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Article type: Research Article
Authors: Sun, Fenga; * | Qu, Xiao-binga | Zhu, Lingb
Affiliations: [a] College of Mathematics and Information Science, Leshan Normal University, Leshan, Sichuan, China | [b] Audit Office, Leshan Normal University, Leshan, Sichuan, China
Correspondence: [*] Corresponding author. Feng Sun, College of Mathematics and Information Science, Leshan Normal University, Leshan, Sichuan 614000, China. E-mail: [email protected].
Note: [1] This work was supported by the National Natural Science Foundation of China (No.11701245) and the Scientific Research Fund of Sichuan Provincial Education Department (No.18ZA0238) and the Research Projects of Leshan Normal University (Nos.XJR17004 and ZZ201811).
Abstract: Uni-nullnorms generalize both uninorms and nullnorms. In this paper, we investigate the migrativity property for uni-nullnorms. We characterize uni-nullnorms that are α-migrative over a fixed uni-nullnorm, where the 2-neutral elements of uni-nullnorms can be the same or different. Specifically, the (α, V1)-migrativity of V when e = e1, a = a1, or e ≠ e1, a = a1 or e = e1, a ≠ a1 are characterized, where V and V1 are uni-nullnorms with 2-neutral elements {e, 1} a and {e1, 1} a1, respectively.
Keywords: Uninorms, nullnorms, 2-uninorms, uni-nullnorms, migrativity
DOI: 10.3233/JIFS-190377
Journal: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 4, pp. 5269-5279, 2019
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