CONSTRUCTION METHODS FOR IMPLICATIONS ON BOUNDED LATTICES

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Kesicioglu M. N.

KYBERNETIKA, cilt.55, sa.4, ss.641-667, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Sayı: 4
  • Basım Tarihi: 2019
  • Doi Numarası: 10.14736/kyb-2019-4-0641
  • Dergi Adı: KYBERNETIKA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.641-667
  • Anahtar Kelimeler: ordinal sum, implication, bounded lattice, ORDINAL SUMS, TRIANGULAR NORMS, T-NORMS, OPERATORS, CONORMS
  • Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

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.