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.

引用

页数：12

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