International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 10, Pages 71654, 11 p.
doi:10.1155/IJMMS/2006/71654

Weakly induced modifications of I-fuzzy topologies

Yueli Yue and Jinming Fang

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

Abstract

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.