关于PMS代数直觉模糊PMS子代数的同态性和笛卡尔积

Q2 Arts and Humanities

Bulletin of the Section of Logic Pub Date : 2023-04-21 DOI:10.18778/0138-0680.2023.08

Beza Lamesgin Derseh, Berhanu Assaye Alaba, Y. G. Wondifraw

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引用次数: 0

摘要

本文引入了直觉模糊PMS子代数在同态和笛卡尔积下的概念，并研究了几个性质。我们研究了PMS代数的直觉模糊PMS子代数的同态映象和逆映象，它们也是PMS代数的直观模糊PMS子子代数，并发现了一些其他有趣的结果。此外，我们还证明了直觉模糊PMS-子代数的笛卡尔积又是一个直觉模糊PMM-子代数，并用它的水平集来刻画它。最后我们考虑了PMS代数中直觉模糊集上最强的直觉模糊PMS关系，并证明了PMS代数上直觉模糊集的直觉模糊-PMS关系是直觉模糊-PSM子代数当且仅当PMS代数中对应的直觉模糊集是PMS代数的直觉模糊PMS-子代数。

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On Homomorphism and Cartesian Product of Intuitionistic Fuzzy PMS-Subalgebras of a PMS-Algebra

In this paper, we introduce the notion of intuitionistic fuzzy PMS-subalgebras under homomorphism and Cartesian product and investigate several properties. We study the homomorphic image and inverse image of the intuitionistic fuzzy PMS-subalgebras of a PMS-algebra, which are also intuitionistic fuzzy PMS-subalgebras of a PMS-algebra, and find some other interesting results. Furthermore, we also prove that the Cartesian product of intuitionistic fuzzy PMS- subalgebras is again an intuitionistic fuzzy PMS-subalgebra and characterize it in terms of its level sets. Finally, we consider the strongest intuitionistic fuzzy PMS-relations on an intuitionistic fuzzy set in a PMS-algebra and demonstrate that an intuitionistic fuzzy PMS-relation on an intuitionistic fuzzy set in a PMS-algebra is an intuitionistic fuzzy PMS-subalgebra if and only if the corresponding intuitionistic fuzzy set in a PMS-algebra is an intuitionistic fuzzy PMS-subalgebra of a PMS-algebra.

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来源期刊

Bulletin of the Section of Logic Arts and Humanities-Philosophy

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

8 weeks