Characterizing Some Types of Uninorms on Bounded Lattices

被引：1
|
作者：
Wen, Huayan [1 ]
Wu, Xinxing [2 ]
Cayli, Gul Deniz [3 ]
机构：
[1] MianYang City Coll, Mianyang 621000, Sichuan, Peoples R China
[2] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Guizhou, Peoples R China
[3] Karadeniz Tech Univ, Fac Sci, Dept Math, TR-61080 Trabzon, Turkiye
来源：
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 2023年 / 31卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Lattice; incomparability; t-norm; t-conorm; uninorm; T-NORMS; ORDINAL SUM; CONSTRUCTION;
D O I：
10.1142/S0218488523500253
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Uninorms, as important generalizations of triangular norms and conorms, let the identity e exist anywhere on a bounded lattice. In this paper, we focus on new characterizations of uninorms allowed to act on more general bounded lattices. In particular, we present several necessary and sufficient conditions to verify the construction approaches introduced by (cayli and Karacal, Kybernetika 53 (2017) 394-417) and (cayli, Fuzzy Sets Syst. 395 (2020) 107-129), yielding a uninorm on bounded lattices.
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页码：533 / 549
页数：17
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