Uninorms That Are Neither Conjunctive Nor Disjunctive on Bounded Lattices

ÇAYLI G. D.

17th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU), Cadiz, Spain, 11 - 15 June 2018, vol.853, pp.310-318 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 853
  • Doi Number: 10.1007/978-3-319-91473-2_27
  • City: Cadiz
  • Country: Spain
  • Page Numbers: pp.310-318
  • Keywords: Bounded lattice, Uninorm, Conjunctive uninorm, Disjunctive uninorm, Neutral element
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this paper, we demonstrate that on some bounded lattices L, there exist elements e is an element of L\{0, 1} such that all uninorms having e as the neutral element are only conjunctive or disjunctive. And we introduce two new construction methods to obtain uninorms that are neither conjunctive nor disjunctive on a bounded lattice with a neutral element under some additional constraints. Furthermore, an illustrative example showing that our methods differ slightly from each other is added.