A CHARACTERIZATION OF UNINORMS ON BOUNDED LATTICES VIA CLOSURE AND INTERIOR OPERATORS

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ÇAYLI G. D.

KYBERNETIKA, no.5, pp.768-790, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2023
  • Doi Number: 10.14736/kyb-2023-5-0768
  • Journal Name: KYBERNETIKA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Linguistic Bibliography, zbMATH
  • Page Numbers: pp.768-790
  • Karadeniz Technical University Affiliated: Yes

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.