Grey graphs and its application

TL;DR

This paper introduces a novel multi-attribute decision-making method utilizing grey graph theory, combining fuzzy graph concepts with grey numbers to evaluate alternatives effectively.

Contribution

It presents a new decision-making approach based on grey graph theory, integrating fuzzy graph concepts with grey numbers for improved analysis.

Findings

Demonstrated the effectiveness of the grey graph-based method

Validated the approach with a numerical example

Showed the feasibility of applying grey graph theory in decision-making

Abstract

In multi-attribute decision-making problems where the attribute values are interval grey numbers, a simplified form based on kernels and the degree of greyness is presented. Combining fuzzy graph theory with the kernel and the degree of greyness of interval grey numbers, grey graphs and their corresponding operation rules are presented. This paper presents a new multi-attribute decision-making method based on grey graph theory. We analyzed and evaluated the alternative schemes using grey graph. Lastly, a numerical example was conducted in order to demonstrate the effectiveness and feasibility of the proposed method.