Generalizing Uninorms on a Sublattice of a Bounded Lattice to New Uninorms in a Bounded Lattice

Uninorms in bounded lattices that are outstanding expansions of triangular norms and triangular conorms have drawn much attention from investigators. These operators give permission the identity i to be situated in any place of a bounded lattice \(\mathbb {T}\) that includes the greatest element and smallest element, represented as 1 and 0, respectively. Specifically, a uninorm is transformed into a triangular norm (or triangular conorm) whenever \(i=1\) (or \(i=0\) ). In this article, two procedures are proposed to build innovative forms of uninorms in a bounded lattice \(\mathbb {T}\) through a uninorm determined in the sublattice [0, k] (or [t, 1]) of \(\mathbb {T}\) that possesses an identity \(i\in \, ]0,k[\,\) (or \(i\in \, ]t,1[\) ). Furthermore, some explicatory examples are put forward in order to display that these building procedures for uninorms vary from the present ones in the literature.