| 区间值模糊滤子范畴 |
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| 引用本文： | 信秀,李生刚.区间值模糊滤子范畴[J].模糊系统与数学,2007,21(2):19-25. |
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| 作者姓名： | 信秀 李生刚 |
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| 作者单位： | 陕西师范大学,数学与信息科学学院,陕西,西安,710062 |
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| 摘 要： | 讨论区间值模糊滤子范畴IVF和Hausdorff区间值模糊滤子范畴IVFHau中乘积、余积、等子、余等子存在性及构造。证明IVF和IVFHau都不是完备范畴而IVF是余完备范畴。也证明IVF不仅有许多弱拓扑满子范畴,也有许多非弱拓扑满子范畴。
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| 关 键 词： | 范畴IVF 乘积 余积 等子 余等子 完备 余完备 弱拓扑范畴 |
| 文章编号： | 1001-7402（2007）02-0019-07 |
| 收稿时间： | 2005-12-06 |
| 修稿时间： | 2005年12月6日 |
The Category of Interval Valued Fuzzy Filters |
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| XIN Xiu,LI Sheng-gang.The Category of Interval Valued Fuzzy Filters[J].Fuzzy Systems and Mathematics,2007,21(2):19-25. |
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| Authors: | XIN Xiu LI Sheng-gang |
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| Abstract: | In this paper,the existence and structures of products,coproducts,equalizers, and coequalizers in the category IVF of interval valued fuzzy filters and the category IVFHau of Hausdorff interval valued fuzzy filters are discussed.It is proved that neither IVF nor IVFHau is completed,and that IVF is cocompleted.It is also proved that IVF both has many weak topological full subcategories and has many unweak topological full subcategories. |
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| Keywords: | Category IVF Product Coproduct Equalizer Coequalizer Completeness Cocompleteness Weak Topological Category |
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