FRAME VALUED STRATIFIED GENERALIZED CONVERGENCE GROUP

Following the notion of stratified -fuzzy convergence space of Gunther Jager we introduce the notion of a stratified -generalized convergence group, and look into some other objects, namely, stratified -Kent convergence groups, and stratified -principal convergence groups. We show that the category of stratified -generalized convergence groups, S-GCGrp is topological over the category of groups, Grp with respect to the forgetful functor, and we prove that the category S-NeighGrp, of stratified -neighborhood groups is isomorphic to a subcategory of S-GCGrp. We give necessary and sufficient conditions for a group structure and a stratified -generalized convergence structure tobe a stratified -generalized convergence group. Finally, we observe that every stratified -generalized convergence group possessing a stratified -principal convergence structure gives rise to a stratified -neighborhood topological grou