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arXiv · 2406.16951

Extended Equivalence of Fuzzy Sets

Venkat Murali·Sithembele Nkonkobe
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Abstract

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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Venkat Murali, Sithembele Nkonkobe. 2024-06-20. Extended Equivalence of Fuzzy Sets. https://arxiv.org/abs/2406.16951

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