Table 9 Decision table with \(\beta =0.90, l=1\).

From: Soft ordered double quantitative approximations based three-way decisions and their applications

\(\delta _{k}\)

\(\sum \limits _{k=1}^{\left| D\right| }\left( \underline{S_{k}^{\Diamond }}\right) _{{\mathcal {D}} ominan\left( {\mathcal {T}}_{k}^{*},C\right) ^{+}}^{\beta \wedge l\left( o\right) }-\sum \limits _{k=1}^{\left| D\right| }\left( \underline{S_{k}^{\Diamond }}\right) _{{\mathcal {D}}ominan\left( {\mathcal {T}}_{k}^{*},C\right) ^{-}}^{\beta \wedge l\left( o\right) }\)

\(\delta _{1}\)

\(\left\{ b_{7},b_{9},b_{10}\right\} \)

\(\delta _{2}\)

\(\left\{ b_{7}\right\} \)

\(\delta _{3}\)

\(\left\{ b_{7},b_{9}\right\} \)

\(\delta _{4}\)

\(\left\{ b_{7}\right\} \)