计算机工程 ›› 2018, Vol. 44 ›› Issue (8): 38-42,47.doi: 10.19678/j.issn.1000-3428.0049514

• 先进计算与数据处理 • 上一篇    下一篇

基于相似度的三角模糊数Fisher线性判别分析

黄雅楠,魏立力   

  1. 宁夏大学 数学统计学院,银川 750021
  • 收稿日期:2017-11-30 出版日期:2018-08-15 发布日期:2018-08-15
  • 作者简介:黄雅楠(1992—),女,硕士研究生,主研方向为数据挖掘、应用统计与数据分析;魏立力(通信作者),教授、博士。
  • 基金项目:

    国家自然科学基金(11261044)。

Similarity-based Fisher Linear Discriminant Analysis for Triangular Fuzzy Number

HUANG Ya’nan,WEI Lili   

  1. School of Mathematical and Statistics,Ningxia University,Yinchuan 750021,China
  • Received:2017-11-30 Online:2018-08-15 Published:2018-08-15

摘要:

针对三角模糊数的分类问题,构建基于相似性度量的Fisher线性判别分析模型。该模型是经典Fisher线性判别分析模型的推广,其利用三角模糊数的相似度刻画类内离散程度,根据三角模糊数的距离量化类与类之间的离散程度,同时寻找一个方向向量,使投影到该向量模糊数 据的类间离散程度与类内离散程度之比最大。实例分析结果表明,该分类模型在胃病诊断方面具有有效性和适用性。

关键词: Fisher线性判别分析, 三角模糊数, 相似度, 离散程度, 分类

Abstract:

For the classification problem of the triangular fuzzy number,this paper constructs similarity-based Fisher linear discriminant analysis model.The model is the generalization of the classical Fisher linear discriminant analysis model.The similarity of triangular fuzzy number is employed for discrete degree within class,with a distance of triangular fuzzy number to quantify between each class of dispersion degree.At the same time,an idea consists of finding a projection direction vector which maximizes the radio of the dispersion degree between the class data and within the class is proposed.The results of instance analysis show that the proposed classification model is effective and applicable in the diagnosis of gastric diseases.

Key words: Fisher linear discriminant analysis, triangular fuzzy number, similarity, dispersion degree, classification

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