On Extended Representable Uninorms and Their Extended Fuzzy Implications (Coimplications)

Abstract

In this work, by Zadeh’s extension principle, we extend representable uninorms and their fuzzy implications (coimplications) to type-2 fuzzy sets. Emphatically, we investigate in which algebras of fuzzy truth values the extended operations are type-2 uninorms and type-2 fuzzy implications (coimplications), respectively.

Keywords

• type-2 fuzzy sets
• extended operations
• uninorms
• fuzzy implications
• fuzzy coimplications