Purpose

The purpose of this paper is to advance a novel grey variable dual precision rough set model for grey concept.

Design/methodology/approach

To obtain the approximation of a grey object, the authors first define the concepts of grey rough membership degree and grey degree of approximation on the basic thinking logic of variable precision rough set. Based on grey rough membership degree and grey degree of approximation, the authors proposed a grey variable dual precision rough set model. It uses a clear knowledge concept to approximate a grey concept, and the output result is also a clear concept.

Findings

The result demonstrates that the proposed model may be closer to the actual decision-making situation, can effectively improve the rationality and scientificity of the approximation and reduce the risk of decision-making. It can effectively achieve the whitenization of grey objects. The model can be degenerated to traditional variable precision rough fuzzy set model, variable precision rough set model and classic Pawlak rough set, when some specific conditions are met.

Practical implications

The method exposed in the paper can be used to solve multi-criteria decision problems with grey decision objects and provide a decision rule. It can also help us better realize knowledge discovery and attribute reduction. It can effectively achieve the whitenization of grey object.

Originality/value

This method proposed in this paper implements a rough approximation of grey decision object and obtains low-risk probabilistic decision rule. It can effectively achieve a certain degree of whitenization of some grey objects.

中文翻译：

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灰色变双精度粗糙集模型及其应用

目的

本文的目的是提出一种新的灰色概念的灰色变量双精度粗糙集模型。

设计/方法/方法

为了得到一个灰色对象的近似，作者首先在变精度粗糙集的基本思维逻辑上定义了灰色粗糙隶属度和灰度近似度的概念。基于灰色粗糙隶属度和灰度近似度，作者提出了一种灰色变量对偶精度粗糙集模型。它用一个清晰​​的知识概念来逼近一个灰色概念，输出的结果也是一个清晰的概念。

发现

结果表明，所提出的模型可能更贴近实际决策情况，能有效提高逼近的合理性和科学性，降低决策风险。可以有效的实现灰色物体的白化。当满足特定条件时，该模型可以退化为传统的变精度粗糙模糊集模型、变精度粗糙集模型和经典Pawlak粗糙集模型。

实际影响

本文公开的方法可用于解决具有灰色决策对象的多准则决策问题，并提供决策规则。它还可以帮助我们更好地实现知识发现和属性约简。可以有效的实现灰色物体的白化。

原创性/价值

本文提出的这种方法实现了对灰色决策对象的粗略逼近，得到了低风险的概率决策规则。它可以有效地实现对一些灰色物体的一定程度的白化。