Purpose

The purpose of this paper is to study the grey decision model and distance measuring method of general grey number.

Design/methodology/approach

First, intuitionistic grey number (IGN) set and an IGN are defined by grey number probability function. Second, each interval grey number in general grey number is represented by an IGN and converts the general grey number into an IGN set. Final, the operation of two general grey numbers is defined as the operation between IGN sets, and the distance measure of the general grey number is given.

Findings

Up to now, the method of measuring the distance and the grey decision model of general grey number is established. Thus, the difficult problem for set up decision mode of general grey number has been solved to a certain degree.

Research limitations/implications

The method exposed in this paper can be used to integrate information form a different source. The method that a general grey number converted to a set of IGNs could be extended to the case of grey incidence analysis models, grey prediction models and grey clustering evaluation models, which includes general grey numbers, etc.

Originality/value

The concepts of IGN and IGN set are proposed for the first time in this paper; The operation of two general grey numbers can be defined as the operation between IGN sets. On this basis, the algorithm of IGN, the integration operator of IGN and the distance measure between IGN sets are given.

中文翻译：

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基于直觉灰数集的一般灰数决策模型及其应用

目的

本文的目的是研究一般灰度数的灰度决策模型和测距方法。

设计/方法/方法

首先，直觉灰数（IGN）集和一个IGN由灰数概率函数定义。其次，将一般灰数中的每个区间灰数用一个IGN表示，并将一般灰数转化为一个IGN集合。最后，将两个一般灰数的运算定义为IGN集之间的运算，并给出一般灰数的距离测度。

发现

至此，建立了距离度量方法和一般灰数的灰决策模型。这样，在一定程度上解决了一般灰数决策模式的建立难题。

研究限制/影响

本文中公开的方法可用于整合来自不同来源的信息。将一般灰数转化为一组IGN的方法可以扩展到灰色关联分析模型、灰色预测模型和灰色聚类评价模型的情况，其中包括一般灰数等。

原创性/价值

本文首次提出了IGN和IGN集的概念；两个通用灰数的运算可以定义为IGN集之间的运算。在此基础上，给出了IGN的算法、IGN的积分算子和IGN集之间的距离测度。