Group Decision-Making Using Complex q-Rung Orthopair Fuzzy Bonferroni Mean

Authors

Peide Liu^{1, *,} , Zeeshan Ali², Tahir Mahmood^2, , Nasruddin Hassan^3,

¹School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan 250015, China

²Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan

³School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Malaysia

^*Corresponding author. Email: peide.liu@gmail.com

DOI

10.2991/ijcis.d.200514.001How to use a DOI?

Keywords

Complex q-rung orthopair fuzzy sets; Bonferroni mean operators; Multi-attribute group decision-making problems

Abstract

Complex q-rung orthopair fuzzy set (CQROFS), as a modified notion of complex fuzzy set (CFS), is an important tool to cope with awkward and complicated information. CQROFS contains two functions which are called truth grade and falsity grade by the form of complex numbers belonging to unit disc in a complex plane. The condition of CQROFS is that the sum of q-powers of the real part (Also for imaginary part) of the truth grade and real part (Also for imaginary part) of the falsity grade is limited to the unit interval. Bonferroni mean (BM) operator is an important and meaningful concept to examine the interrelationships between the different attributes. Keeping the advantages of the CQROFS and BM operator, in this manuscript, the complex q-rung orthopair fuzzy BM (CQROFBM) operator, complex q-rung orthopair fuzzy weighted BM (CQROFWBM) operator, complex q-rung orthopair fuzzy geometric BM (CQROFGBM) operator, and complex q-rung orthopair fuzzy weighted geometric BM (CQROFWGBM) operator are proposed, and some properties are discussed, further, based on the CQROFWGBM operator, a multi-attribute group decision-making (MAGDM) method is developed, and the ranking results are examined by score function. Finally, we give some numerical examples to verify the rationality of the established method, and show its advantages by comparative analysis with some existing methods.

Copyright

© 2020 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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TY  - JOUR
AU  - Peide Liu
AU  - Zeeshan Ali
AU  - Tahir Mahmood
AU  - Nasruddin Hassan
PY  - 2020
DA  - 2020/06/22
TI  - Group Decision-Making Using Complex q-Rung Orthopair Fuzzy Bonferroni Mean
JO  - International Journal of Computational Intelligence Systems
SP  - 822
EP  - 851
VL  - 13
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.200514.001
DO  - 10.2991/ijcis.d.200514.001
ID  - Liu2020
ER  -