Characterizing idempotent nullnorms on a special class of bounded lattices
FUZZY SETS AND SYSTEMS, cilt.427, ss.161-173, 2022 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 427
- Basım Tarihi: 2022
- Doi Numarası: 10.1016/j.fss.2020.11.016
- Dergi Adı: FUZZY SETS AND SYSTEMS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Communication Abstracts, Computer & Applied Sciences, INSPEC, zbMATH
- Sayfa Sayıları: ss.161-173
- Anahtar Kelimeler: Lattice, Nullnorm, Idempotent nullnorm, Zero element, T-NORMS, UNINORMS, DISTRIBUTIVITY, OPERATORS, CONSTRUCTION, EQUATIONS, CONORMS
- Karadeniz Teknik Üniversitesi Adresli: Evet
Özet
Nullnorms with a zero element being at any point of a bounded lattice are an important generalization of triangular norms and triangular conorms. This paper obtains an equivalent characterization for the existence of idempotent nullnorms with the zero element a on any bounded lattice containing only two distinct elements incomparable with a. Furthermore, some basic properties for the bounded lattice containing only two distinct elements incomparable with a are presented. (c) 2020 Elsevier B.V. All rights reserved.