Construction of Uninorms on Bounded Lattices with Incomparable Elements that are Neither Conjunctive Nor Disjunctive

ÇAYLI G. D.

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, cilt.30, sa.6, ss.951-974, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 6
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1142/s0218488522500283
  • Dergi Adı: INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Computer & Applied Sciences, zbMATH
  • Sayfa Sayıları: ss.951-974
  • Anahtar Kelimeler: Bounded lattice, Conjunctive uninorm, Disjunctive uninorm, Annihilator, Identity, Uninorm, TRIANGULAR NORMS, T-NORMS, AGGREGATION FUNCTIONS
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

This paper investigates uninorms that are neither conjunctive nor disjunctive on bounded lattices. New methods are introduced for construction of such uninorms, where some restrictions on the identity and the annihilator are considered. In particular, new types of idempotent uninorms on bounded lattices are obtained. Furthermore, some specific examples are provided to illustrate that these constructions differ from the existing ones.