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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)


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.


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

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

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Correspondence to Nguyen Xuan Thao .

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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.

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