Table 8 The aggregated Values of the alternatives using Existing Operators.

\({\mathbf{\mathcal{Q}}}_{1}\)

\(\left( {\begin{array}{*{20}c} {0.605, 0.784, } \\ {0.698} \\ \end{array} } \right)\)

\(\left( {\begin{array}{*{20}c} {0.437, 0.784, } \\ {0.384} \\ \end{array} } \right)\)

\(\left( {\begin{array}{*{20}c} {0.566, 0.174, } \\ {0.318} \\ \end{array} } \right)\)

\(\left( {\begin{array}{*{20}c} {0.516, 0.174, } \\ {0.472} \\ \end{array} } \right)\)

\({\mathbf{\mathcal{Q}}}_{2}\)

\(\left( {\begin{array}{*{20}c} {0.336, 0.625,} \\ { 0.686} \\ \end{array} } \right)\)

\(\left( {\begin{array}{*{20}c} {0.738, 0.625,} \\ { 0.462} \\ \end{array} } \right)\)

\(\left( {\begin{array}{*{20}c} {0.476, 0.269,} \\ { 0.179} \\ \end{array} } \right)\)

\(\left( {\begin{array}{*{20}c} {0.458, 0.269,} \\ { 0.189} \\ \end{array} } \right)\)

\({\mathbf{\mathcal{Q}}}_{3}\)

\(\left( {\begin{array}{*{20}c} {0.563, 0.695, } \\ {0.687} \\ \end{array} } \right)\)

\(\left( {\begin{array}{*{20}c} {0.589, 0.695, } \\ {0.436} \\ \end{array} } \right)\)

\(\left( {\begin{array}{*{20}c} {0.453, 0.275, } \\ {0.436} \\ \end{array} } \right)\)

\(\left( {\begin{array}{*{20}c} {0.419, 0.275, } \\ {0.471} \\ \end{array} } \right)\)

\({\mathbf{\mathcal{Q}}}_{4}\)

\(\left( {\begin{array}{*{20}c} {0.504, 0.829 } \\ {0.647} \\ \end{array} } \right)\)

\(\left( {\begin{array}{*{20}c} {0.533, 0.829, } \\ {0.489} \\ \end{array} } \right)\)

\(\left( {\begin{array}{*{20}c} {0.683, 0.338, } \\ {0.419} \\ \end{array} } \right)\)

\(\left( {\begin{array}{*{20}c} {0.546, 0.338,} \\ { 0.481} \\ \end{array} } \right)\)

\({\mathbf{\mathcal{Q}}}_{1}\)

\(\left( {\begin{array}{*{20}c} {\left( {0.606, 0.679} \right), \left( {0.256, 0.263} \right),} \\ {\left( {0.298, 0.351} \right)} \\ \end{array} } \right)\)

\(\left( {\begin{array}{*{20}c} {\left( {0.508, 0.374} \right), \left( {0.159, 0.163} \right),} \\ { \left( {0.249, 0.205} \right)} \\ \end{array} } \right)\)

\({\mathbf{\mathcal{Q}}}_{2}\)

\(\left( {\begin{array}{*{20}c} {\left( {0.319, 0.420} \right), \left( {0.380, 0.258} \right), } \\ {\left( {0.314, 0.425} \right)} \\ \end{array} } \right)\)

\(\left( {\begin{array}{*{20}c} {\left( {0.454, 0.391} \right), \left( {0.264, 0.239} \right), } \\ {\left( {0.180, 0.192} \right)} \\ \end{array} } \right)\)

\({\mathbf{\mathcal{Q}}}_{3}\)

\(\left( {\begin{array}{*{20}c} {\left( {0.557, 0.712} \right), \left( {0.304, 0.338} \right),} \\ { \left( {0.313, 0.309} \right)} \\ \end{array} } \right)\)

\(\left( {\begin{array}{*{20}c} {\left( {0.405, 0.496} \right), \left( {0.256, 0.395} \right), } \\ {\left( {0.449,0.461} \right)} \\ \end{array} } \right)\)

\({\mathbf{\mathcal{Q}}}_{4}\)

\(\left( {\begin{array}{*{20}c} {\left( {0.501, 0.614} \right), \left( {0.163, 0.516} \right), } \\ {\left( {0.338, 0.256} \right)} \\ \end{array} } \right)\)

\(\left( {\begin{array}{*{20}c} {\left( {0.524, 0.413} \right), \left( {0.323, 0.344} \right), } \\ {\left( {0.442, 0.381} \right)} \\ \end{array} } \right)\)