Kybernetika 60 no. 6, 723-739, 2024

Characterization of the order induced by uninorm with the underlying drastic product or drastic sum

Zhi-qiang LiuDOI: 10.14736/kyb-2024-6-0723

Abstract:

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.

Keywords:

uninorm, triangular norm, partial order, divisibility, distributive lattice

Classification:

03B20, 06B05, 94D05

paper.pdf

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