关于fuzzy -理想和fuzzy -滤波器的一些结果

IF 1.3 Q2 EDUCATION & EDUCATIONAL RESEARCH

Research in Mathematics Education Pub Date : 2023-09-27 DOI:10.1080/27684830.2023.2259687

Taye Sisay Tadesse, Kishore Parimi Radhakrishna, Melesse Mulugeta Habte

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引用次数: 0

摘要

本文研究了有序群的模糊理想和模糊滤波器的概念。我们从不同的角度给出了模糊理想和模糊滤波器的几个表征。我们观察到，对于任意模糊凸子群，我们都可以找到一个模糊理想和一个包含它的模糊滤波器。最后，对于任意模糊凸子群，可以表示为若干模糊理想与包含它的模糊滤波器的交集。

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Some results on fuzzy ℓ-ideals and fuzzy ℓ-filters in ℓ-group

In this paper, we study the concept of fuzzy ℓ-ideals and fuzzy ℓ-filters of an ordered group. We provide several characterizations for fuzzy ℓ-ideals and fuzzy ℓ-filters in different perspective. We observe that for any fuzzy convex sub ℓ-group we can find a fuzzy ℓ-ideal and a fuzzy ℓ-filter containing it. Finally, for any fuzzy convex sub ℓ-group can be expressed as the intersection of some fuzzy ℓ-ideals and fuzzy ℓ-filters containing it.

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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