Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
390995 | Fuzzy Sets and Systems | 2009 | 11 Pages |
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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