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中文摘要：
以研究灰色关联度模型的新性质、丰富灰色关联分析理论体系为目的,在对几类常用灰色关联度模型理论分析的基础上,提出了关联度仿射性和仿射变换保序性的定义,从逻辑推理角度对各灰色关联度模型的仿射性与仿射变换保序性进行了理论研究。研究表明,T型关联度和比率关联度同时满足上述两个新性质。研究结果对于进一步构建新的关联度,扩展关联度的应用范围具有十分重要的意义。
英文摘要：
The aim of this paper is to study the properties of the grey incidence analysis model and enrich its theoretical system.Based on the analysis of the existing model of grey incidence degree and their properties,this paper first presents the novel definitions of affinity and affine transformation isotonicity.The two properties of some grey incidence degree are studied.The research results indicate that the T-mode relational grade model and grey ratio rational grade have the properties of affinity and affine transformation isotonicity.The results of this study are of implication for further rebuilding grey relational grade and widening the practical field of grey relational analysis models.
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