| MTL-代数的区间值$(\in,\in \vee q)$-模糊滤子 |
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| 引用本文： | 马学玲,詹建明,岑嘉评.MTL-代数的区间值$(\in,\in \vee q)$-模糊滤子[J].数学研究与评论,2010,30(2):265-276. |
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| 作者姓名： | 马学玲 詹建明 岑嘉评 |
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| 作者单位： | 湖北民族学院数学系, 湖北 恩施 445000;湖北民族学院数学系, 湖北 恩施 445000;香港大学数学系, 中国 香港 |
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| 基金项目： | 国家自然科学基金项目(Grant No.60875034),湖北省教育厅重点科研项目(Grant Nos.D20092901;Q20092907)和湖北省自然科学基金项目(Grant No.2009CDB340). |
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| 摘 要： | The concepts of interval valued （∈,∈ ∨q）-fuzzy Boolean, MV - and G- filters in a MTL-algebra are introduced. The properties of these generalized fuzzy filters are studied and in particular, the relationships between these fuzzy filters in an MTL-algebra are investigated.
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| 关 键 词： | 模糊滤波器 布尔代数 区间值 MTL 过滤器 货箱 |
| 收稿时间： | 2008/4/21 0:00:00 |
| 修稿时间： | 7/7/2008 12:00:00 AM |
Interval Valued $(\in,\in\vee q)$-Fuzzy Filters of MTL-Algebras |
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| Xue Ling MA,Jian Ming ZHAN and Kar Ping SHUM.Interval Valued $(\in,\in\vee q)$-Fuzzy Filters of MTL-Algebras[J].Journal of Mathematical Research and Exposition,2010,30(2):265-276. |
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| Authors: | Xue Ling MA Jian Ming ZHAN and Kar Ping SHUM |
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| Institution: | Department of Mathematics, Hubei Institute for Nationalities, Hubei 445000, P. R. China;Department of Mathematics, Hubei Institute for Nationalities, Hubei 445000, P. R. China;Department of Mathematics, The University of Hong Kong, Hong Kong, P. R. China (SAR) |
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| Abstract: | The concepts of interval valued $(\in,\in\vee q)$-fuzzy Boolean, $MV$- and $G$- filters in a MTL-algebra are introduced. The properties of these generalized fuzzy filters are studied and in particular, the relationships between these fuzzy filters in an MTL-algebra are investigated. |
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| Keywords: | MTL-algebra filter interval valued $(\in \in\vee q)$-fuzzy (Boolean $MV$- and $G$-) filters |
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