关键词: 空间距离, 灵敏性分析, 灰色关联分析, 模型

Abstract: In order to make up for the deficiency of absolute degree of incidence ,synthetic degree of incidence and relative degree of incidence, the paper attempts to establish a new model. First of all, we set up a control factor and introduce the concept of metric space, in order to adjust the range of the value. We prove that this model satisfies the grey incidence axioms. We also study its some properties. Furthermore, we put forward a new model of quasi optimal value to meet a few principles, and combined with sensitivity analysis, the algorithm steps of the quasi optimal value are given. Finally, the effectiveness and practicability of this model is verified through practical examples. Therefore, the rest of the paper is organized as follows. In section 1, some basic concepts of absolute degree of incidence, synthetic degree of incidence and relative degree of grey incidence are reviewed. In this section, some limitations of them are proved. In section 2, we set up a control factor and introduce the concept of metric space to adjust the value them, and propose the quasi-“very close”-absolute degree of incidence, the quasi-“very close”-relative degree of incidence and the quasi-“very close”-synthetic degree of grey incidence, and so on. This section also studies some specific properties for them. Section 3 summarizes the specific algorithm steps. In section 4, we compare each kind of value of them by an example, and also obtain some useful results.

Key words: metric space, sensitivity analysis, grey incidence analysis, modeling