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Dual Hesitant Fuzzy Soft Set and Its Properties

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Fuzzy Systems & Operations Research and Management

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 367))

Abstract

The soft set theory, originally proposed by Molodtsov, can be used as a general mathematical tool for dealing with uncertainty. By combining the dual hesitant fuzzy set and soft set models, we introduce the concept of dual hesitant fuzzy soft sets. Further some operations on the dual hesitant fuzzy soft sets are investigated, such as complement operation, “AND” and “OR” operations, sum and product operations.

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Author information

Authors and Affiliations

  1. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, China

    Hai-dong Zhang & Lan Shu

  2. School of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou, 730030, China

    Hai-dong Zhang

Authors
  1. Hai-dong Zhang
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  2. Lan Shu
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Corresponding author

Correspondence to Hai-dong Zhang .

Editor information

Editors and Affiliations

  1. Guangzhou University, Guangzhou, China

    Bing-Yuan Cao

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

    Zeng-Liang Liu

  3. Higher Education Mega Center, Guangzhou University, Guangzhou, China

    Yu-Bin Zhong

  4. Zhuhai Campus, Beijing Normal University, Zhuhai, China

    Hong-Hai Mi

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© 2016 Springer International Publishing Switzerland

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Zhang, Hd., Shu, L. (2016). Dual Hesitant Fuzzy Soft Set and Its Properties. In: Cao, BY., Liu, ZL., Zhong, YB., Mi, HH. (eds) Fuzzy Systems & Operations Research and Management. Advances in Intelligent Systems and Computing, vol 367. Springer, Cham. https://doi.org/10.1007/978-3-319-19105-8_17

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  • DOI: https://doi.org/10.1007/978-3-319-19105-8_17

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-19104-1

  • Online ISBN: 978-3-319-19105-8

  • eBook Packages: EngineeringEngineering (R0)

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