| 正则Fuzzy蕴涵代数的理想格 |
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| 引用本文： | 刘春辉.正则Fuzzy蕴涵代数的理想格[J].内蒙古师范大学学报(自然科学版),2009,38(1). |
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| 作者姓名： | 刘春辉 |
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| 作者单位： | 赤峰学院,初等教育学院,内蒙古,赤峰,024001
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| 摘 要： | 引入正则Fuzzy蕴涵代数的理想概念,并给出它的若干等价刻画; 获得了由非空子集生成的理想的表示定理; 证明了一个正则Fuzzy蕴涵代数上全体理想之集在集合包含序下构成一个分配连续格,从而构成一个Frame.
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| 关 键 词： | 正则Fuzzy蕴涵代数 理想 生成理想 连续格 |
Ideals Lattices of Regular Fuzzy Implication Algebras |
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| LIU Chun-hui.Ideals Lattices of Regular Fuzzy Implication Algebras[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2009,38(1). |
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| Authors: | LIU Chun-hui |
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| Institution: | College of Elementary Education;Chifeng University;Chifeng 024001;Inner Mongolia;China |
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| Abstract: | In this paper,the concept of ideal on regular Fuzzy implication algebras is introduced and some characterizations of ideals are given.A representation theorem about ideals which are generated by a non-empty subset of regular Fuzzy implication algebras is obtained.It is proved that the set of all ideals of regular Fuzzy implication algebra in set-inclusion order forms a distributive continuous lattice,and particularly forms a frame. |
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| Keywords: | Frame |
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