(λ,μ)-fuzzy bi-ideals and (λ,μ)-fuzzy quasi-ideals in semigroups

Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (35): 58-60.

• 研究、探讨 • Previous Articles Next Articles

(λ,μ)-fuzzy bi-ideals and (λ,μ)-fuzzy quasi-ideals in semigroups

LI Zhongjie1，YAO Bingxue2

1.Shandong Business Institute，Yantai，Shandong 264760，China
2.School of Mathematics Science，Liaocheng University，Liaocheng，Shandong 252059，China

Received:1900-01-01 Revised:1900-01-01 Online:2011-12-11 Published:2011-12-11

半群中的(λ,μ)-模糊双理想与(λ,μ)-模糊拟理想

李忠杰1，姚炳学2

1.山东商务职业学院，山东烟台 264760
2.聊城大学数学科学学院，山东聊城 252059

Abstract

Abstract: In order to generalize the notions of various fuzzy ideals in a semigroup，the concepts of (λ,μ)-fuzzy bi-ideal and (λ,μ)-fuzzy quasi-ideal are introduced.Some properties of such ideals are discussed and several equivalent conditions are obtained.At last，the characterizations of regular semigroups are given.

Key words: (λ, μ)-fuzzy bi-ideal, (λ, μ)-fuzzy quasi-ideal, cut set, regular semigroup

摘要： 在一个半群中引入了(λ,μ)-模糊双理想和(λ,μ)-模糊拟理想的概念，研究了这些理想的基本性质，并给出了它们的一些等价条件。最后，利用(λ,μ)-模糊双理想和(λ,μ)-模糊拟理想，刻画了正则半群的特征。

关键词: (λ, μ)-模糊双理想, (λ, μ)-模糊拟理想, 截集, 正则半群

LI Zhongjie1，YAO Bingxue2. (λ,μ)-fuzzy bi-ideals and (λ,μ)-fuzzy quasi-ideals in semigroups[J]. Computer Engineering and Applications, 2011, 47(35): 58-60.

李忠杰1，姚炳学2. 半群中的(λ,μ)-模糊双理想与(λ,μ)-模糊拟理想[J]. 计算机工程与应用, 2011, 47(35): 58-60.

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(λ,μ)-fuzzy bi-ideals and (λ,μ)-fuzzy quasi-ideals in semigroups

半群中的(λ,μ)-模糊双理想与(λ,μ)-模糊拟理想

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