p -代数中的γ -模糊滤波器和γ -模糊滤波器的空间

IF 1.3 Q2 EDUCATION & EDUCATIONAL RESEARCH

Research in Mathematics Education Pub Date : 2023-09-21 DOI:10.1080/27684830.2023.2258591

Wondwosen Zemene Norahun, Teferi Getachew Alemayehu

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引用次数: 0

摘要

本文在伪补分布格中引入了γ−模糊滤波器的概念。我们研究了一类特殊的模糊滤波器γ−模糊滤波器，它与助推器格的所有模糊理想集合同构。我们观察到每个γ -模糊滤波器都是包含它的所有素数γ -模糊滤波器的交集。我们还对伪完备分布格的所有素数γ−模糊滤波器集合进行了拓扑化。研究了空间的性质。我们证明了一类γ−模糊滤波器与Pγ中所有开集的格之间存在一一对应关系。证明了空间Pγ是一个T0空间。

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γ -fuzzy filters and space of γ -- fuzzy filters in P-algebra

In this paper, we introduce the concept of γ−fuzzy filters in a pseudo-complemented distributive lattices. We study the special class of fuzzy filters called γ−fuzzy filters, which is isomorphic to the set of all fuzzy ideals of the lattice of boosters. We observe that every γ−fuzzy filters is the intersection of all prime γ−fuzzy filters containing it. We also topologize the set of all prime γ−fuzzy filters of a pseudo-completed distributive lattice. Properties of the space also studied. We show that there is a one to one correspondence between the class of γ−fuzzy filters and the lattice of all open sets in Pγ. It is proved that the space Pγ is a T0 space.

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来源期刊

Research in Mathematics Education EDUCATION & EDUCATIONAL RESEARCH-

CiteScore

3.00

自引率

15.40%

发文量