Geodesic
Characterization of the order induced by uninorm with the underlying drastic product or drastic sum
Kybernetika, Tome 60 (2024) no. 6, pp. 723-739
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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.
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.
DOI : 10.14736/kyb-2024-6-0723
Classification : 03B20, 06B05, 94D05
Keywords: uninorm; triangular norm; divisibility; partial order; distributive lattice 
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Liu, Zhi-qiang. Characterization of the order induced by uninorm with the underlying drastic product or drastic sum. Kybernetika, Tome 60 (2024) no. 6, pp. 723-739. doi: 10.14736/kyb-2024-6-0723

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