关于模糊舍弗冲程-代数

IF 0.7 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

New Mathematics and Natural Computation Pub Date : 2023-11-11 DOI:10.1142/s179300572550005x

Tahsin Oner, Tugce Katican, Arsham Borumand Saeid

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引用次数: 0

摘要

本文研究了模糊Sheffer冲程be代数。然后定义了模糊sbe -子代数、模糊sbe -滤波器、模糊子集和模糊点在Sheffer stroke - be -代数(简称sbe -代数)上的笛卡尔积，并证明了sbe -代数中所有模糊点的族是弱sbe -代数，通常不是sbe -代数。解释了这个族形成sbe代数的情况。利用模糊点描述了一个sbe代数的弱sbe滤波器，并研究了一个sbe代数上各sbe滤波器之间的关系。

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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On fuzzy sheffer stroke be-algebras

In this study, fuzzy Sheffer stroke BE-algebras are studied. Then a fuzzy SBE-subalgebra, a fuzzy SBE-filter, the cartesian product of fuzzy subsets and fuzzy points on a Sheffer stroke BE-algebra (briefly, SBE-algebra) are defined and it is shown that the family of all fuzzy points in a SBE-algebra is a weak SBE-algebra which is usually not a SBE-algebra. The case in which this family forms a SBE-algebra is interpreted. Also, a weak SBE-filter of a SBE-algebra is described by means of the fuzzy points and the relationships between various SBE-filters on a SBE-algebra are investigated.

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来源期刊

New Mathematics and Natural Computation MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.70

自引率

10.00%

发文量