On left and right uninorms on a finite chain

The main concern of this paper is to introduce and characterize the class of operators on a finite chain L, having the same properties of pseudo-smooth uninorms but without commutativity. Moreover, in this case it will only be required the existence of a one-side neutral element. These operators are characterized as combinations of A N D and O R operators of directed algebras (smooth t-norms and smooth t-conorms) and the case of pseudo-smooth uninorms is retrieved for the commutative case.

• Type: Conference
• Year: 2001
• Where: EUSFLAT
• Authors: Margarita Mas, Miquel Monserrat, Joan Torrens
• Keywords: EUSFLAT 2001, EUSFLAT 2007, Finite Chain L, One-side Neutral Element, Pseudo-smooth Uninorms