Double fuzzy α-ð-continuous multifunctions

Abstract

Various types of double fuzzy continuity of fuzzy multifunctions are introduced in this paper. These types are double fuzzy upper and lower $ \alpha $-$ \eth $-continuous, almost $ \alpha $-$ \eth $-continuous, weakly $ \alpha $-$ \eth $-continuous and almost weakly $ \alpha $-$ \eth $-continuous multifunctions. Double fuzzy ideals are playing the main role in defining these types of continuous multifunctions. All implications associated with these types are ensured; also, many examples are introduced to illustrate these implications, and to explain the advantages of these new types of continuity for some previous definitions.

Keywords

• multifunctions
• double fuzzy ideal topological space
• double fuzzy $ \alpha $-$ \eth $-continuous multifunction