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。
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 IVFHan 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.