关于t-范数的模糊超拟研究Γ-hyperrings

IF 0.6 Q3 MATHEMATICS

Acta Universitatis Sapientiae-Mathematica Pub Date : 2019-12-01 DOI:10.2478/ausm-2019-0023

Krisanthi Naka, K. Hila, S. Onar, B. A. Ersoy

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引用次数: 0

摘要

摘要本文利用t -模糊超集研究Γ-hyperrings。利用三角范数T，在Γ-hyperrings中定义、刻画和研究了T-模糊左、右超量、T-模糊拟超量和双超量，并研究了一些相关性质。正则Γ-hyperrings用t -模糊拟超处理和t -模糊双超处理来表示。我们还在Γ-hyperrings中引入了T-(λ，µ)-模糊双超元，并研究了它们的一些性质。

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Study of Γ-hyperrings by fuzzy hyperideals with respect to a t-norm

Abstract In this paper, we study the Γ-hyperrings via T-fuzzy hyperideals. By means of the use of a triangular norm T, we define, characterize and study the T-fuzzy left and right hyperideals, T-fuzzy quasi-hyperideal and bi-hyperideal in Γ-hyperrings and some related properties are investigated. Regular Γ-hyperrings are characterized in terms of T-fuzzy quasi-hyperideal and T-fuzzy bi-hyperideal. We also introduce the T-(λ, µ)-fuzzy bi-hyperideals in Γ-hyperrings and investigate some of their properties.

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