Open Access
ARTICLE
Novel Decision Making Methodology under Pythagorean Probabilistic Hesitant Fuzzy Einstein Aggregation Information
Shahzaib Ashraf1, Bushra Batool2, Muhammad Naeem3,*
1
Institute of Mathematics, Khwaja Fareed University of Engineering & Information Technology, Rahim Yar Khan, 64200, Pakistan
2
Department of Mathematics, University of Sargodha, Sargodha, 40100, Pakistan
3
Department of Mathematics, Deanship of Applied Sciences, Umm Al-Qura University, Makkah, 24382, Saudi Arabia
* Corresponding Author: Muhammad Naeem. Email:
(This article belongs to this Special Issue: Decision making Modeling, Methods and Applications of Advanced Fuzzy Theory in Engineering and Science)
Computer Modeling in Engineering & Sciences 2023, 136(2), 1785-1811. https://doi.org/10.32604/cmes.2023.024851
Received 09 June 2022; Accepted 19 October 2022; Issue published 06 February 2023
Abstract
This research proposes multicriteria decision-making (MCDM)-based real-time Mesenchymal stem cells (MSC)
transfusion framework. The testing phase of the methodology denotes the ability to stick to plastic surfaces, the
upregulation and downregulation of certain surface protein markers, and lastly, the ability to differentiate into
various cell types. First, two scenarios of an enhanced dataset based on a medical perspective were created in the
development phase to produce varying levels of emergency. Second, for real-time monitoring of COVID-19 patients
with different emergency levels (i.e., mild, moderate, severe, and critical), an automated triage algorithm based on a
formal medical guideline is proposed, taking into account the improvement and deterioration procedures from one
level to the next. For this strategy, Einstein aggregation information under the Pythagorean probabilistic hesitant
fuzzy environment (PyPHFE) is developed. Einstein operations on PyPHFE such as Einstein sum, product, scalar
multiplication, and their properties are investigated. Then, several Pythagorean probabilistic hesitant fuzzy Einstein
aggregation operators, namely the Pythagorean probabilistic hesitant fuzzy weighted average (PyPHFWA) operator, Pythagorean probabilistic hesitant fuzzy Einstein weighted geometric (PyPHFEWG) operator, Pythagorean
probabilistic hesitant fuzzy Einstein ordered weighted average (PyPHFEOWA) operator, Pythagorean probabilistic
hesitant fuzzy Einstein ordered weighted geometric (PyPHFEOWG) operator, Pythagorean probabilistic hesitant
fuzzy Einstein hybrid average (PyPHFEHA) operator and Pythagorean probabilistic hesitant fuzzy Einstein hybrid
geometric (PyPHFEHG) operator are investigated. All the above-mentioned operators are helpful in design the
algorithm to tackle uncertainty in decision making problems. In last, a numerical case study of decision making
is presented to demonstrate the applicability and validity of the proposed technique. Besides, the comparison of
the existing and the proposed technique is established to show the effectiveness and validity of the established
technique.
Keywords
Cite This Article
Ashraf, S., Batool, B., Naeem, M. (2023). Novel Decision Making Methodology under Pythagorean Probabilistic Hesitant Fuzzy Einstein Aggregation Information.
CMES-Computer Modeling in Engineering & Sciences, 136(2), 1785–1811.