Kybernetika 59 no. 5, 768-790, 2023

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

Gül Deniz Çayl\iDOI: 10.14736/kyb-2023-5-0768

Abstract:

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.

Keywords:

uninorm, T-conorm, bounded lattice, T-norm, closure operator, interior operator

Classification:

03B52, 06B20, 03E72, 94D05, 97E30

paper.pdf

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