Ranking of fuzzy numbers based on alpha-distance

被引：0

作者：

Khezerloo, S. ^{[1
]}

Allahviranloo, T. ^{[2
]}

Khezerloo, M. ^{[1
]}

机构：

[1] Islamic Azad Univ, Ardabil Branch, Young Researcher Club, Ardebil, Iran

[2] Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran, Iran

来源：

PROCEEDINGS OF THE 7TH CONFERENCE OF THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY (EUSFLAT-2011) AND LFA-2011 | 2011年

关键词：

Metric Distance; Fuzzy Numbers; Ranking; AREA;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper presents a new approach to compare fuzzy numbers using alpha-distance. Initially, the metric distance on the interval numbers based on the convex hull of the endpoints is proposed and it is extended to fuzzy numbers. All the properties of the alpha-distance are proved in details. Finally, the ranking of fuzzy numbers by the alpha-distance is discussed. In addition, the proposed method is compared with some known ones, the validity of the new method is illustrated by applying its to several group of fuzzy numbers.

引用

页码：770 / 777

页数：8

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