Abstract and Applied Analysis
Volume 2011 (2011), Article ID 164510, 12 pages
http://dx.doi.org/10.1155/2011/164510
Research Article

Generalized 𝝍 𝜌 -Operations on Fuzzy Topological Spaces

A. M. Zahran1,2 and A. I. El-Maghrabi1,3

1Department of Mathematics, Faculty of Science, Taibah University, Madinah, Saudi Arabia
2Department of Mathematics, Faculty of Science, Al Azhar University, Assiut, Egypt
3Department of Mathematics, Faculty of Science, Kafr El Sheikh University, Kafr El Sheikh, Egypt

Received 19 May 2011; Accepted 6 July 2011

Academic Editor: Nobuyuki Kenmochi

Copyright © 2011 A. M. Zahran and A. I. El-Maghrabi. 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 aim of this work is to introduce 𝜓 -operations on fuzzy topological spaces and to use them to study fuzzy generalized 𝜓 𝜌 -closed sets and fuzzy generalized 𝜓 𝜌 -open sets. Also, we introduce some characterizations and properties for these concepts. Finally we show that certain results of several publications on the concepts of weakness and strength of fuzzy generalized closed sets are considered as corollaries of the results of this research.