Construction of non-direct product triangular norms on product lattices

被引：1
|
作者：
Geng, Jun [1 ,2 ,3 ]
Wang, Rina [4 ]
Chen, Ziwen [5 ]
机构：
[1] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China
[2] Inner Mongolia Ctr Appl Math, Hohhot 010022, Peoples R China
[3] Minist Educ, Key Lab Infinite dimens Hamiltonian Syst & Its Alg, Hohhot 010022, Peoples R China
[4] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China
[5] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2023年 / 469卷
关键词：
Triangular norm; Product lattice; Non-direct product; T-NORMS; DIRECT DECOMPOSABILITY; CONORMS;
D O I：
10.1016/j.fss.2023.108637
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we focus on the construction of non-direct product triangular norms on product lattices. First, we give one class of non-direct product triangular norms on more general product lattices, which generalizes the previous results. Subsequently, we provide another class of non-direct product triangular norms on product lattices, which differ from others. Our work gives an alternative answer to an open problem proposed by Jenei and De Baets.& COPY; 2023 Elsevier B.V. All rights reserved.
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页数：12
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