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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Ali, M.I., Feng, F., Liu, X., Min, W.K., Shabir, M.: On some new operations in soft set theory. Comput. Math. Appl. 57, 1547–1553 (2009)
Qin, K., Hong, Z.: On soft equality. J. Comput. Appl. Math. 234, 1347–1355 (2010)
Shao, Y., Qin, K.: Fuzzy soft sets and fuzzy soft lattices. Int. J. Comput. Int. Sys. 5, 1135–1147 (2012)
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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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
- Soft set
- Fuzzy soft set
- Fuzzy soft latice
Mathematics Subject Classification
- Primary 06D72