广义粗糙集在BCK/BCI代数中的应用

Q4 Mathematics

Discussiones Mathematicae - General Algebra and Applications Pub Date : 2021-09-06 DOI:10.7151/dmgaa.1364

Y. Jun, S. Song, E. Roh

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引用次数: 2

摘要

摘要考虑BCK/BCI-代数中的（强）集值BCK/BCI态射的概念，并研究了几个性质。给出了集值映射为集值BCK/BCI态射的条件。利用广义逼近空间的概念，引入BCK/BCI-代数中的广义粗糙子代数（理想），并研究了它们的性质。利用BCK/bCI代数的广义逼近空间和理想的概念，考虑了另一类基于理想的广义上下近似，并研究了几个性质。

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Generalized Rough Sets Applied to BCK/BCI-Algebras

Abstract The concept of a (strong) set-valued BCK/BCI-morphism in BCK/BCI-algebras is considered, and several properties are investigated. Conditions for a set-valued mapping to be a set-valued BCK/BCI-morphism are given. Using the concept of generalized approximation space, generalized rough subalgebra (ideal) in BCK/BCI-algebras are introduced, and investigate their properties. Using the concept of generalized approximation space and ideal of BCK/bCI-algebra, another type of generalized lower and upper approximations based on the ideal is considered, and then several properties are investigated.

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来源期刊

Discussiones Mathematicae - General Algebra and Applications Mathematics-Algebra and Number Theory

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

26 weeks