| Fuzzy蕴涵代数的区间值fuzzy滤子 |
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| 引用本文： | 秦学成,刘春辉.Fuzzy蕴涵代数的区间值fuzzy滤子[J].计算机工程与应用,2010,46(31):39-42. |
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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Zadeh提出的区间值fuzzy集的概念应用于Fuzzy蕴涵代数（简称FI代数），提出了FI代数的区间值fuzzy滤子概念并研究其性质。给出了区间值fuzzy集成为区间值fuzzy滤子的两个充要条件；讨论了区间值fuzzy滤子与MP滤子以及fuzzy滤子间的关系；定义了区间值fuzzy滤子的象与原象，获得了它们成为区间值fuzzy滤子的条件。
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| 关 键 词： | FI代数 区间值fuzzy集 MP滤子 fuzzy滤子 区间值fuzzy滤子 |
| 收稿时间： | 2009-12-10 |
| 修稿时间： | 2010-5-10
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Interval valued fuzzy filters in fuzzy implication algebras |
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| QIN Xue-cheng,LIU Chun-hui.Interval valued fuzzy filters in fuzzy implication algebras[J].Computer Engineering and Applications,2010,46(31):39-42. |
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| Authors: | QIN Xue-cheng LIU Chun-hui |
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| Affiliation: | (Department of Elementary Education, Chifeng University＇, Chifeng, Inner Mongolia 024001, China) |
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| Abstract: | Apply the concept of interval valued fuzzy set which is introduced by Zadeh to fuzzy implication algebras（in short,FI-algebras） ,introduce the notion of interval valued fuzzy filters in FI-algebras and discuss their properties.Two sufficient and necessary conditions for interval valued fuzzy set to an interval valued fuzzy filter are given; The relations between interval valued fuzzy filters and MP filters,fuzzy filters of FI-algebras are discussed;The images and inverse images of interval valued fuzzy filters are defined, and the conditions for them to interval valued fuzzy filters are obtained. |
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| Keywords: | FI-algebras interval valued fuzzy sets MP filters fuzzy filters interval valued fuzzy filters |
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