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Almost separation axioms in fuzzifying topology

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

In the present paper, we introduced topological notions defined by means of regular open sets when these are planted into the framework of Ying’s
fuzzifying topological spaces (in Lukasiewicz fuzzy logic). We used fuzzy logic to introduce almost separation axioms
T0R-; T1R-; T2R(almost Hausdorff)-, T3R (almost regular)- and T4R (almost-normal). Furthermore, the R0Rand  R1R-separation axioms have been studied and their relations with the T1R- and T2R-separation axioms have been introduced. Moreover, we gave the relations of these axioms with each other as well as the relations with other fuzzifying separation axioms.

@ 2013 Modern Science Publishers.
 

Research Department
Research Journal
Journal of Advanced Studies in Topology
Research Member
Research Vol
4(4)
Research Year
2013
Research Pages
46-58