International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 180196, 11 pages
doi:10.1155/2010/180196
Research Article

On Maximal and Minimal Fuzzy Sets in I-Topological Spaces

Samer Al Ghour

Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan

Received 1 May 2010; Accepted 22 August 2010

Academic Editor: Naseer Shahzad

Copyright © 2010 Samer Al Ghour. 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.

Abstract

The notion of maximal fuzzy open sets is introduced. Some basic properties and relationships regarding this notion and other notions of I-topology are given. Moreover, some deep results concerning the known minimal fuzzy open sets concept are given.