摘要
运用模糊理论的方法和原理,首先给出了模糊集范畴Set(L)的定义,并证明了范畴Set(L)中存在拉回.其次研究了范畴Set(L)双拉回的性质和单态射的性质.最后对于三类特殊的拉回进行了探讨.
Abstract
Using the method and principle of fuzzy theories,firstly,the definition of fuzzy sets category Set(L)are given,and the existence of pullback in the category Set(L)are proved.Secondly,the properties of double pullback and monomorphism of category Set(L)are studied.Finally,three kinds of special pullbacks are discussed.
基金项目
新疆伊犁州科技计划(YZ2022Y010)
伊犁师范大学博士科研启动基金(2021YSBS011)
伊犁师范大学提升学科综合实力专项项目(2022XKZY08)
伊犁师范大学科研创新团队项目(CXZK2021014)