利用Hoops的模糊隐含演绎系统构造具有Wajesberg性质的Heyting半格

IF 0.4 Q4 MATHEMATICS Journal of Mathematical Extension Pub Date : 2021-11-03 DOI:10.30495/JME.V0I0.1861

M. Kologani, X. Xin, M. M. Takallo, Y. Jun, R. Borzooei

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引用次数: 0

摘要

本文定义了箍的$（\In，\In）$模糊蕴涵演绎系统和$（\n，\In\veeq）$模糊隐含演绎系统的概念，研究了它们的一些性质，并试图定义一些等价的定义。因此，利用环的$（\in，\in）$-模糊演绎系统的概念，我们在环上定义了一个新的同余关系，并证明了它所构成的代数结构是Brouwerian半格、Heyting代数和Wajesberg环。

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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Constructing a Heyting semilattice that has Wajesberg property by using fuzzy implicative deductive systems of Hoops

In this paper, we defined the notions of $(\in,\in)$ -fuzzy implicative deductive systems and $(\in,\in\vee q)$ -fuzzy implicative deductive systems of hoops and studied some traits and tried to define some definitions that are equivalent to them. Thus by using the notion of $(\in,\in)$ -fuzzy deductive system of hoop, we defined a new congruence relation on hoop and show that the algebraic structure that is made by it is a Brouwerian semilattice , Heyting algebra and Wajesberg hoop.

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Journal of Mathematical Extension MATHEMATICS-

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审稿时长

24 weeks