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http://dx.doi.org/10.5391/IJFIS.2007.7.4.249

Double Fuzzy Preproximity Spaces  

Zahran, Ahmed M. (Department of Mathematics, Faculty Of Science(Assuit), Al-Azhar University)
Abd-Allah, M. Azab (Department of Mathematics, Faculty Of Science, Assuit University)
El-Saady, Kamal (Department of Mathematics, Faculty Of Science(Qena), South Valley University)
El-Rahman, Abd El-Nasser G. Abd (Department of Mathematics, Faculty Of Science(Qena), South Valley University)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.7, no.4, 2007 , pp. 249-255 More about this Journal
Abstract
In this paper, we introduce the concept of double fuzzy preproximity spaces as a generalization of a fuzzy preproximity spaces and investigate some of their properties. Also we study the relationships between double fuzzy preproximity spaces, double fuzzy topological spaces and double fuzzy closure spaces. In addition to this was the introduction of the concept of double fuzzy neighborhood system and has been studying the connection with double fuzzy preproximity, which resulted in the definition of the concept double fuzzy preproximal neighborhood.
Keywords
Double fuzzy topology; double fuzzy preproximity; double fuzzy preproximal neighborhood;
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