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Information Systems Design and Intelligent Applications pp 834–842Cite as

Fuzzy Equivalence on Standard and Rough Neutrosophic Sets and Applications to Clustering Analysis

Part of the Advances in Intelligent Systems and Computing book series (AISC,volume 672)

Abstract

In this paper, we propose the concept of fuzzy equivalence on standard neutrosophic sets and rough standard neutrosophic sets. We also provide some formulas for fuzzy equivalence on standard neutrosophic sets and rough standard neutrosophic sets. We also apply these formulas for cluster analysis. Numerical examples are illustrated.

Keywords

  • Fuzzy equivalence
  • Neutrosophic set
  • Rough set
  • Rough neutrosophic set
  • Fuzzy clustering

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Acknowledgements

This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 102.01-2017.02.

Author information

Authors and Affiliations

  1. Vietnam National University of Agriculture, Hanoi, Vietnam

    Nguyen Xuan Thao

  2. VNU University of Science, Vietnam National University, Hanoi, Vietnam

    Le Hoang Son

  3. Institute of Mathematics, Hanoi, Vietnam

    Bui Cong Cuong

  4. University of Southern Queensland, Springfield Campus, 4300, Queensland, Australia

    Mumtaz Ali

  5. Thai Nguyen University of Education, Thai Nguyen, Vietnam

    Luong Hong Lan

Authors
  1. Nguyen Xuan Thao
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  2. Le Hoang Son
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  3. Bui Cong Cuong
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  4. Mumtaz Ali
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  5. Luong Hong Lan
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Corresponding author

Correspondence to Nguyen Xuan Thao .

Editor information

Editors and Affiliations

  1. Department of Electronics and Communication Engineering, Shri Ramswaroop Memorial Group of Professional Colleges, Lucknow, Uttar Pradesh, India

    Prof. Dr. Vikrant Bhateja

  2. Technology and Engineering Division, Duy Tan University, Da Nang, Vietnam

    Dr. Bao Le Nguyen

  3. Duy Tan University, Da Nang, Vietnam

    Dr. Nhu Gia Nguyen

  4. Department of CSE, PVP Siddhartha Institute of Technology, Vijayawada, Andhra Pradesh, India

    Dr. Suresh Chandra Satapathy

  5. Faculty of Information Technology , Hai Phong University, Hai Phong, Vietnam

    Dr. Dac-Nhuong Le

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Cite this paper

Thao, N.X., Son, L.H., Cuong, B.C., Ali, M., Lan, L.H. (2018). Fuzzy Equivalence on Standard and Rough Neutrosophic Sets and Applications to Clustering Analysis. In: Bhateja, V., Nguyen, B., Nguyen, N., Satapathy, S., Le, DN. (eds) Information Systems Design and Intelligent Applications. Advances in Intelligent Systems and Computing, vol 672. Springer, Singapore. https://doi.org/10.1007/978-981-10-7512-4_82

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  • DOI: https://doi.org/10.1007/978-981-10-7512-4_82

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-7511-7

  • Online ISBN: 978-981-10-7512-4

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