On a generalization of Goguen's category Set(L)

Sergey A. Solovyov

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On a generalization of Goguen's category Set(L)

机译：关于Goguen类别集（L）的推广

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摘要

The paper considers a category which generalizes Goguen's category Set(L) of L-fuzzy sets with a fixed basis L. We show the necessary and sufficient conditions for the generalized category to be a quasitopos and consider additional inner structure supplied by the latter property.

机译：本文考虑了一个类别，该类别以固定的基础L推广了L-模糊集的Goguen的类别集（L）。我们显示了将广义的类别设为准拟的充要条件，并考虑了后者性质所提供的其他内部结构。

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来源
《Fuzzy sets and systems》 |2007年第4期|p.367-385|共19页
作者
Sergey A. Solovyov;
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作者单位

Department of Mathematics, University of Latvia, 19 Raina Blvd., Riga LV-1586, Latvia;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类模糊数学;
关键词
lattice-valued set; topological category; partial morphism; quasitopos;

机译：格值集拓扑类别部分态拟拟;

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机译：集值概括的三类，从模糊集到区间值和Atanassov直觉模糊集
2. Representation theory of Goguen categories [J] . Michael Winter Fuzzy sets and systems . 2003,第1期

机译：Goguen类别的表示理论
3. SET-VALUED GENERALIZATIONS OF BAIRES CATEGORY THEOREM [J] . Urbaniec P. Journal of Mathematical Analysis and Applications . 1995,第3期

机译：Baires类别定理的设定值广义
4. Time-Dependent Contact Structures in Goguen Categories [C] . Michael Winter International Seminar on Relational Methods in Computer Science . 2006

机译：Goguen类别中的时间依赖性联系结构
5. Multiple categories: Effects of category salience on generalization of positive intergroup contact [D] . Desforges, Donna Murrell. 1991

机译：多个类别：类别Parience对正交组合的泛化的影响
6. Occipitotemporal Category Representations Are Sensitive to Abstract Category Boundaries Defined by Generalization Demands [O] . Kurt Braunlich, Zhiya Liu, Carol A. Seger 2017

机译：时态类别表示对广义需求定义的抽象类别边界敏感
7. Fuzzy functions and an extension of the category L-Top of Chang-Goguen L-topological spaces [O] . Sostak, Alexander P. 2002

机译：模糊函数和Chang-Goguen类L-Top的扩展 L-拓扑空间
8. The Effects of Category Generalizations and Instance Similarity on Schema Abstraction [R] . Elio, R., Anderson, J. R. 1980

机译：范畴推广和实例相似度对图式抽象的影响

On a generalization of Goguen's category Set(L)

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