On orders induced by implications

Kesicioglu M. N., Cogalmıs F.

IRANIAN JOURNAL OF FUZZY SYSTEMS, cilt.16, sa.6, ss.127-141, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 6
  • Basım Tarihi: 2019
  • Doi Numarası: 10.22111/ijfs.2019.5024
  • Dergi Adı: IRANIAN JOURNAL OF FUZZY SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.127-141
  • Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

In this paper, the orders induced by the residual implications obtained from uninorms are investigated. A necessary and sufficient condition is presented so that the ordinal sum of fuzzy implications satisfies the law of importation with a t-norm T. Some relationships between the orders induced by an ordinal sum implication and its summands are determined. The algebraic structures obtained from the orders induced by the residual implications and the ordinal sum implications are discussed.