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On separation axioms in fuzzifying topology

Research Authors
F. H. Khedr, F. M. Zeyada and O. R. Sayed
Research Abstract

In the present paper we introduce R0- and R1-separation axioms in fuzzifying topology and study their relations with T1- and T2-separation axioms, respectively. Furthermore, we introduce and study semi-T0-, semi-R0-, semi-T1-, semi-R1-, semi-T2 (semi-Hausdorff)-, semi-T3 (semi-regularity)- and semi-T4 (semi-normality)-separation axioms in fuzzifying topology and
give some of their characterizations as well as the relations of these axioms and other separation axioms in fuzzifying topology introduced by Shen, Fuzzy Sets and Systems 57 (1993) 111–123
.

@ 2001 Elsevier Science B.V.

Research Department
Research Journal
Fuzzy Sets and Systems
Research Member
Research Vol
119
Research Website
www.elsevier.com/locate/fss
Research Year
2001
Research Pages
439- 458