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ÇAYLI G. D.
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, vol.28, no.5, pp.807-835, 2020 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
28
Issue:
5
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Publication Date:
2020
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Doi Number:
10.1142/s021848852050035x
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Journal Name:
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Compendex, Computer & Applied Sciences, zbMATH
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Page Numbers:
pp.807-835
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Keywords:
Bounded lattice, T-norm, T-conorm, Ordinal sum, TRIANGULAR NORMS, ORDINAL SUMS, UNINORMS
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Karadeniz Technical University Affiliated:
Yes
Abstract
In this paper, we study t-norms and t-conorms on bounded lattices. We propose new methods for generating these operators, applicable on any bounded lattice M by use of the presence of a t-norm on [0(M), k] and a t-conorm on [k, 1(M)] for an element k is an element of M/{0(M), 1(M)}. In addition, some corresponding examples are provided for well understanding the structure of new t-norms and t-conorms.