This study aims to reflect the information coverage grey number and the interaction between attributes in grey relational decision making. Therefore, a multi-attribute decision method based on the grey information coverage interaction relational degree (GIRD) is proposed. Firstly, this paper defines the information coverage grey number, and establishes the GIRD model by using the Choquet fuzzy integral and grey relational principle. It proves that the proposed model not only is the general and unified form of the point relational degree, interval relational degree, mixed relational degree and grey fuzzy integral relational degree, but also can effectively deal with the interaction between attributes. Further, a decision making example of evaluating the industrial operation quality for 14 cities in Hunan province of China is provided to high-light the implementation, availability, and feasibility of the proposed decision model.

中文翻译：

---

灰色信息覆盖交互关系决策及其应用

本研究旨在反映灰色关联决策中信息覆盖的灰阶数和属性之间的相互作用。因此，提出了一种基于灰色信息覆盖交互关联度（GIRD）的多属性决策方法。首先，本文定义了信息覆盖的灰度数，并利用Choquet模糊积分和灰色关联原理建立了GIRD模型。证明了该模型不仅是点关联度，区间关联度，混合关联度和灰色模糊积分关联度的通用统一形式，而且可以有效地处理属性之间的相互作用。进一步，