Volume 31 • Number 2 • 2008   • Fuzzy Pre-semi-closed Sets S. Murugesan and P. Thangavelu 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. 2000 Mathematics Subject Classification: 54A40. Full text: PDF