Algorithm for Multiple Attribute Decision-Making with Interactive Archimedean Norm Operations Under Pythagorean Fuzzy Uncertainty

Authors

Lei Wang^{1, *,} , Harish Garg^{2, *,}

¹Department of Basic Teaching, Liaoning Technical University, Huludao, 125105, China

²School of Mathematics, Thapar Institute of Engineering and Technology, Deemed University, Patiala 147004, India

^*Corresponding author. Email: lntuwl@126.com and harishg58iitr@gmail.com

DOI

10.2991/ijcis.d.201215.002How to use a DOI?

Keywords

Multiple attribute decision-making; Archimedean norm; Pythagorean fuzzy sets; Aggregation operators; Operation laws

Abstract

Recently, a great attention is paid toward developing aggregation operators for Pythagorean fuzzy set (PFS). However, few of them have adopted the rules of Archimedean t-conorm and t-norm (ATT) to aggregate the numbers. Motivated by this, the keep interest of the present work is to define some Pythagorean fuzzy interaction aggregation operators with the aid of ATT. To do this, the objective of the work is divided into three folds. In the first fold, we define some interactive operations law for PFSs and propose their corresponding new interaction Pythagorean operators, namely Archimedean based Pythagorean fuzzy interactive weighted averaging (A-PFIWA) operator and Archimedean based Pythagorean fuzzy interactive weighted geometric (A-PFIWG) operator. In the second fold, we investigate their desirable properties and study the several special cases of the proposed ones with respect the existing ones. Lastly, we design an algorithm to solve the multiple attribute decision-making issues with Pythagorean fuzzy uncertainties and explain their utilization with a numerical example. Further, several examples are discussed to demonstrate the validity and superiority of the proposed method. The novelties of proposed operators are that they not only can offer a more flexible method via selecting diverse forms of ATT, but also can reflect the interactive influence among membership degree and nonmembership degree for PFSs.

Copyright

© 2021 The Authors. Published by Atlantis Press B.V.

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)

TY  - JOUR
AU  - Lei Wang
AU  - Harish Garg
PY  - 2020
DA  - 2020/12/24
TI  - Algorithm for Multiple Attribute Decision-Making with Interactive Archimedean Norm Operations Under Pythagorean Fuzzy Uncertainty
JO  - International Journal of Computational Intelligence Systems
SP  - 503
EP  - 527
VL  - 14
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.201215.002
DO  - 10.2991/ijcis.d.201215.002
ID  - Wang2020
ER  -