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

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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.

作者 ZHU Hua ZHAO Jian-bin

机构地区 School of Mathematics and Statistics Henan Academy of Big Data Henan Key Laboratory of Financial Engineering Key Laboratory of Big Data Analysis and Application

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2023年第2期274-292,共19页 高校应用数学学报（英文版）（B辑）

基金 Supported by the National Natural Science Foundation of China(11501523,61673320)。

关键词 DERIVATION Boolean element Lattice implication algebra(LIA) 2-dimension linguistic lattice implication algebra(2DL-LIA) 2-dimension fuzzy linguistic information

分类号 O159 [理学—数学]

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Applied Mathematics(A Journal of Chinese Universities)

2023年第2期

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

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