CONSTRUCTION OF UNINORMS ON BOUNDED LATTICES

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ÇAYLI G. D., KARAÇAL F.

KYBERNETIKA, vol.53, no.3, pp.394-417, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 53 Issue: 3
  • Publication Date: 2017
  • Doi Number: 10.14736/kyb-2017-3-0394
  • Journal Name: KYBERNETIKA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.394-417
  • Keywords: bounded lattice, triangular norm, triangular conorm, uninorms
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this paper, we propose the general methods, yielding uninorms on the bounded lattice (L, <=, 0,1), with some additional constraints on e is an element of L\{0,1} for a fixed neutral element e is an element of L\{0,1} based on underlying an arbitrary triangular norm T-e on [0, e] and an arbitrary triangular conorm S-e on [e, 1]. And, some illustrative examples are added for clarity.