Affiliations: [a] Institute of Computational Mathematics, School of Science, Hunan University of Science and Engineering, Hunan, P.R. China | [b] School of Mathematics and Computational Science, Xiangtan University, Hunan, P.R. China | [c] School of Mathematics and Computational Science, Wuyi University, Guangdong, P.R. China
Correspondence:
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Corresponding author. Xiu-Yun Wu, Department of Mathe-matics, Hunan University of Science and Engineering, Hunan, P.R. China. Tel.: +86 18374601897; Fax: +86 0746 6382174; E-mail: wuxiuyun2000@126.com.
Abstract: Three Lowen factors, namely, ω, [ ] and ι, 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.
