Fuzzy Sets in Categories of Sets with Similarity Relations

机译：具有相似关系的集合类别中的模糊集合

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Several examples of categories K of sets with similarity relations are investigated. Objects of K are pairs (A, δ), where A is a set and δ is a similarity relation on A with values in an MV-algebra Ω. A fuzzy set t in (A, δ) in a category K (in symbol t (is contained in)_K (A, δ)) is then defined as a morphism t : (A, δ) → (Ω, reversible) in a category K. Some properties of these fuzzy sets are investigated in some special categories K .

机译：研究了具有相似关系的集合的类别K的几个示例。 K的对象是对（A，δ），其中A是集合，δ是A与MV代数Ω中的值的相似关系。然后将类别K中的（A，δ）中的模糊集合t（以符号t（包含在）_K（A，δ）中）定义为态态t：（A，δ）→（Ω，可逆）在某些特殊类别K中研究了这些模糊集的某些属性。

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来源
《Computational Intelligence, Theory and Applications; Advances in Soft Computing》|2006年|677-682|共6页
会议地点 Dortmund(DE)
作者
Jiri Mockor;
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作者单位

University of Ostrava Institute for Research and Applications of Fuzzy Modeling 30, dubna 22, 701 03 Ostrava 1 Czech Republic;

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会议组织
原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;
关键词
fuzzy sets; sets with similarity relation; categories of sets with similarity relations;

机译：模糊集具有相似关系的集合；具有相似关系的集的类别;

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1. Fuzzy sets and cut systems in a category of sets with similarity relations [J] . Jiří Močkoř Soft Computing - A Fusion of Foundations, Methodologies and Applications . 2012,第1期

机译：具有相似关系的集合类别中的模糊集合和割系统
2. Fuzzy sets and cut systems in a category of sets with similarity relations [J] . Mo?ko? J. Soft computing: A fusion of foundations, methodologies and applications . 2012,第1期

机译：具有相似关系的集合类别中的模糊集合和割系统
3. Topological structures of L-fuzzy rough sets and similarity sets of L-fuzzy relations [J] . Wang Chun Yong 高分子論文集 . 2017,第APRa期

机译：L-模糊粗糙集的拓扑结构和L-模糊关系的相似集
4. Fuzzy Sets in Categories of Sets with Similarity Relations [C] . Jiri Mockor Computational Intelligence, Theory and Applications; Advances in Soft Computing . 2006

机译：具有相似关系的集合类别中的模糊集合
5. Resolving quasi-synonym relationships in automatic thesaurus construction using fuzzy rough sets and an inverse term frequency similarity function. [D] . Davault, Julius M., III. 2009

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6. m-Polar Fuzzy Sets: An Extension of Bipolar Fuzzy Sets [O] . Juanjuan Chen, Shenggang Li, Shengquan Ma, -1

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7. Erratum to: Intuitionistic and interval-valued intutionistic fuzzy preference relations and their measures of similarity for the evaluation of agreement within a group and Some similarity measures of intuitionistic fuzzy sets and their applications to multiple attribute decision making [O] . Zeshui Xu 2012

机译：误解：直觉和间隔的完全模糊偏好关系及其在一组内协议评估的相似性措施，以及一种直觉模糊集的相似措施及其对多个属性决策的应用

Fuzzy Sets in Categories of Sets with Similarity Relations

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