University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065410420130830A NOTE ON STRATIFIED LM-FILTERS135142105310.22111/ijfs.2013.1053ENGuntherJagerDepartment of Statistics, Rhodes University, 6140 Grahamstown,
South AfricaJournal Article20120207We develop a theory of stratified $LM$-filters which generalizes the theory of stratified $L$-filters. Our stratification condition explicitly depends on a suitable mapping between the lattices $L$ and $M$. If $L$ and $M$ are identical and the mapping is the identity mapping, then we obtain the theory of stratified $L$-filters. Based on the stratified $LM$-filters, a general theory of lattice-valued convergence spaces can be developed.https://ijfs.usb.ac.ir/article_1053_bbbafd70cc3b4630872740fb08f87199.pdf