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Completely continuous functions and R-map in fuzzifying topological space

Research Authors
A. M. Zahran O. R. Sayed and A. K. Mousa
Research Abstract

This paper considers fuzzifying topologies, a special case of I-fuzzy topologies introduced by Ying. The concepts of fuzzifying regular derived set, fuzzifying regular interior, and fuzzifying regular convergence are studied and some results on above concepts are obtained. Also, the concepts of fuzzifying completely continuous functions and fuzzifying R-map are introduced and some
important characterizations are obtained. Furthermore, some compositions of fuzzifying continuity with fuzzifying completely continuous functions and fuzzifying R-map are presented.

© 2006 Elsevier B.V.

 

Research Department
Research Journal
Fuzzy Sets and Systems
Research Member
Research Vol
158
Research Website
© 2006 Elsevier B.V.
Research Year
2007
Research Pages
409-423