粗糙的理想以理想为基础，确定了品种

Q4 Mathematics

Algebraic Structures and their Applications Pub Date : 2019-03-01 DOI:10.29252/AS.2019.1334

S. Rasouli

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引用次数: 0

摘要

本文主要研究粗糙集理论与通用代数的关系。引入了由理想导出的代数结构的上下粗糙近似的概念，并研究了它们的一些性质。同时，引入并研究了关于代数结构的理想的粗糙子代数和粗糙理想的概念，这是代数结构中的子代数和理想概念的扩展。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Rough ideals based on ideal determined varieties

The paper is devoted to concern a relationship between rough set theory and universal algebra. Notions of lower and upper rough approximations on an algebraic structure induced by an ideal are introduced and some of their properties are studied. Also, notions of rough subalgebras and rough ideals with respect to an ideal of an algebraic structure, which is an extended notion of subalgebras and ideals in an algebraic structure, are introduced and investigated.

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来源期刊

Algebraic Structures and their Applications Mathematics-Algebra and Number Theory

CiteScore

0.60

自引率

0.00%

发文量