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

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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… Click to show full 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: implications coimplications; fuzzy implications; extended representable; extended fuzzy; representable uninorms; uninorms extended

Journal Title: Symmetry
Year Published: 2017

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