Table 1 D-SF Group Decision Matrix.

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

\(\Delta ^{1}\)

\(\gimel _{1}\)

\(\gimel _{2}\)

\(\gimel _{3}\)

\(\gimel _{4}\)

\(\Omega _{1}\)

\(\left( 0.2,0.5,0.3;0.8\right)\)

\(\left( 0.5,0.4,0.3;0.2\right)\)

\(\left( 0.4,0.6,0.2;0.1\right)\)

\(\left( 0.1,0.7,0.3;0.5\right)\)

\(\Omega _{2}\)

\(\left( 0.2,0.5,0.4;0.7\right)\)

\(\left( 0.5,0.4,0.4;0.4\right)\)

\(\left( 0.4,0.6,0.5;0.3\right)\)

\(\left( 0.1,0.7,0.5;0.5\right)\)

\(\Omega _{3}\)

\(\left( 0.2,0.5,0.5;0.6\right)\)

\(\left( 0.5,0.4,0.5;0.6\right)\)

\(\left( 0.4,0.6,0.3;0.5\right)\)

\(\left( 0.1,0.7,0.7;0.1\right)\)

\(\Omega _{4}\)

\(\left( 0.2,0.5,0.6;0.5\right)\)

\(\left( 0.5,0.4,0.6;0.8\right)\)

\(\left( 0.4,0.6,0.4;0.7\right)\)

\(\left( 0.1,0.7,0.2;0.3\right)\)

\(\Delta ^{2}\)

\(\gimel _{1}\)

\(\gimel _{2}\)

\(\gimel _{3}\)

\(\gimel _{4}\)

\(\Omega _{1}\)

\(\left( 0.3,0.5,0.3;0.2\right)\)

\(\left( 0.1,0.4,0.3;0.3\right)\)

\(\left( 0.6,0.6,0.2;0.3\right)\)

\(\left( 0.2,0.7,0.3;0.2\right)\)

\(\Omega _{2}\)

\(\left( 0.3,0.5,0.4;0.1\right)\)

\(\left( 0.1,0.4,0.4;0.2\right)\)

\(\left( 0.6,0.5,0.5;0.4\right)\)

\(\left( 0.3,0.7,0.5;0.3\right)\)

\(\Omega _{3}\)

\(\left( 0.3,0.5,0.5;0.4\right)\)

\(\left( 0.1,0.4,0.5;0.5\right)\)

\(\left( 0.6,0.5,0.3;0.7\right)\)

\(\left( 0.4,0.7,0.5;0.3\right)\)

\(\Omega _{4}\)

\(\left( 0.3,0.5,0.6;0.5\right)\)

\(\left( 0.1,0.4,0.6;0.1\right)\)

\(\left( 0.6,0.4,0.4;0.6\right)\)

\(\left( 0.1,0.7,0.2;0.7\right)\)

\(\Delta ^{3}\)

\(\gimel _{1}\)

\(\gimel _{2}\)

\(\gimel _{3}\)

\(\gimel _{4}\)

\(\Omega _{1}\)

\(\left( 0.2,0.4,0.3;0.8\right)\)

\(\left( 0.5,0.3,0.3;0.1\right)\)

\(\left( 0.5,0.6,0.2;0.2\right)\)

\(\left( 0.2,0.7,0.3;0.5\right)\)

\(\Omega _{2}\)

\(\left( 0.2,0.5,0.4;0.4\right)\)

\(\left( 0.3,0.4,0.4;0.4\right)\)

\(\left( 0.4,0.2,0.5;0.4\right)\)

\(\left( 0.1,0.4,0.5;0.4\right)\)

\(\Omega _{3}\)

\(\left( 0.2,0.4,0.5;0.4\right)\)

\(\left( 0.2,0.4,0.5;0.1\right)\)

\(\left( 0.5,0.6,0.3;0.4\right)\)

\(\left( 0.2,0.7,0.5;0.1\right)\)

\(\Omega _{4}\)

\(\left( 0.2,0.5,0.6;0.5\right)\)

\(\left( 0.5,0.4,0.3;0.8\right)\)

\(\left( 0.4,0.3,0.4;0.1\right)\)

\(\left( 0.3,0.7,0.2;0.2\right)\)