Table 8 PIS and NIS determined for the D-SF matrix.

From: Enhanced decision technique for optimized crude oil pretreatment under disc spherical fuzzy Aczel Alsina aggregation information

\(\Delta ^{1}\)

\(\gimel _{1}\)

\(\gimel _{2}\)

\(\gimel _{3}\)

\(\gimel _{4}\)

\(\Omega _{1}\)

\(\left( 0.239,0.464,0.300;0.503\right)\)

\(\left( 0.421,0.363,0.300;0.182\right)\)

\(\left( 0.511,0.600,0.200;0.182\right)\)

\(\left( 0.174,0.700,0.300;0.368\right)\)

\(\Omega _{2}\)

\(\left( 0.239,0.500,0.400;0.303\right)\)

\(\left( 0.349,0.400,0.400;0.317\right)\)

\(\left( 0.483,0.391,0.500;0.364\right)\)

\(\left( 0.194,0.581,0.500;0.391\right)\)

\(\Omega _{3}\)

\(\left( 0.239,0.464,0.500;0.457\right)\)

\(\left( 0.326,0.400,0.500;0.310\right)\)

\(\left( 0.511,0.564,0.300;0.519\right)\)

\(\left( 0.269,0.700,0.559;0.144\right)\)

\(\Omega _{4}\)

\(\left( 0.239,0.500,0.600;0.500\right)\)

\(\left( 0.421,0.400,0.476;0.399\right)\)

\(\left( 0.483,0.416,0.400;0.347\right)\)

\(\left( 0.194,0.700,0.200;0.348\right)\)

\(\nabla ^{+}\)

\(\left( 0.239,0.464,0.300;0.503\right)\)

\(\left( 0.421,0.363,0.300;0.399\right)\)

\(\left( 0.511,0.391,0.200;0.519\right)\)

\(\left( 0.269,0.581,0.200;0.391\right)\)

\(\nabla ^{-}\)

\(\left( 0.239,0.464,0.600;0.303\right)\)

\(\left( 0.326,0.363,0.500;0.182\right)\)

\(\left( 0.483,0.391,0.500;0.182\right)\)

\(\left( 0.174,0.581,0.559;0.144\right)\)