Article ID Journal Published Year Pages File Type
390995 Fuzzy Sets and Systems 2009 11 Pages PDF
Abstract

Uninorms are an important generalization of triangular norms and conorms, having a neutral element lying anywhere in the unit interval, and left and right 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 ∧-distributive left (right) uninorms and pseudo-uninorms. Finally we investigate the relations between residual implicators and residual coimplicators of left (right) uninorms.

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