On induced I-fuzzy topogenous spaces generated by Lowen factors

摘要

Three Lowen factors, namely, omega, [ ] and iota, are extended into I-fuzzy topogenous spaces and their properties are studied. Then concepts of induced I-fuzzy topogenous spaces, weakly induced I-fuzzy topogenous spaces and stratified I-fuzzy topogenous spaces are introduced and characterized by Lowen factors. Also, relations among these spaces can also be preserved in their quotient spaces and subspaces.