An inquiry into approximate operations on fuzzy numbers

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• 作者：Matteo Brunelli^a ; ^{matteo.brunelli@aalto.fi} ; Jó ; zsef Mezei^b ; ^{jozsef.mezei@lut.fi}
• 关键词：Fuzzy numbers ; Fuzzy arithmetics ; Extension principle ; Approximate operations
• 刊名：International Journal of Approximate Reasoning
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：81
• 期：Complete
• 页码：147-159
• 全文大小：1032 K
• 卷排序：81

文摘

Operations on fuzzy numbers have been a cornerstone in the development of fuzzy modeling and computing with words. Although exact operations are commonly defined by the extension principle, many applications employ approximate operations. At present, despite their wide use, there is no evidence on the goodness of approximate operations. By means of both numerical simulations and theoretical results, in this paper we present an analysis of approximate operations on fuzzy numbers. By focusing on the ranking and defuzzification procedures as essential tools in fuzzy decision making problems, we are going to study the errors produced by the application of approximate operations.