Atıf İçin Kopyala
Wu X., Liang S., ÇAYLI G. D.
FUZZY SETS AND SYSTEMS, cilt.427, ss.161-173, 2022 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
427
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Basım Tarihi:
2022
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Doi Numarası:
10.1016/j.fss.2020.11.016
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Dergi Adı:
FUZZY SETS AND SYSTEMS
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Communication Abstracts, Computer & Applied Sciences, INSPEC, zbMATH
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Sayfa Sayıları:
ss.161-173
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Anahtar Kelimeler:
Lattice, Nullnorm, Idempotent nullnorm, Zero element, T-NORMS, UNINORMS, DISTRIBUTIVITY, OPERATORS, CONSTRUCTION, EQUATIONS, CONORMS
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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.