半群中的广义(Alpha, Beta)-模糊内理想

2010 Third International Joint Conference on Computational Science and Optimization Pub Date : 2010-05-28 DOI:10.1109/CSO.2010.18

Zuhua Liao, Miaohan Hu, Min Chen, Li-hua Yi, M. Rui, Jinhua Lu, Chunzhi Liu

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引用次数: 2

摘要

本文引入了(α， β)-模糊内理想的概念，讨论了(α， β)-模糊内理想的一些基本性质。α和β将表示∈q(λ，μ)中的任意一个，∈∨q(λ，μ)或∈∧q(λ，μ)，且α≠∈∧q(λ，μ)，除非另有说明。当λ=0，μ=0.5时，Jun和Song [Y]得到了相应的结果。宋树忠，宋树忠，半群的广义模糊内理想，信息学报。科学通报，2006,26(6):379 - 393。当λ=0，μ=1时，我们可以得到一般的结果。

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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Generalized (Alpha, Beta)-Fuzzy Interior Ideals in Semigroups

In this paper, we introduce the concept of (alpha,beta)-fuzzy interior ideals and discuss some fundamental properties of (alpha,beta)-fuzzy interior ideals. Alpha and beta will denote any one of ∈, q(λ,μ),∈∨q(λ,μ) or ∈∧q(λ,μ) with α≠∈∧q(λ,μ) unless otherwise specified. When λ=0,μ=0.5, we can get corresponding results in Jun and Song [Y. B. Jun, S. Z. Song, Generalized fuzzy interior ideals in semi groups, Inform. Sci. 2006, 176: 3079-3093]. When λ=0,μ=1, we can get the common results.

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2010 Third International Joint Conference on Computational Science and Optimization

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