Soju structures with applications in BCK/BCI-algebras

IF 0.9 Q2 MATHEMATICS
Young Bae Jun, Seok-Zun Song, Eun Hwan Roh
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引用次数: 2

Abstract

A new structure, so called soju structure, is introduced by combining intuitionistic fuzzy set and soft set, which is applied to BCK/BCI-algebras. The notions of soju subalgebra and soju ideal in BCK/BCI-algebras are introduced, and related properties are investigated. A strong soju subalgebra in BCI-algebras is introduced, and a condition for a soju subalgebra to be strong is provided. Relations between soju subalgebra and soju ideal are discussed, and conditions for a soju structure to be a soju ideal in a BCK-algebra are considered. Characterizations of soju subalgebra and soju ideal are considered, and the homomorphic image and preimage of soju subalgebra is discussed.

Soju结构在BCK/ bci代数中的应用
将直觉模糊集与软集相结合,提出了一种新的结构——烧酒结构,并将其应用于BCK/ bci -代数。介绍了BCK/ bci -代数中的烧酒子代数和烧酒理想的概念,并研究了相关性质。在bci -代数中引入了一个强烧酒子代数,并给出了烧酒子代数强的一个条件。讨论了烧酒子代数与烧酒理想之间的关系,并考虑了bck代数中烧酒结构成为烧酒理想的条件。研究了烧酒子代数和烧酒理想的性质,讨论了烧酒子代数的同态象和原象。
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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来源期刊
Afrika Matematika
Afrika Matematika MATHEMATICS-
CiteScore
2.00
自引率
9.10%
发文量
96
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