Generating Uninorms on a Bounded Lattice L Based on Uninorms on a Sublattice of L

ÇAYLI G. D.

20th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2024, Lisbon, Portugal, 22 - 26 July 2024, vol.1175 LNNS, pp.185-196, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1175 LNNS
  • Doi Number: 10.1007/978-3-031-74000-8_16
  • City: Lisbon
  • Country: Portugal
  • Page Numbers: pp.185-196
  • Keywords: Bounded lattice, Neutral element, T-conorm, T-norm, Uninorm
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this paper, we introduce two approaches for getting new classes of uninorms on bounded lattices using the indicated uninorm on a sublattice 0,k (or t,1) of a bounded lattice L with a neutral element e∈0,k (or e∈t,1). As a by-product, these tools encompass the construction methods proposed by Çaylı (2018). Moreover, we provide some examples to assess the differences between our methods and the existing approaches.