Triangular approximation preserving the centroid of fuzzy numbers

被引：11
作者：
Li, Jian [1 ]
Wang, Zhong Xing [2 ]
Yue, Qi [3 ]
机构：
[1] Guangxi Univ, Xingjian Coll Sci & Liberal Arts, Nanning 530004, Guangxi, Peoples R China
[2] Guangxi Univ, Coll Math & Informat Sci, Nanning 530004, Guangxi, Peoples R China
[3] Jiangxi Univ Finance & Econ, Sch Informat Management, Nanchang 330013, Jiangxi, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2012年 / 89卷 / 06期
关键词：
fuzzy numbers; triangular fuzzy numbers; approximation; centroid; NEAREST PARAMETRIC APPROXIMATION; TRAPEZOIDAL APPROXIMATIONS; INTERVAL; AREA;
D O I：
10.1080/00207160.2012.659664
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the Karush-Kuhn-Tucker theorem is used for finding the nearest triangular approximation of a fuzzy number with respect to a well-known metric, which preserves the centroid of the fuzzy number, is studied. The properties of translation invariance, scale invariance and identity of the triangular approximation operator are discussed. The main advantage is that the proposed triangular approximation operator preserves the centroid of fuzzy numbers, which is an important index for evaluating fuzzy numbers.
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页码：810 / 821
页数：12
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