A characterization of uninorms on bounded lattices via closure and interior operators

Çayli, Gül Deniz

Kybernetika, Tome 59 (2023) no. 5, pp. 768-790

Abstract (VO)

Uninorms on bounded lattices have been recently a remarkable field of inquiry. In the present study, we introduce two novel construction approaches for uninorms on bounded lattices with a neutral element, where some necessary and sufficient conditions are required. These constructions exploit a t-norm and a closure operator, or a t-conorm and an interior operator on a bounded lattice. Some illustrative examples are also included to help comprehend the newly added classes of uninorms.

Détail

DOI : 10.14736/kyb-2023-5-0768

Classification : 03B52, 03E72, 06B20, 94D05, 97E30
Keywords: bounded lattice; closure operator; uninorm; interior operator; T-norm; T-conorm

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