模糊多重集

A. Ramer, Chien-Chung Wang
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引用次数: 21

摘要

我们提出了一种基于将模糊集的概念扩展到模糊多集的设计。由于模糊集的概念本身是标准集概念的泛化,因此任何进一步的泛化都应该仔细地进行。我们集中讨论两个原因,第一个是模糊算法的连续性,另一个是用有限模糊集逼近连续模糊集的复杂结构的实际必要性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Fuzzy multisets
We propose a design based on extending the notion of a fuzzy set to a fuzzy multiset. As the concept of fuzzy set is itself a generalization of a standard set notion, any further generalization should be carefully motivated. We concentrate on two reasons, the first one being the continuity of the fuzzy arithmetic, the other a virtual necessity for the otherwise elaborate structures in approximating continuous fuzzy sets by the finite ones.
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