期刊
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING
卷 48, 期 1, 页码 297-313出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ijar.2007.09.004
关键词
fuzzy number; trapezoidal approximation; weighted triangular approximation
Recently, various researchers have proved that the approximations of fuzzy numbers may fail to be fuzzy numbers, such as the trapezoidal approximations of fuzzy numbers. In this paper, we show by an example that the weighted triangular approximation of fuzzy numbers, proposed by Zeng and Li, may lead to the same result. For filling the gap, improvements of trapezoidal and triangular approximations are proposed. The formulas for computing the two improved approximations are provided. Some properties of the two improved approximations are also proved. (C) 2007 Elsevier Inc. All rights reserved.
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