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Generalized Multi-fuzzy Soft Set and Its Application in Decision Making

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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, proposed by Molodtsov, can be used as a general mathematical tool for dealing with uncertainty. By introducing a generalization parameter which itself is multi-fuzzy, we define generalized multi-fuzzy soft sets which are an extension to the multi-fuzzy soft sets. Some operations on a generalized multi-fuzzy soft set are investigated, such as complement operation, union and intersection operations, “AND” and “OR” operations. Finally, application of generalized multi-fuzzy soft sets in decision making problems has been shown.

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Acknowledgments

The authors would like to thank the anonymous referees for their valuable comments and suggestions. This work is supported by the National Natural Science Foundation of China (No. 71261022) and the Fundamental Research Funds for the Central Universities of Northwest University for Nationalities (No. 31920130003).

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Authors and Affiliations

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

    Hai-dong Zhang, Shi-long Liao & Wei-yuan Ma

Authors
  1. Hai-dong Zhang
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  2. Shi-long Liao
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  3. Wei-yuan Ma
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Corresponding author

Correspondence to Hai-dong Zhang .

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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., Liao, Sl., Ma, Wy. (2016). Generalized Multi-fuzzy Soft Set and Its Application in Decision Making. 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_3

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  • DOI: https://doi.org/10.1007/978-3-319-19105-8_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-19104-1

  • Online ISBN: 978-3-319-19105-8

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