Note on fuzzy soft sets and fuzzy soft lattices
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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.
KeywordsSoft set Fuzzy soft set Lattice Fuzzy soft latice
Mathematics Subject ClassificationPrimary 06D72 03E72 94D05
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).