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q-Rung orthopair fuzzy graphs under Hamacher operators by Akram, Muhammad; Alsulami, Samirah; Karaaslan, Faruk; Khan, Ayesha is a Computer Science article available to read on EtoBox.

What is q-Rung orthopair fuzzy graphs under Hamacher operators about?

A q-rung orthopair fuzzy set (q-ROFS) is more practical and powerful than intuitionistic fuzzy set (IFS) and Pythagorean fuzzy set (PFS) to model uncertainty in various decision-making problems. In this research article, we introduce the notion of q-rung orthopair fuzzy Hamacher graphs (q-ROFHGs). We utilize the Hamacher operators because they are flexible and parameterized in decision making. We determine the energy of q-ROFHGs as well as the energy of splitting and shadow q-ROFHGs. In addition, we propose the Randić energy of q-ROFHG and its some substantial results. Further, we present the idea of q-rung orthopair fuzzy Hamacher digraphs (q-ROFHDGs). We solve a decision-making numerical example related to the selection of best housing society for investment by calculating the energy and Randić energy of q-ROFHDGs and an algorithm to exhibit the applicability of the presented concepts in decision making. Finally, we present the conclusion.

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Author

Akram, Muhammad; Alsulami, Samirah; Karaaslan, Faruk; Khan, Ayesha

Publisher

IOS Press (ISSN 1064-1246)

Published

2021

Language

EN

Field

Computer Science (Physical Sciences)