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| 模糊集范畴的性质 | |
| 引用本文： | 郑艳霞,王明璇,樊磊. 模糊集范畴的性质[J]. 湖北大学学报(自然科学版), 2011, 33(1): 7-10 |
| 作者姓名： | 郑艳霞 王明璇 樊磊 |
| 作者单位： | 1. 首都师范大学数学学院,北京,100048 2. 中央民族大学数理学院,北京,100034 3. 首都师范大学教育技术系,北京,100048 |
| 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. |
| 关 键 词： | 模糊集范畴 乘积 等子 拉回 |
Properties on categories of fuzzy sets |
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| ZHENG Yanxia,WANG Mingxuan,FAN Lei. Properties on categories of fuzzy sets[J]. Journal of Hubei University(Natural Science Edition), 2011, 33(1): 7-10 | |
| Authors: | ZHENG Yanxia WANG Mingxuan FAN Lei |
| Affiliation: | 1.School of Mathematics Science,Capital Normal University,Beijing 100089,China;2.School of Mathematics,Centeral University for Nationalities,Beijing 100081,China;3.Department of Educaitonal Technology,Capital Normal University,Beijing 100089,China) |
| Abstract: | The definition of one kind of fuzzy set category F was given in this paper and many proposals of the fuzzy set category F was discussed,such as： the relationship of F and its sub-categories,the conditions of the arrows of F by using the α-cut sets,the relationship between the arrows of F and maps of sets.Finally,the product,equantor coequantor,pullback and limit of F were given. |
| Keywords: | category of fuzzy set product equantor pullback |
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