Sheffer stroke operation on L-algebras via an algorithmic approach

IF 3.1 3区计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

Soft Computing Pub Date : 2024-08-19 DOI:10.1007/s00500-024-09906-6

Necla Kırcalı Gürsoy, Tahsin Öner, Arif Gürsoy, Alper Ülker

引用次数: 0

Abstract

In this study, we introduce the Sheffer stroke L-algebra and prove some fundamental theorems, propositions and lemmas of Sheffer Stroke L-algebras. The notions of filter and ultrafilter for Sheffer stroke L-algebra are studied. We give subalgebra and normal subset definitions of a Sheffer stroke L-algebras. Moreover, a homomorphism between Sheffer stroke L-algebras is introduced and isomorphism theorems are presented. Finally, we give three new algorithms for Sheffer stroke L-algebras. Thus, it is contributed to researchers on different application areas by presenting an algorithmic approach on this subject, for the first time in the literature.

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通过算法对 L 后拉进行谢弗行程运算

在本研究中，我们介绍了 Sheffer 冲程 L-代数，并证明了 Sheffer 冲程 L-代数的一些基本定理、命题和定理。研究了谢弗行程 L- 代数的滤波和超滤波概念。我们给出了 Sheffer 冲程 L-gebras 的子代数和法子集定义。此外，我们还引入了 Sheffer 冲程 L-gebras 之间的同构，并给出了同构定理。最后，我们给出了 Sheffer stroke L- 算法的三种新算法。因此，通过在文献中首次提出关于这一主题的算法方法，它为不同应用领域的研究人员做出了贡献。

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

Soft Computing 工程技术-计算机：跨学科应用

CiteScore

8.10

自引率

9.80%

发文量

927

审稿时长

7.3 months

期刊介绍： Soft Computing is dedicated to system solutions based on soft computing techniques. It provides rapid dissemination of important results in soft computing technologies, a fusion of research in evolutionary algorithms and genetic programming, neural science and neural net systems, fuzzy set theory and fuzzy systems, and chaos theory and chaotic systems. Soft Computing encourages the integration of soft computing techniques and tools into both everyday and advanced applications. By linking the ideas and techniques of soft computing with other disciplines, the journal serves as a unifying platform that fosters comparisons, extensions, and new applications. As a result, the journal is an international forum for all scientists and engineers engaged in research and development in this fast growing field.