New methods to construct uninorms on bounded lattices

ÇAYLI G. D.

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, cilt.115, ss.254-264, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 115
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1016/j.ijar.2019.10.006
  • Dergi Adı: INTERNATIONAL JOURNAL OF APPROXIMATE REASONING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.254-264
  • Anahtar Kelimeler: Bounded lattice, Uninorm, Idempotent uninorm, Neutral element, t-Norm, t-Conorm, OPERATORS, ORDER
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we study idempotent uninorms on bounded lattices. We demonstrate that there need not always exist an idempotent uninorm on a bounded lattice L having the neutral element e is an element of L\{10, 1} which differs from the least and the greatest idempotent uninorms. In addition, we propose two new methods to obtain uninorms on bounded lattices with a neutral element, where some sufficient and necessary conditions on the underlying t-norms and t-conorms are required. In particular, two new types of idempotent uninorms on bounded lattices are obtained. We also give an illustrative example for clarity. (C) 2019 Elsevier Inc. All rights reserved.