Haar Measure on Fuzzy Lie Group

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 ${\mathfrak{G}}_{\mathfrak{f}}$ called a fuzzy Lie group and develop a fuzzy Haar measure ${\mu }_f$ on ${\mathfrak{G}}_{\mathfrak{f}}$. Also we construct a fuzzy Haar integral with respect to the corresponding fuzzy Haar measure on ${\mathfrak{G}}_{\mathfrak{f}}$. And finally we show that there exists a fuzzy Haar integral that is unique up to a multiplicative constant.