基于加权Minkowski距离的IFS相异度度量方法

Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (6): 1358-1361.

基于加权Minkowski距离的IFS相异度度量方法

申晓勇¹, 雷英杰¹, 蔡茹^1,2, 张弛¹

1. 空军工程大学导弹学院计算机工程系, 陕西, 三原, 713800;
2. 中国人民解放军94994部队, 江苏, 南京, 210036

收稿日期:2008-01-02 修回日期:2008-05-05 出版日期:2009-06-20 发布日期:2010-01-03
作者简介:申晓勇(1982- ),男,博士研究生,主要研究方向为智能信息处理.E-mail:yuzhong25@163.com
基金资助:
国家自然科学基金项目(60773209);陕西省自然科学基金项目(2006F18)资助课题

Method for dissimilarity measure among intuitionistic fuzzy sets based on weighted Minkowski distance

SHEN Xiao-yong¹, LEI Ying-jie¹, CAI Ru^1,2, ZHANG Chi¹

1. Dept. of Computer Engineering, Missile Inst. of Air Force Engineering Univ., Sanyuan 713800, China;
2. Unit 94994 of PLA, Nanjing 210036, China

Received:2008-01-02 Revised:2008-05-05 Online:2009-06-20 Published:2010-01-03

摘要/Abstract

摘要： 针对现有直觉模糊集合间距离度量的局限性,提出一种基于加权Minkowski距离的相异度度量方法。该度量方法适合于连续论域中集合间距离的测量,而且通过引入加权参数解决了各个属性具有不同权重的实际问题,同时克服了现有IFS距离度量的缺陷,进而解决了几个特殊直觉模糊集合之间距离度量问题。通过算例分析比较,证明了该方法在现存的距离度量方法中是比较优越的。

Abstract: Aiming at the limitations of existing distance measures among IFS,a new kind of dissimilarity measure method based on Minkowski distance is presented.The method is suitable for distance measures among IFS in continuous domain.Moreover,it is more suitable for solving some actual problems which have different weights by taking into account the weight of the element.At the same time,the new proposed method can not only get over several kinds of existing drawbacks of distance measures methods but also solve the problems of distance measure among some particular IFSs.Experiment results obtained from some numerical instances show the proposed method is more superior than the existing ones.

中图分类号:

TP182
TP391

申晓勇, 雷英杰, 蔡茹, 张弛. 基于加权Minkowski距离的IFS相异度度量方法[J]. Journal of Systems Engineering and Electronics, 2009, 31(6): 1358-1361.

SHEN Xiao-yong, LEI Ying-jie, CAI Ru, ZHANG Chi. Method for dissimilarity measure among intuitionistic fuzzy sets based on weighted Minkowski distance[J]. Journal of Systems Engineering and Electronics, 2009, 31(6): 1358-1361.

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