期刊
FUZZY SETS AND SYSTEMS
卷 257, 期 -, 页码 3-22出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2013.07.004
关键词
Fuzzy number; Trapezoidal fuzzy number; Trapezoidal approximation; Continuity
资金
- Romanian National Authority for Scientific Research, CNCS-UEFISCDI [PN-II-ID-PCE-2011-3-0861]
The main aim of this paper is to characterize the set of real parameters associated to a fuzzy number, represented in a general form which include the most important characteristics, with the following property: for any given fuzzy number there exists at least a trapezoidal fuzzy number which preserves a fixed parameter. The uniqueness of the nearest trapezoidal fuzzy number with this property is proved, the average Euclidean distance being considered. As an important property, each resulting trapezoidal approximation operator is continuous. The main results are illustrated by examples. (C) 2013 Elsevier B.V. All rights reserved.
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