5TH International Congress on Technology - Engineering & Science - Kuala Lumpur - Malaysia (2018-02-01)

R-fuzzy ω-continuous & R-fuzzy ω-closed Functions

This paper aims to introduce a new notion of r-fuzzy ω-closed sets as a generalization of fuzzy ω-closed sets, in fuzzy topological space in Sostaks sense. It has been shown that this family lies between r-fuzzy closed sets and r-generalized fuzzy closed sets. As an application of r-fuzzy ω-closed sets, various kinds of mappings namely, r-fuzzy ω-continuous (irresolute) and r-fuzzy ω-closed (open) have been defined and investigated. Moreover, r-fuzzy ω-Homeomorphism has been characterized by using these mappings.
ANBUCHELVI .M, POORANI .K