Table 4 Max–min–max composition of GDioFRs \({\mathcal {Q}}\) and \({\mathcal {R}}\), denoted by \({\mathcal {R}}\circ {\mathcal {Q}}\), and defined in Equation  3.13.

From: Various distance between generalized Diophantine fuzzy sets using multiple criteria decision making and their real life applications

\({\mathcal {R}}\circ {\mathcal {Q}}\)

College-1

College-2

College-3

College-4

College-5

Types

\(S_{1}\)

0.3509

0.3852

0.3756

0.3756

0.3756

\(GDioFS_{(2,2)}\)

0.4426

0.4514

0.4418

0.4418

0.4418

\(GDioFS_{(2,3)}\)

0.2918

0.3561

0.3462

0.3462

0.3462

\(GDioFS_{(3,3)}\)

\(S_{2}\)

0.3245

0.3910

0.3973

0.3345

0.4116

\(GDioFS_{(2,2)}\)

0.3969

0.4833

0.4839

0.4227

0.4877

\(GDioFS_{(2,3)}\)

0.2873

0.3295

0.3470

0.2803

0.3749

\(GDioFS_{(3,3)}\)

\(S_{3}\)

0.2814

0.2814

0.2616

0.2616

0.2867

\(GDioFS_{(2,2)}\)

0.3714

0.3714

0.3495

0.3495

0.3599

\(GDioFS_{(2,3)}\)

0.2204

0.2204

0.2015

0.2015

0.2461

\(GDioFS_{(3,3)}\)

\(S_{4}\)

0.2888

0.5492

0.5493

0.3437

0.4565

\(GDioFS_{(2,2)}\)

0.3589

0.6191

0.6193

0.4434

0.5359

\(GDioFS_{(2,3)}\)

0.2512

0.5084

0.5048

0.2638

0.4153

\(GDioFS_{(3,3)}\)

\(S_{5}\)

0.3600

0.3875

0.3939

0.3467

0.4273

\(GDioFS_{(2,2)}\)

0.4448

0.4717

0.4735

0.4267

0.4843

\(GDioFS_{(2,3)}\)

0.3117

0.3408

0.3530

0.3034

0.4055

\(GDioFS_{(3,3)}\)