On the structure of uninorms on bounded lattices
FUZZY SETS AND SYSTEMS, cilt.357, ss.2-26, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 357
- Basım Tarihi: 2019
- Doi Numarası: 10.1016/j.fss.2018.07.012
- Dergi Adı: FUZZY SETS AND SYSTEMS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.2-26
- Anahtar Kelimeler: Bounded lattice, Uninorm, Idempotent uninorm, Neutral element, t-norm, t-conorm, IDEMPOTENT UNINORMS, OPERATORS, ORDER
- Karadeniz Teknik Üniversitesi Adresli: Evet
Özet
Uninorms are a generalization of triangular norms and triangular conorms with a neutral element in the interior of a bounded lattice. In this study, we present two methods to construct uninorms from a given triangular norm and triangular conorm on bounded lattices under some constraints. As a by-product of these methods, we obtain new types of idempotent uninorms with a neutral element on bounded lattices. In addition, some illustrative examples for the constructions of uninorms on bounded lattices are provided. (C) 2018 Elsevier B.V. All rights reserved.