模糊集理论在自动化代数中的应用。

Q2 Pharmacology, Toxicology and Pharmaceutics

F1000Research Pub Date : 2025-02-04 eCollection Date: 2025-01-01 DOI:10.12688/f1000research.161249.1

Gebrie Yeshiwas Tilahun

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引用次数: 0

摘要

引入了自动化代数的模糊子代数，并研究了它们的性质。此外，我们提出了自动化代数的模糊理想，并提供了例子来说明我们的发现。我们研究了模糊子代数和理想的正象和逆象的同态。进一步，我们引入了自动化代数上的模糊同余。证明了在正常的自动化代数中，所有模糊理想的集合与所有模糊同余的集合是一一对应的。

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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Fuzzy Set Theory Applied on Autometrized Algebra.

This paper introduces fuzzy subalgebras of autometrized algebras and studies their properties. Also, we present fuzzy ideals of autometrized algebras and provide examples to illustrate our findings. We examine the homomorphisms of both the images and the inverse images of fuzzy subalgebras and ideals. Furthermore, we introduce fuzzy congruences on autometrized algebras. We prove that in normal autometrized algebra, the set of all fuzzy ideals is in one-to-one correspondence with the set of all fuzzy congruences.

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来源期刊

F1000Research Pharmacology, Toxicology and Pharmaceutics-Pharmacology, Toxicology and Pharmaceutics (all)

CiteScore

5.00

自引率

0.00%

发文量

1646

审稿时长

1 weeks

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