… Decision-theoretic rough sets (DTRS), … Decision-Theoretic Rough Sets based on Evidence
Theory (GDTRSET) is put forward in this paper. The proposed GDTRSET extends the set of …

… first, we review the definitions of attribute reduction in rough set theory, generalized attribute
… Although the property of ranking is non-monotonic, we are still able to design a heuristic …

… constant in order, \(\mu _N\) is non-monotonic decreasing with the increase in \(\mu _M(\…
\) is constant, \(\nu _N\) is non-monotonic decreasing with the increase in \(\nu _M(\lambda _…

… rough sets (DTRSs), three-way decisions (TWDs) provide a risk decision method for
solving multi-attribute … We combine covering-based q-rung orthopair fuzzy rough set (Cq-ROFRS) …

… In rough set theory, attribute reductions (ARs) are key data preprocessing methods [6, 7], and
they devote to searching for the most effective attributes to reduce … and non-monotonic AR …

… Decision-theoretic rough sets (DTRSs) are an excellent tool to cope with 3WDs under risks
… Then, f ( Q R ) E L γ ⋅ | [ z ] is non-monotonic decreasing with respect to f ( Q R τ ⋅ ρ ) and f ( …

… for the analysis of monotonic (and also non-monotonic) data. In this contribution, we recall
… probability stimulated development of the decision-theoretic rough set model (DTRSM) [99, …

… of set operators, two specific bi-directional neighborhood relations as well as optimistic
and pessimistic rough set … Finally, in the attribute selection process, we prove non-monotonic …

… -way approximate attribute reduction … rough set model, ie, decision-theoretic rough sets
[21]. It provides a unified framework for the theory of rough sets, from which the classic rough set …

… -cost attribute reduction in the decision-theoretic rough set model … of attribute reduction
and provided a heuristic attribute … However, some attribute reduction measures are non-monotonic…