International Journal of Computational Intelligence Systems

<Previous Article In Issue
Next Article In Issue>
Volume 12, Issue 2, 2019, Pages 1465 - 1496

A Method to Multi-Attribute Group Decision-Making Problem with Complex q-Rung Orthopair Linguistic Information Based on Heronian Mean Operators

Authors
Peide Liu1, 3, *, Zeeshan Ali2, Tahir Mahmood2
1School of Economics and Management, Civil Aviation University of China, Tianjin, China
2Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
3School of Management Science and Engineering, Shandong University of Finance and Economics, Shandong Province, China
*Corresponding author. Email: peide.liu@gmail.com
Corresponding Author
Peide Liu
Received 29 September 2019, Accepted 25 October 2019, Available Online 25 November 2019.
DOI
10.2991/ijcis.d.191030.002How to use a DOI?
Keywords
Complex q-rung orthopair fuzzy sets; Linguistic sets; Complex q-rung orthopair linguistic sets; Heronian mean operators; Geometric Heronian mean operators
Abstract

The notions of complex q-rung orthopair fuzzy sets (Cq-ROFSs) and linguistic sets (LSs) are two different concepts to deal with uncertain information in multi-attribute group decision-making (MAGDM) problems. The Heronain mean (HM) and geometric Heronain mean (GHM) operators are an effective tool used to aggregate some q-rung orthopair linguistic fuzzy numbers (q-ROLFNs) into a single element. The purpose of this manuscript is to propose a new concept called complex q-rung orthopair linguistic sets (Cq-ROLSs) to cope with complex uncertain information in real decision-making problems. Then the fundamental laws and their examples of the Cq-ROLSs are also given. Furthermore, the notions of complex q-rung orthopair linguistic Heronian mean (Cq-ROLHM) operator, complex q-rung orthopair linguistic weighted Heronian mean (Cq-ROLWHM) operator, complex q-rung orthopair linguistic geometric Heronian mean (Cq-ROLGHM) operator, complex q-rung orthopair linguistic weighted geometric Heronian mean (Cq-ROLWGHM) operator are proposed and their basic properties are also discussed. Moreover, we develop a novel approach to MAGDM using proposed operators and a numerical example is used to describe the flexibility and explicitly of the initiated operators. In last, the comparison between proposed method and existing work is also discussed in detail.

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/).

Download article (PDF)
View full text (HTML)

<Previous Article In Issue
Next Article In Issue>
Journal
International Journal of Computational Intelligence Systems
Volume-Issue
12 - 2
Pages
1465 - 1496
Publication Date
2019/11/25
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.d.191030.002How 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

risenwbib
TY  - JOUR
AU  - Peide Liu
AU  - Zeeshan Ali
AU  - Tahir Mahmood
PY  - 2019
DA  - 2019/11/25
TI  - A Method to Multi-Attribute Group Decision-Making Problem with Complex q-Rung Orthopair Linguistic Information Based on Heronian Mean Operators
JO  - International Journal of Computational Intelligence Systems
SP  - 1465
EP  - 1496
VL  - 12
IS  - 2
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.191030.002
DO  - 10.2991/ijcis.d.191030.002
ID  - Liu2019
ER  -