伪BCI-代数的导出半群与T-部分（英文）  

Derived Semi-group and T-part of Pseudo-BCI Algebras

作　　者：张小红 ZHANG Xiao-hong(Department of Mathematics, Shaanxi University of Science ＆ Technology, Xi＇ an 710021, China;Department of Mathematics,College of Arts and Sciences, Shanghai Maritime University,Shanghai 201306 ,China)

机构地区：[1]陕西科技大学文理学院数学系,陕西西安710021 [2]上海海事大学文理学院数学系,上海201306

出　　处：《模糊系统与数学》2018年第2期1-10,共10页Fuzzy Systems and Mathematics

基　　金：National Natural Science Foundation of China(Grant No.61573240;61473239)

摘　　要：伪BCI-代数是一类非经典逻辑代数,它是伪BCK-代数的推广,而伪BCK-代数与各种非可换模糊逻辑代数有密切关系。本文从任意伪BCI-代数出发,构造了两种加法运算,进而得到两个导出半群。同时,本文引入强伪BCI-代数、伪BCI-代数的T-部分等概念,给出伪BCI-代数的T-部分成为伪BCI-滤子的一些等价条件。Pseudo-BCI algebra is a kind of non-classical logicalgebra; it is a generalization of pseudo-BCK algebra which is close connection with various non-commutative fuzzy logical algebras. In this paper, from any pseudo-BCI algebra, two addition operations are established, and two derived semi-groups are obtained. Moreover, the notions of strong pseudo-BCI algebra and T-part of pseudo-BCI algebra are introduced, and some equivalent conditions for the T-part to be a pseudo-BCI filter are proved.

关 键 词：模糊逻辑 伪BCI-代数 导出半群 T-部分 强伪BCI-代数 

分 类 号：O141[理学—数学]