Haar Measure on Fuzzy Lie Group

S. S. Sangodele; M. E. Egwe

Haar Measure on Fuzzy Lie Group

General Mathematics 2026-07-10 v1

Authors: S. S. Sangodele , M. E. Egwe

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.

Keywords

fuzzy Lie group Haar measure fuzzy Haar measure fuzzy Haar integral locally compact group

Cite

@article{arxiv.2607.11927,
  title  = {Haar Measure on Fuzzy Lie Group},
  author = {S. S. Sangodele and M. E. Egwe},
  journal= {arXiv preprint arXiv:2607.11927},
  year   = {2026}
}

Comments

arXiv admin note: text overlap with arXiv:0908.0254 by other authors