A set of axioms for defuzzification strategies towards a theory of rational defuzzification operators

A set of axioms for defuzzification strategies towards a theory of rational defuzzification operators
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针对理性去模糊化算子理论的一组去模糊化策略公理

DOI：
10.1109/fuzzy.1993.327350
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发表时间：
1993
期刊：
[Proceedings 1993] Second IEEE International Conference on Fuzzy Systems
影响因子：
--
通讯作者：
M. Glesner
M. Glesner
中科院分区：
--
文献类型：
--
作者：
T. Runkler;M. Glesner

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模糊系统内部处理模糊值，在大多数应用中，这些模糊值必须映射到清晰的输出。这种转换称为解模糊化。在许多情况下，标准的算法，如重心和最大值的平均值导致不合理的结果。需要更好的解模糊程序。对于合理的去模糊化算法的发展的基本属性的定义是必要的。作者开发了一套数学动机的13个限制合理的defuzzification程序的特点。所提出的约束条件将有助于解模糊算子的设计。它们可用于直接的算子推导，用于比较检查或作为参数优化的质量标准。&lt;<ETX>&gt;
Fuzzy systems internally process fuzzy values, which have to be mapped to crisp output in most applications. This conversion is called defuzzification. In many cases the standard algorithms like center of gravity and mean of maxima lead to irrational results. Better defuzzification procedures are required. For the development of rational defuzzification algorithms a definition of essential properties is necessary. The authors develop a mathematically motivated set of 13 constraints characterizing rational defuzzification procedures. The constraints proposed will aid defuzzification operator designers. They can be used for direct operator derivation, for comparative examinations or as quality criteria for parameter optimization.<<ETX>>