Approximation of fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval

被引:93
作者
Ban, Adrian [1 ]
机构
[1] Univ Oradea, Dept Math & Informat, Oradea 410087, Romania
关键词
fuzzy number; trapezoidal fuzzy number; trapezoidal approximation;
D O I
10.1016/j.fss.2007.09.008
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The problem to find the nearest trapezoidal approximation of a fuzzy number with respect to a well-known metric, which preserves the expected interval of the fuzzy number, is completely solved. The previously proposed approximation operators are improved so as to always obtain a trapezoidal fuzzy number. Properties of this new trapezoidal approximation operator are studied. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:1327 / 1344
页数:18
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