Grey graphs and its application

Fuente: arXiv
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Autores principales: Xie, Wanli, Zhang, Jiale, Cao, Ruiqing
Formato: Preprint
Publicado: 2025
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author Xie, Wanli
Zhang, Jiale
Cao, Ruiqing
author_facet Xie, Wanli
Zhang, Jiale
Cao, Ruiqing
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2512_17360
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Grey graphs and its application
Xie, Wanli
Zhang, Jiale
Cao, Ruiqing
Systems and Control
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.
title Grey graphs and its application
topic Systems and Control
url https://arxiv.org/abs/2512.17360