Title of article :
Erratum to “State operators on generalizations of fuzzy structures” [Fuzzy Sets Syst. 187 (2012) 58–76]
Author/Authors :
Dvure?enskij، نويسنده , , A. and Rach?nek، نويسنده , , J. and ?alounov?، نويسنده , , D.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2012
Abstract :
Recently, the authors characterized in Dvurečenskij et al. (2012) [1] subdirectly irreducible R ℓ -monoids with a faithful state operator. Unfortunately, the proof of one of the main theorems (Theorem 4.11) has a gap because we have used a property holding only for commutative R ℓ -monoids as we show. We now present counterexamples and a correct proof.
Keywords :
Algebras of fuzzy logics , Residuated lattice , Faithful state operator , State operator , Subdirectly irreducible algebra
Journal title :
FUZZY SETS AND SYSTEMS
Journal title :
FUZZY SETS AND SYSTEMS
