模糊集范畴的性质

摘要

定义一种模糊集范畴F,讨论了F具有的范畴性质:F与子集范畴之间的关系;F上的态射用a-截集表示的条件;F上态射和映射的关系:证明了F的乘积、等子、余等子、拉回和极限等存在,并给出它们的具体形式.%The definition of one kind of fuzzy set category (￡)was given in this paper and many proposals of the fuzzy set category (￡)was discussed, such as: the relationship of (￡) and its subcategories,the conditions of the arrows of (￡) by using the α-cut sets, the relationship between the arrows of (￡)and maps of sets. Finally, the product, equantor coequantor, pullback and limit of (￡)were given.