Some 2-tuple linguistic Pythagorean Heronian mean operators and their application to multiple attribute decision-making

被引:57
作者
Deng, Xiumei [1 ]
Wang, Jie [2 ]
Wei, Guiwu [2 ]
机构
[1] Sichuan Normal Univ, Coll Math Sci, Chengdu, Sichuan, Peoples R China
[2] Sichuan Normal Univ, Sch Business, Chengdu 610101, Sichuan, Peoples R China
基金
中国国家自然科学基金;
关键词
Multiple attribute decision making (MADM); 2-tuple linguistic Pythagorean fuzzy numbers; G2TLPFHM operator; G2TLPFWHM operator; green supplier selection; HAMACHER AGGREGATION OPERATORS; GREEN SUPPLIER SELECTION; REPRESENTATION MODEL; SIMILARITY MEASURES; PROGRAMMING METHOD; TOPSIS METHOD; TODIM METHOD; FUZZY-SETS; EXTENSION; PROJECT;
D O I
10.1080/0952813X.2019.1579258
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, we expand the generalised Heronian mean (GHM) operator, generalised weighted Heronian mean (GWHM), geometric Heronian mean (GHM) operator, and weighted geometric Heronian mean (WGHM) operator with 2-tuple linguistic Pythagorean fuzzy numbers (2TLPFNs) to propose generalised 2-tuple linguistic Pythagorean fuzzy Heronian mean (G2TLPFHM) operator, generalised 2-tuple linguistic Pythagorean fuzzy weighted Heronian mean (G2TLPFWHM) operator, 2-tuple linguistic Pythagorean fuzzy geometric Heronian mean (2TLPFGHM) operator, 2-tuple linguistic Pythagorean fuzzy weighted geometric Heronian mean (2TLPFWGHM) operator. Then, the MADM methods are proposed with these operators. In the end, we utilise an applicable example for green supplier selection to prove the proposed methods.
引用
收藏
页码:555 / 574
页数:20
相关论文
共 76 条
[1]  
Beliakov G., 2007, AGGREGATION FUNCTION
[2]  
Beliakov G, 2014, IEEE INT FUZZY SYST, P298, DOI 10.1109/FUZZ-IEEE.2014.6891595
[3]   Remoteness index-based Pythagorean fuzzy VIKOR methods with a generalized distance measure for multiple criteria decision analysis [J].
Chen, Ting-Yu .
INFORMATION FUSION, 2018, 41 :129-150
[4]   Models for Multiple Attribute Decision Making with Some 2-Tuple Linguistic Pythagorean Fuzzy Hamy Mean Operators [J].
Deng, Xiumei ;
Wang, Jie ;
Wei, Guiwu ;
Lu, Mao .
MATHEMATICS, 2018, 6 (11)
[5]   Models for Safety Assessment of Construction Project With Some 2-Tuple Linguistic Pythagorean Fuzzy Bonferroni Mean Operators [J].
Deng, Xiumei ;
Wei, Guiwu ;
Gao, Hui ;
Wang, Jie .
IEEE ACCESS, 2018, 6 :52105-52137
[6]   On Pythagorean and Complex Fuzzy Set Operations [J].
Dick, Scott ;
Yager, Ronald R. ;
Yazdanbakhsh, Omolbanin .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2016, 24 (05) :1009-1021
[7]   Pythagorean fuzzy Hamacher Prioritized aggregation operators in multiple attribute decision making [J].
Gao, Hui .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2018, 35 (02) :2229-2245
[8]   Multiple attribute decision making based on interval-valued Pythagorean uncertain linguistic aggregation operators [J].
Gao, Hui ;
Wei, Gui-Wu .
INTERNATIONAL JOURNAL OF KNOWLEDGE-BASED AND INTELLIGENT ENGINEERING SYSTEMS, 2018, 22 (01) :59-81
[9]   Some Novel Pythagorean Fuzzy Interaction Aggregation Operators in Multiple Attribute Decision Making [J].
Gao, Hui ;
Lu, Mao ;
Wei, Guiwu ;
Wei, Yu .
FUNDAMENTA INFORMATICAE, 2018, 159 (04) :385-428
[10]   Dual Hesitant Bipolar Fuzzy Hamacher Prioritized Aggregation Operators in Multiple Attribute Decision Making [J].
Gao, Hui ;
Wei, Guiwu ;
Huang, Yuhan .
IEEE ACCESS, 2018, 6 :11508-11522