模糊集的扩展等价性

arXiv - MATH - General Mathematics Pub Date : 2024-06-20 DOI:arxiv-2406.16951

Venkat Murali, Sithembele Nkonkobe

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引用次数: 0

摘要

优先相等是有限集的模糊子集上的等价关系，是经典子集相等的一般化。在本文中，我们介绍了模糊子集优先相等关系的收紧版本，并给出了 n 元素集合（n 为自然数）中此类收紧模糊子集数量的一些重要组合公式。我们还提供了一些渐近结果

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Extended Equivalence of Fuzzy Sets

Preferential equality is an equivalence relation on fuzzy subsets of finite sets and is a generalization of classical equality of subsets. In this paper we introduce a tightened version of the preferential equality on fuzzy subsets and derive some important combinatorial formulae for the number of such tight fuzzy subsets of an n-element set where n is a natural number. We also offer some asymptotic results

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arXiv - MATH - General Mathematics

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