On Boolean elements and derivations in 2-dimension linguistic lattice implication algebras

被引：0
作者：
Hua Zhu
Jian-bin Zhao
机构：
[1] Zhengzhou University,School of Mathematics and Statistics
[2] Zhengzhou University,Henan Academy of Big Data
[3] Henan Key Laboratory of Financial Engineering,undefined
[4] Key Laboratory of Big Data Analysis and Application,undefined
来源：
Applied Mathematics-A Journal of Chinese Universities | 2023年 / 38卷
关键词：
derivation; Boolean element; Lattice implication algebra (LIA); 2-dimension linguistic lattice implication algebra (2DL-LIA); 2-dimension fuzzy linguistic information; 06B10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A 2-dimension linguistic lattice implication algebra (2DL-LIA) can build a bridge between logical algebra and 2-dimension fuzzy linguistic information. In this paper, the notion of a Boolean element is proposed in a 2DL-LIA and some properties of Boolean elements are discussed. Then derivations on 2DL-LIAs are introduced and the related properties of derivations are investigated. Moreover, it proves that the derivations on 2DL-LIAs can be constructed by Boolean elements.
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页码：274 / 292
页数：18
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