CONSTRUCTION METHODS FOR IMPLICATIONS ON BOUNDED LATTICES


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Kesicioglu M. N.

KYBERNETIKA, vol.55, no.4, pp.641-667, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 4
  • Publication Date: 2019
  • Doi Number: 10.14736/kyb-2019-4-0641
  • Journal Name: KYBERNETIKA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.641-667
  • Keywords: ordinal sum, implication, bounded lattice, ORDINAL SUMS, TRIANGULAR NORMS, T-NORMS, OPERATORS, CONORMS
  • Recep Tayyip Erdoğan University Affiliated: Yes

Abstract

In this paper, the ordinal sum construction methods of implications on bounded lattices are studied. Necessary and sufficient conditions of an ordinal sum for obtaining an implication are presented. New ordinal sum construction methods on bounded lattices which generate implications are discussed. Some basic properties of ordinal sum implications are studied.