| 格蕴涵代数的区间值模糊子代数 |
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| 引用本文： | 秦学成,刘春辉.格蕴涵代数的区间值模糊子代数[J].纯粹数学与应用数学,2011,27(6):801-807. |
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| 作者姓名： | 秦学成 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： | 将区间值模糊集的概念应用于格蕴涵代数,引入区间值模糊格蕴涵子代数的概念并研究它们的性质.讨论了区间值模糊格蕴涵子代数与（模糊）格蕴涵子代数之间的关系;定义了区间值模糊集的象和原象,获得了区间值模糊格蕴涵子代数的象和原象成为区间值模糊格蕴涵子代数的条件.
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| 关 键 词： | 模糊逻辑 区间值模糊集 格蕴涵代数 区间值模糊格蕴涵子代数 |
Interval-valued fuzzy subalgebras of lattice implication algebras |
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| QIN Xue-cheng,LIU Chun-hui.Interval-valued fuzzy subalgebras of lattice implication algebras[J].Pure and Applied Mathematics,2011,27(6):801-807. |
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| Authors: | QIN Xue-cheng LIU Chun-hui |
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| Institution: | (Department of Elementary Education,Chifeng University,Chifeng 024001,China) |
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| Abstract: | In this paper,we apply the concept of interval valued fuzzy sets to lattice implication algebras,introduced the notion of interval valued fuzzy lattice implication subalgebras and discussed their properties.The relations between interval valued fuzzy lattice implication subalgebras and（fuzzy） lattice implication subalgebras are discussed.The images and inverse images of interval valued fuzzy sets are defined,and the conditions for the images and inverse images of interval valued fuzzy lattice implication subalgebras to be interval valued fuzzy lattice implication subalgebras are obtained. |
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| Keywords: | fuzzy logic interval valued fuzzy sets lattice implication algebras interval valued fuzzy lattice implication subalgebras |
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