Title of article :
Fuzzy Pre-semi-closed Sets
Author/Authors :
Murugesan, S. Sri S. R. Naidu Memorial College - Department of Mathematics, India , Thangavelu, P. Aditnar College of Arts and Science - Department of Mathematics, India
Abstract :
In this paper, we introduce fuzzy pre-semi-closed sets in fuzzy topo- logical spaces and investigate their properties. Using fuzzy pre-semi-closed sets, equivalences of fuzzy regular open sets are established. As applications to fuzzy pre-semi-closed sets, we introduce fuzzy spaces with new kinds of separation axioms, namely, fuzzy pre-semi-T1/2 spaces, fuzzy pre-semi-T3/4 spaces and fuzzy semi-pre-T1/3 spaces and characterize them.
Keywords :
Fuzzy generalized closed sets , fuzzy semi , pre , closed sets , fuzzy T1 , 2 space , fuzzy semi , T 1 , 2 space.
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
