International Journal of Computational Intelligence Systems

Volume 12, Issue 2, 2019, Pages 1557 - 1574

2-Dimension Linguistic Bonferroni Mean Aggregation Operators and Their Application to Multiple Attribute Group Decision Making

Authors
Jianbin Zhao1, 2, Hua Zhu1, 2, *
1 School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, Henan, 450001, China
2 Henan Key Laboratory of Financial Engineering, Zhengzhou University, Zhengzhou, Henan, 450001, China
*Corresponding author. Email: zhuhua@zzu.edu.cn
Corresponding Author
Hua Zhu
Received 22 January 2019, Accepted 18 November 2019, Available Online 6 December 2019.
DOI
https://doi.org/10.2991/ijcis.d.191125.001How to use a DOI?
Keywords
MAGDM, Bonferroni mean operator, 2-dimension linguistic weight Bonferroni mean aggregation operator, 2-dimension linguistic variable, 2-dimension linguistic lattice implication algebra
Abstract

The aim of this paper is to provide a multiple attribute group decision making (MAGDM) method based on the 2-dimension linguistic weight Bonferroni mean aggregation (2DLWBMA) operator. Firstly, the new operations of 2-dimension linguistic variables are defined. Then, the 2-dimension linguistic Bonferroni mean aggregation operator is proposed to describe the correlations of input arguments. Subsequently, the 2DLWBMA operator is investigated to consider the importance of attributes. Furthermore, a novel MAGDM method is introduced and two illustrative examples are given.

Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
12 - 2
Pages
1557 - 1574
Publication Date
2019/12
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
https://doi.org/10.2991/ijcis.d.191125.001How to use a DOI?
Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Jianbin Zhao
AU  - Hua Zhu
PY  - 2019
DA  - 2019/12
TI  - 2-Dimension Linguistic Bonferroni Mean Aggregation Operators and Their Application to Multiple Attribute Group Decision Making
JO  - International Journal of Computational Intelligence Systems
SP  - 1557
EP  - 1574
VL  - 12
IS  - 2
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.191125.001
DO  - https://doi.org/10.2991/ijcis.d.191125.001
ID  - Zhao2019
ER  -