In this note, we point out that the transfer function for computing the fuzzy preference degree in Mandal and Ranadive (Soft Comput, 2018. https://doi.org/10.1007/s00500-018-3411-7) for the construction of upward/downward fuzzy relations is not additive consistent. Appropriate counterexample is given. Further, their modified versions are presented.
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Communicated by V. Loia.
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Ali, A., Rehman, N. & Hila, K. Note on “Fuzzy multi-granulation decision-theoretic rough sets based on fuzzy preference relation”. Soft Comput (2020) doi:10.1007/s00500-020-04677-2
- Fuzzy preference relation
- Upward fuzzy preference relation
- Ordinal decision system