The concept of bitopological spaces was first introduced by J.C. Kelly [2] in 1963. Regular open sets have been introduced and investigated by Stone [5]. In this paper, we introduce a new class of generalized closed  sets called weakly (1,2)$^{\ast}$-$\widetilde{g}$-closed sets which contains the above mentioned class. Also, we investigate the relationships among the related generalized closed sets.

Keywords: (1,2)$^{\ast}$-w$\widetilde{g}$-closed, (1,2)$^{\ast}$-w$\pi$ g-closed, (1,2)$^{\ast}$-rwg-closed.