Some Remarks on Fuzzy R0, R1 and Regular Topological Spaces

D. M. Ali, F. A. Azam
2012 Journal of Scientific Research  
In this paper, five regular-axioms, eighteen -axioms and nine 0 R -axioms for fuzzy topological spaces are recalled. A complete answer is given with regard to all possible ( ) 0 1 R R ⇒ -type implications for fuzzy topological spaces. It is also shown that, though the regular-axiom implies 1 R -axiom in 'general topological spaces', this is not true for 'fuzzy topological spaces', in general.
doi:10.3329/jsr.v4i2.6663 fatcat:mea4roedjfdbpg62htur6cxqeu