Einstein Aggregation Operator Technique in Circular Fermatean Fuzzy Environment for MCDM

Abstract

An Ethernet cable enables users to connect their electronic devices, such as smartphones, computers, routers, laptops, etc., to a network that permits them to utilize the internet. Additionally, it transfers broadband signals among connected devices. Wi-Fi is tremendously helpful with small, handheld gadgets, but if capacity is required, cable Ethernet connectivity cannot be surpassed. Ethernet connections typically work faster than Wi-Fi connections; they also tend to be more flexible, have fewer interruptions, can handle problems rapidly, and have a cleaner appearance. However, it becomes complicated to decide upon an appropriate Ethernet cable. The circular Fermatean fuzzy set (∘FF), an extension of the interval-valued Fermatean fuzzy set(IVFFS) for two dimensions, provides a comprehensive framework for decision-making under uncertainty, where the concept of symmetry plays a crucial role in ensuring the balanced and unbiased aggregation of criteria. The main objective of this investigation was to select one of the best Ethernet cables using multi-criteria decision-making (MCDM). We employed aggregation operators (AOs), such as Einstein averaging and geometric AO, to amalgamate cable choices based on predefined criteria within the ∘FF set environment. Our approach ranks Ethernet cable options by evaluating their proximity to the ideal choice using ∘FF cosine and ∘FF dice similarity measures to ∘FF Einstein-weighted averaging aggregation and geometric operators. The effectiveness and stability of our suggested method are guaranteed by performing visualization, comparison, and statistical analysis.

Keywords

• circular Fermatean fuzzy set
• circular Fermatean fuzzy Einstein averaging and geometric aggregation operators
• Ethernet cable
• decision making
• fuzzy