Methods for obtaining uninorms on some special classes of bounded lattices

被引:0
作者
Cayli, G. D. [1 ]
Mesiar, R. [2 ,3 ]
机构
[1] Karadeniz Tech Univ, Fac Sci, Dept Math, TR-61080 Trabzon, Turkiye
[2] Slovak Univ Technol Bratislava, Fac Civil Engn, Dept Math & Descript Geometry, Radlinskho 11, Bratislava 81005, Slovakia
[3] IRAFM, Div Univ Ostrava, Ctr Excellence IT4Innovat, 30 Dubna 22, Ostrava 70103, Czech Republic
来源
IRANIAN JOURNAL OF FUZZY SYSTEMS | 2023年 / 20卷 / 07期
关键词
Bounded lattice; idempotent uninorm; t-norm; t-conorm; uninorm; T-NORMS; ORDINAL SUMS; CONSTRUCTION; CONORMS;
D O I
10.22111/IJFS.2023.7660
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we go on to discuss the structure of uninorms on bounded lattices. We suggest two techniques to yield uninorms with some constraints on the identity element by applying that the t-norms and t-conorms are always present on the considered bounded lattices. These techniques ensure new approaches for getting idempotent uninorms on bounded lattices when regarding infimum t-norm and supremum t-conorm. Furthermore, we display the distinctness between our new construction techniques and the published ones.
引用
收藏
页码:111 / 126
页数:16
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