数理科学

一种改进的Vague集距离测度及其在模式识别中的应用

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  • 1.铜陵学院,数学与计算机学院 2.安徽大学,数学科学学院
胡汭(1985-),女,安徽六安人,铜陵学院数学与计算机学院讲师,安徽大学访问学者,主要从事矩阵和算子、模糊数学研究。

收稿日期: 2020-02-23

  网络出版日期: 2020-08-20

基金资助

国家自然科学基金项目(项目编号:71871001)

An Improved Vague Set Distance Measure and Its Application to Pattern Recognition

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  • 1.College of Mathematics and Computer Science, Tongling University 2. School of Mathematical Sciences, Anhui University
HU Rui:College of Mathematics and Computer Science, Tongling University, Tongling Anhui 244000

Received date: 2020-02-23

  Online published: 2020-08-20

摘要

针对现有的Vague集距离测度的计算方法,研究通过具体的Vague集数据,说明这些计算方法存在一定的缺陷,为此,提出一种新的两个Vague值的距离测度公式,证明了距离测度具有非负性、介值性和三角不等式等优良的性质。通过实例说明了新的Vague集距离测度在模式识别中的应用。

本文引用格式

胡汭, 陈华友 . 一种改进的Vague集距离测度及其在模式识别中的应用[J]. 巢湖学院学报, 2020 , 22(3) : 79 -81+103 . DOI: 10.12152/j.issn.1672-2868.2020.03.011

Abstract

Aiming at the existing methods of Vague set distance measurement, this paper points out that these methods have some defects through specific vague set data. Therefore, a new distance measurement formula for two Vague values is proposed in this paper, which proves that the distance measurement has good properties, such as non-negative, intermediate and triangle inequality. The application of new Vague set distance measure in pattern recognition is illustrated by an example 
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