Residual coimplicators of left and right uninorms on a complete lattice
Uninorms are an important generalization of triangular norms and conorms, having a neutral element lying anywhere in the unit interval, and left and fight uninorms are a non-commutative extension of uninorms. In this paper, we further study left and right uninorms on a complete lattice. First we introduce the concepts of residual coimplicators of left and right uninorms. Then we discuss some basic properties of the residual coimplicators of infinitely A-distributive left (right) uninorms and pseudo-uninorms. Finally we investigate the relations between residual implicators and residual coimplicators of left (right) uninorms. (C) 2008 Elsevier B.V. All rights reserved.
residual coimplicator uninorm left (right) uninorm residual implicator fuzzy connective pseudo-uninorm