基于广义灰数的双向投影灰靶决策模型拓展研究

针对属性值为广义灰数时已有灰靶决策方法的不足问题,提出了广义灰数灰靶决策方法,首先,通过定义广义灰数,将区间灰数的概念进行了进一步的拓展;其次,基于范数概念提出了广义灰数的Husdorff距离测度、算法及其性质并定义了属性值为广义灰数的靶心和靶心距概念,构建了基于正负靶心的双向投影一致性系数的广义灰数灰靶决策模型排序方法.该模型解决了属性值包含更多不确定因素的决策问题,最后通过实例验证该方法的科学合理性性和优越性.

Study on the expansion of bidirectional projective grey target decision-making model based on general grey number

In view of the shortcomings of the grey target decision method when the attribute value is the general grey number, the grey target decision method of general grey number is proposed. Firstly, the concept of interval grey number is further expanded by defining the general grey number. Secondly, the Husdorff distance measure, algorithm and its properties are proposed based on the concept of norm. The concept of the bull's-eye and the bull's-eye-distance of the scheme is defined. The sorting method of grey target decision model based on the bidirectional projection consistency coefficient of positive and negative bull's-eye is constructed. The model solves the problem of decision scheme with more uncertain factors. Finally, the feasibility and superiority of this method are verified by an example.