Some properties of idempotent uninorms on a special class of bounded lattices

ÇAYLI G. D., Drygas P.

INFORMATION SCIENCES, cilt.422, ss.352-363, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 422
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1016/j.ins.2017.09.018
  • Dergi Adı: INFORMATION SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.352-363
  • Anahtar Kelimeler: Uninorms, Aggregation operators, Bounded lattice, FUZZY-SET-THEORY, AGGREGATION OPERATORS, MONOTONIC OPERATIONS, ORDER
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

Binary operations have many applications in fuzzy set theory. One of them is uninorms. In this paper, we study some properties of idempotent uninorms on bounded lattices. It is shown that idempotent uninorms on an arbitrary bounded lattice need not always be internal (with the extended definition of the term "internal"). We give a sufficient condition for the bounded lattice to any idempotent uninorm be internal. In addition that it is given many properties of idempotent uninorms in this case. (C) 2017 Elsevier Inc. All rights reserved.