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An inquiry into approximate operations on fuzzy numbers

机译：查询模糊数的近似运算

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摘要

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. (C) 2016 Elsevier Inc. All rights reserved.
机译：模糊数运算一直是用词进行模糊建模和计算的基础。尽管精确的操作通常由扩展原理定义，但是许多应用程序采用近似操作。目前，尽管已被广泛使用，但尚无证据表明近似操作的优越性。通过数值模拟和理论结果，本文提出了对模糊数的近似运算的分析。通过将排序和去模糊程序作为模糊决策问题中必不可少的工具，我们将研究近似操作的应用所产生的错误。 （C）2016 Elsevier Inc.保留所有权利。

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