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Keywords:
uninorm; triangular norm; divisibility; partial order; distributive lattice
uninorm; triangular norm; divisibility; partial order; distributive lattice
Summary:
In this article, we investigate the algebraic structures of the partial orders induced by uninorms on a bounded lattice. For a class of uninorms with the underlying drastic product or drastic sum, we first present some conditions making a bounded lattice also a lattice with respect to the order induced by such uninorms. And then we completely characterize the distributivity of the lattices obtained.
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