International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 71654, 11 pages

Weakly induced modifications of I-fuzzy topologies

Yueli Yue and Jinming Fang

Department of Mathematics, Ocean University of China, Qingdao 266071, China

Received 10 October 2005; Revised 8 May 2006; Accepted 9 May 2006

Copyright © 2006 Yueli Yue and Jinming Fang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The aim of this paper is to study weakly induced I-fuzzy topological spaces and weakly induced modifications of I-fuzzy topologies. We give two kinds of weakly induced I-fuzzy topologies for each I-fuzzy topology and prove that I-WIFTOP is a reflective and coreflective full subcategory of I-FTOP. We also discuss some relationships between several categories.