模糊完备格范畴中的乘积和余积

J4 ›› 2012, Vol. 47 ›› Issue (8): 122-126.

• 论文 • 上一篇

模糊完备格范畴中的乘积和余积

周异辉¹，马崛²

1.陕西师范大学计算机科学学院，陕西西安 710062；
2.榆林学院数学系，陕西榆林 719000

收稿日期:2011-11-24 出版日期:2012-08-20 发布日期:2012-12-24
作者简介:周异辉(1981- ),女,讲师,博士,研究方向为格上拓扑与模糊推理. Email:zhouyihui@snnu.edu.cn
基金资助:
国家自然科学基金资助项目(11001158);陕西师范大学博士科研启动费

The products and coproducts in the category of fuzzy complete lattices

ZHOU Yi-hui¹, MA Jue²

1. School of Computer Science, Shaanxi Normal University, Xi’an 710062, Shaanxi, China;
2. Department of Mathematics, Yulin University, Yulin 719000, Shaanxi, China

Received:2011-11-24 Online:2012-08-20 Published:2012-12-24

摘要/Abstract

摘要：

讨论了以L-模糊完备格为对象、以保任意L-模糊集并的映射为态射的L-模糊完备格范畴LSUP中的乘积和余积,给出了乘积和余积的具体结构,推广了经典完备格范畴的结论,为研究此范畴的其他性质打下了基础。

关键词: L-模糊偏序集;L-模糊完备格;范畴;乘积;余积

Abstract:

The products and coproducts in the category of L-fuzzy complete lattices are discussed, which consists of L-fuzzy complete lattices and mappings preserving the suprema of arbitrary L-fuzzy sets. The concrete structures of the products and coproducts in this category are given, which generalizes the case of the category of classical complete lattices. The study of products and coproducts lays a foundation on the study of the other properties of the category of L-fuzzy complete lattices.

Key words: L-fuzzy poset; L-fuzzy complete lattice; category; product; coproduct

周异辉1，马崛2. 模糊完备格范畴中的乘积和余积[J]. J4, 2012, 47(8): 122-126.

ZHOU Yi-hui1, MA Jue2. The products and coproducts in the category of fuzzy complete lattices[J]. J4, 2012, 47(8): 122-126.

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模糊完备格范畴中的乘积和余积

The products and coproducts in the category of fuzzy complete lattices

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