators for multiple attribute group decision making under linguistic environment [J].
Xu, Yejun ;
Wang, Huimin .
APPLIED SOFT COMPUTING, 2011, 11 (05) :3988-3997
[28]  
Xu Ze-shui, 2004, Control and Decision, V19, P778
[29]   A note on linguistic hybrid arithmetic averaging operator in multiple attribute group decision making with linguistic information [J].
Xu, Zeshui .
GROUP DECISION AND NEGOTIATION, 2006, 15 (06) :593-604
[30]  
[徐泽水 XU Zeshui], 2006, [管理科学学报, Journal of management sciences in china], V9, P9