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Note on fuzzy soft sets and fuzzy soft lattices

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas volume 113, pages 41–48 (2019)Cite this article

Abstract

In this note, we point out that several assertions (Proposition 7, Lemmas 20, 21 and Theorems 7, 15) in [Y. Shao and K. Qin, Fuzzy soft sets and fuzzy soft lattices, Int. J. Comput. Intell. Sys. 5 (2012), 1135–1147] are not true in general. Appropriate counterexamples are given. Further their modified versions are presented.

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References

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Acknowledgements

C. Park was supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education, Science and Technology (NRF-2017R1D1A1B04032937).

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Authors and Affiliations

  1. Departmant of Mathematics and Statistics, Riphah International University, Hajj Complex I-14, Islamabad, Pakistan

    Noor Rehman & Abbas Ali

  2. Department of Mathematics, Research Institute of Natural Sciences, Hanyang University, Seoul, 04763, Republic of Korea

    Choonkil Park

Authors
  1. Noor Rehman
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  2. Abbas Ali
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  3. Choonkil Park
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Correspondence to Choonkil Park.

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Rehman, N., Ali, A. & Park, C. Note on fuzzy soft sets and fuzzy soft lattices. RACSAM 113, 41–48 (2019). https://doi.org/10.1007/s13398-017-0450-3

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  • DOI: https://doi.org/10.1007/s13398-017-0450-3

Keywords

  • Soft set
  • Fuzzy soft set
  • Lattice
  • Fuzzy soft latice

Mathematics Subject Classification

  • Primary 06D72
  • 03E72
  • 94D05