Redundancy of mset topologies

Document Type : Research Paper


School of Mathematics, Mudanjiang Normal University, Mudanjiang, 157011 Heilongjiang, P.R. China


In this note, our aim is to present the relation between msets and $L$-fuzzy sets. We prove that an mset can be viewed as an $L$-fuzzy set.  An mset topology can be viewed as an  L-topology. Therefore, it follows that mset topologies are redundant in theoretical sense.