完备L-模糊偏序集范畴中的自由对象

数学季刊 ›› 2013, Vol. 28 ›› Issue (3): 331-337.

完备L-模糊偏序集范畴中的自由对象

School of Computer Science, Shaanxi Normal University

收稿日期:2011-11-01 出版日期:2013-09-30 发布日期:2023-02-22
作者简介:ZHOU Yi-hui(1981-), female, native of Licounty, Hebei, a lecturer of Shaanxi Normal University, Ph.D., engages in topology on lattices.
基金资助:
Supported by the NNSF of China(11001158)； Supported by the Scientific Research Start-up Costs for Doctor Graduates Shaanxi Normal University

The Free Abjects in the Category of Complete L-fuzzy Posets

School of Computer Science, Shaanxi Normal University

Received:2011-11-01 Online:2013-09-30 Published:2023-02-22
About author:HOU Yi-hui(1981-), female, native of Licounty, Hebei, a lecturer of Shaanxi Normal University, Ph.D., engages in topology on lattices.
Supported by:
Supported by the NNSF of China(11001158)； Supported by the Scientific Research Start-up Costs for Doctor Graduates Shaanxi Normal University

摘要/Abstract

摘要： The free object generated by a set in the category of complete L-fuzzy posets is discussed in this paper. The construction of a free complete L-fuzzy poset generated by a set is obtained, which is a generalization of the free complete lattice generated by a set.

关键词: L-fuzzy poset, complete L-fuzzy poset, category, free object

Abstract: The free object generated by a set in the category of complete L-fuzzy posets is discussed in this paper. The construction of a free complete L-fuzzy poset generated by a set is obtained, which is a generalization of the free complete lattice generated by a set.

Key words: L-fuzzy poset, complete L-fuzzy poset, category, free object

中图分类号:

O153.1

周异辉. 完备L-模糊偏序集范畴中的自由对象[J]. 数学季刊, 2013, 28(3): 331-337.

ZHOU Yi-hui. The Free Abjects in the Category of Complete L-fuzzy Posets[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(3): 331-337.

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