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arXiv · 2512.17360

Grey graphs and its application

Wanli Xie·Jiale Zhang·Ruiqing Cao
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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.

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Wanli Xie, Jiale Zhang, Ruiqing Cao. 2025-12-19. Grey graphs and its application. https://arxiv.org/abs/2512.17360

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