New types of continuity and openness in fuzzifying bitopological spaces

Abstract

In this paper, we introduce and study the concepts of semicontinuous mappings, α–continuous mappings, semiopen mappings and α–open mappings in fuzzifying bitopological spaces. The characterizations of these mappings along with their relationship with certain other mappings are investigated.

Keywords

• Semiopen sets
• Fuzzifying topology
• Fuzzifying bitopological space