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arXiv · 2607.11927

Haar Measure on Fuzzy Lie Group

S. S. Sangodele·M. E. Egwe
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Abstract

Let $\mathfrak{G}$ be a locally compact Lie group and \(d\mu\) a Haar measure defined on $\mathfrak{G}$. We consider the existence of a fuzzy analogue of $\mathfrak{G}$ denoted by $\mathfrak{G_f}$ called a fuzzy Lie group and develop a fuzzy Haar measure \(\mu_f\) on $\mathfrak{G_f}$. Also we construct a fuzzy Haar integral with respect to the corresponding fuzzy Haar measure on $\mathfrak{G_f}$. And finally we show that there exists a fuzzy Haar integral that is unique up to a multiplicative constant.

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S. S. Sangodele, M. E. Egwe. 2026-07-10. Haar Measure on Fuzzy Lie Group. https://arxiv.org/abs/2607.11927

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