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Article type: Research Article
Authors: Zhu, Kuanyuna | Wang, Jingrub; * | Jiang, Binghuac
Affiliations: [a] School of Information and Mathematics, Yangtze University, Jingzhou, P.R. China | [b] School of Business Administration, Hunan University, Changsha, P.R. China | [c] School of Mathematics and Statistics, Hubei Normal University, Huangshi, P.R. China
Correspondence: [*] Corresponding author. Jingru Wang, School of Business Administration, Hunan University, Changsha, 410082, P.R. China. E-mail: wangjingru@hnu.edu.cn.
Abstract: Recently, Qiao [8] investigated the distributive laws of uninorms over overlap and grouping functions when the uninorms were one of the usual classes (e.g., Umin , Umax , the family of idempotent uninorms, representable uninorms or uninorms continuous on ] 0, 1 [2) and obtained some characterizations. As an addendum to [8], in this paper, we investigate the distributive laws of overlap and grouping functions over uninorms. In addition, we show some characterizations when the uninorm U belongs to one certain class.
Keywords: Overlap functions, grouping functions, uninorms, distributive laws
DOI: 10.3233/JIFS-191168
Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 4, pp. 4441-4446, 2020
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