分配格中的模糊理想

IF 1.3 Q2 EDUCATION & EDUCATIONAL RESEARCH

Research in Mathematics Education Pub Date : 2023-10-17 DOI:10.1080/27684830.2023.2266902

Wondwosen Zemene Norahun

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引用次数: 0

摘要

本文研究了最小元素为0的分配格中的o -模糊理想的概念，作为δ-模糊理想的推广。研究了o型模糊理想的性质，并建立了它们与其他类型模糊理想的关系。我们观察到χ{0}可能不是O-fuzzy理想。由此，我们得到了χ{0}成为o -模糊理想的充分必要条件。证明了O-fuzzy类是一个分配格。此外，我们还建立了o -模糊理想是完全分配格的充分必要条件。

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O-Fuzzy ideals in distributive lattices

In this paper, we study the concept of O-fuzzy ideals in distributive lattices with the least element 0 as a generalization of δ-fuzzy ideals. We investigate the properties of O-fuzzy ideals and establishes their relationships with other types of fuzzy ideals. We observe that χ{0} may not be an O-fuzzy ideal. Hence, we derive a necessary and sufficient condition for χ{0} to become an O-fuzzy ideal. It is proved that the class of O-fuzzy is a distributive lattice. Moreover, we establish a necessary and sufficient condition for the class of O-fuzzy ideals to be a complete distributive lattice.

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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