On M-Bitopological Hyperconnected Space

This paper introduces a distinct concept of multiset bitopological space ( \({\tau }_{12}^{*}\) -open, \({\tau }_{12}^{*}\) -closed, \({\tau }_{12}^{*}\) -closure, \({\tau }_{12}^{*}\) -interior, \({\tau }_{12}^{*}\) -semi-open, \({\tau }_{12}^{*}\) -pre-open, \({\tau }_{12}^{*}\) -regular open msets) which are required to define and characterize multiset bitopological hyperconnected space. The fundamental characteristics of these current concepts are examined. We take a further step to investigate the relationship between connectedness and hyperconnectedness in multiset bitopological space by utilizing this innovative and useful concept. One hereditary property of multiset bitopological hyperconnected space has finally been established along with two different notions of hyperconnected space in multiset bitopological space.