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The Category of the 4-Valued Fuzzy Sets

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Advances in Electronic Commerce, Web Application and Communication

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 148))

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Abstract

This paper considers the connection of the 4-valued fuzzy sets with topos theory. The authors constructed the category QFuz of the 4-valued fuzzy sets. The category QFuz has a middle object and all topos properties except Subobject Classifier, consequently forms a weak topos.

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Author information

Authors and Affiliations

  1. School of Mathematics and Statistics, Henan University of Science and Technology, Xiyuanroad 48, 471003, Luoyang, China

    Xiaoshen Li

  2. Department of Electrical Engineering, Xuchang Technical and Economical College, Jiansheroad S.S., 461500, Changge, China

    Hongjian Zhang

  3. School of Electronic and Information Engineering, Dalian University of Technology, Linggongroad 2, 116024, Dalian, China

    Xuehai Yuan

Authors
  1. Xiaoshen Li
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  2. Hongjian Zhang
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  3. Xuehai Yuan
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Corresponding author

Correspondence to Xiaoshen Li .

Editor information

Editors and Affiliations

  1. Researcher Association, Wuhan Section, International Science & Education, Special No.1, Jiangxia Road of Wuhan, Wuhan, China, People's Republic

    David Jin

  2. Researcher Association, Guangzhou Section, International Science & Education, Jinheng Road, Jinbi Garden 85-1102 144, Guang Zhou, China, People's Republic

    Sally Lin

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Li, X., Zhang, H., Yuan, X. (2012). The Category of the 4-Valued Fuzzy Sets. In: Jin, D., Lin, S. (eds) Advances in Electronic Commerce, Web Application and Communication. Advances in Intelligent and Soft Computing, vol 148. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28655-1_78

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  • DOI: https://doi.org/10.1007/978-3-642-28655-1_78

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28654-4

  • Online ISBN: 978-3-642-28655-1

  • eBook Packages: EngineeringEngineering (R0)

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