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

ÇAYLI G. D., Drygas P.

INFORMATION SCIENCES, vol.422, pp.352-363, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 422
  • Publication Date: 2018
  • Doi Number: 10.1016/j.ins.2017.09.018
  • Journal Name: INFORMATION SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.352-363
  • Keywords: Uninorms, Aggregation operators, Bounded lattice, FUZZY-SET-THEORY, AGGREGATION OPERATORS, MONOTONIC OPERATIONS, ORDER
  • Karadeniz Technical University Affiliated: Yes

Abstract

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.