Communications of the
Korean Mathematical Society CKMS

We introduce the concept of fuzzy $r$-minimal $\alpha$-open set on a fuzzy minimal space and some basic properties. We also introduce the concepts of fuzzy $r$-$M$ $\alpha$-continuous and fuzzy $r$-$M$($M^*$) $\alpha$-open mappings, and investigate characterization for such mappings.

Keywords: $r$-minimal semiopen, $r$-minimal $\alpha$-open, fuzzy $r$-$M$ continuous, fuzzy $r$-$M$ $\alpha$-continuous, fuzzy $r$-$M$ semicontinuous, $r$-$M$($M^*$) $\alpha$-open mappings

MSC numbers: 54C08