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On Fuzzy Soft Relation

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International Conference on Oriental Thinking and Fuzzy Logic

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 443))

Abstract

Soft set theory, proposed by Molodtsov, has been regarded as a general mathematical tool for dealing with uncertainties. Research on soft set has received much attention in recent years. In this paper, we first give the notions of soft relation and fuzzy soft relation. Furthermore, the concepts of projection and section of soft relation are introduced and in the meantime, some of their properties are studied. Moreover, we define fuzzy soft linear transformation and get some conclusions.

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Acknowledgments

The authors are grateful to the referees and the editor of this journal for their valuable comments and suggestions.

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Authors and Affiliations

  1. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, People’s Republic of China

    Yu-hong Zhang & Zun-quan Xia

  2. Department of Basic Education, City Institute, Dalian University of Technology, Dalian, 116600, People’s Republic of China

    Yu-hong Zhang

  3. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, 116024, People’s Republic of China

    Xue-hai Yuan

Authors
  1. Yu-hong Zhang
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  2. Xue-hai Yuan
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  3. Zun-quan Xia
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Corresponding author

Correspondence to Yu-hong Zhang .

Editor information

Editors and Affiliations

  1. Guangzhou Vocational Collg. Sci. & Tech., Guangzhou, China

    Bing-Yuan Cao

  2. West Texas A&M University, Canyon,TX,USA, Liaoning Technical University, Fuxin, China

    Pei-Zhuang Wang

  3. Foreign Affairs Office, National Defense University, Beijing, China

    Zeng-Liang Liu

  4. School of Math and Info. Science, Guangzhou University, Guangzhou, China

    Yu-Bin Zhong

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Zhang, Yh., Yuan, Xh., Xia, Zq. (2016). On Fuzzy Soft Relation. In: Cao, BY., Wang, PZ., Liu, ZL., Zhong, YB. (eds) International Conference on Oriental Thinking and Fuzzy Logic. Advances in Intelligent Systems and Computing, vol 443. Springer, Cham. https://doi.org/10.1007/978-3-319-30874-6_12

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  • DOI: https://doi.org/10.1007/978-3-319-30874-6_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-30873-9

  • Online ISBN: 978-3-319-30874-6

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