| 正则剩余格的素模糊⊙理想及其拓扑性质 |
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| 引用本文： | 刘春辉.正则剩余格的素模糊⊙理想及其拓扑性质[J].山东大学学报(自然科学版),2013(12):52-56. |
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| 作者姓名： | 刘春辉 |
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| 作者单位： | [1]赤峰学院教务处,内蒙古赤峰024001 [2]赤峰学院数学与统计学院,内蒙古赤峰024001 |
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| 基金项目： | 国家自然科学基金资助项目（10371106） |
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| 摘 要： | 运用Zadeh提出的模糊集概念和运算特征对正则剩余格的模糊⊙理想理论作进一步研究。引入素模糊⊙理想的概念并研究其性质，建立了素模糊⊙理想定理。在全体素模糊⊙理想之集合P P⊙（ L）上构造了一个拓扑T，证明了拓扑空间（ P P⊙（ L），P ）是T0空间。
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| 关 键 词： | 模糊逻辑 正则剩余格 素模糊⊙理想 拓扑空间 |
Prime fuzzy ⊙-ideals and its topological properties of regular residuated lattices |
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| LIU Chun-hui.Prime fuzzy ⊙-ideals and its topological properties of regular residuated lattices[J].Journal of Shandong University(Natural Science Edition),2013(12):52-56. |
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| Authors: | LIU Chun-hui |
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| Institution: | LIU Chun-hui ( 1. Office of Academic Affairs, Chifeng University, Chifeng 024001, Inner Mongolia, China; 2. Department of Mathematics and Statistics, Chifeng University, Chifeng 024001, Inner Mongolia, China) |
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| Abstract: | We deeply study the theory of fuzzy⊙-ideals in regular residuated lattices by using the notion of fuzzy set and its operations which proposed by Zadeh.Firstly, the notion of prime fuzzy⊙-ideals is introduced and its properties are studied.And the prime fuzzy⊙-ideals theorem is established.Secondly, a topology T is constructed on the set of all prime fuzzy⊙-ideals PI⊙（ L） .It is proved that the topology space （ PI⊙（ L） , T ） is T0-space. |
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| Keywords: | fuzzy logic regular residuated lattice prime fuzzy ⊙-ideal topological space |
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