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Table 16 Changes to the criteria weights for sensitivity analysis

From: Application of fuzzy multicriteria decision-making model in selecting pandemic hospital site

Case no

Criteria weight changes

Overall scores \((\mathrm{CCr})\)

 

Ranking

\(\mathrm{A}1\)

\(\mathrm{A}2\)

\(\mathrm{A}3\)

\(\mathrm{A}4\)

Case 1

\({w}_{c1-c7}=(\mathrm{0.1,0.1,0.3})\)

0.4294

0.4269

0.4306

0.4312

\(A4>A3>A1>A2\)

Case 2

\({w}_{c1-c7}=(\mathrm{0.1,0.3,0.5})\)

0.4863

0.4924

0.4798

0.4712

\(A2>A1>A3>A4\)

Case 3

\({w}_{c1-c7}=(\mathrm{0.3,0.5,0.7})\)

0.4909

0.4966

0.4852

0.4758

\(A2>A1>A3>A4\)

Case 4

\({w}_{c1-c7}=(\mathrm{0.5,0.7,0.9})\)

0.4942

0.4997

0.4889

0.4787

\(A2>A1>A3>A4\)

Case 5

\({w}_{c1-c7}=(\mathrm{0.7,0.9,1.0})\)

0.5116

0.5204

0.5047

0.4904

\(A2>A1>A3>A4\)

Case 6

\({w}_{c1}=\left(\mathrm{0.7,0.9,1.0}\right),\)

\({w}_{c2-c7}=(\mathrm{0.1,0.1,0.3})\)

0.4617

0.4573

0.4447

0.4415

\(A1>A2>A3>A4\)

Case 7

\({w}_{c2}=\left(\mathrm{0.7,0.9,1.0}\right),\)

\({w}_{c1, c3-c7}=(\mathrm{0.1,0.1,0.3})\)

0.4615

0.4448

0.4703

0.4609

\(A3>A1>A4>A2\)

Case 8

\({w}_{c3}=\left(\mathrm{0.7,0.9,1.0}\right),\)

\({w}_{c1-2, c4-c7}=(\mathrm{0.1,0.1,0.3})\)

0.4405

0.4378

0.4426

0.4431

\(A4>A3>A1>A2\)

Case 9

\({w}_{c4}=\left(\mathrm{0.7,0.9,1.0}\right),\)

\({w}_{c1-c3,c5- c7}=(\mathrm{0.1,0.1,0.3})\)

0.4479

0.4576

0.4472

0.4444

\(A2>A1>A3>A4\)

Case 10

\({w}_{c5}=\left(\mathrm{0.7,0.9,1.0}\right),\)

\({w}_{c1-4, c6-7}=(\mathrm{0.1,0.1,0.3})\)

0.4521

0.4576

0.4472

0.4444

\(A2>A1>A3>A4\)

Case 11

\({w}_{c6}=\left(\mathrm{0.7,0.9,1.0}\right),\)

\({w}_{c1-5, c7}=(\mathrm{0.1,0.1,0.3})\)

0.4615

0.4535

0.4703

0.4740

\(A4>A3>A2>A1\)

Case 12

\({w}_{c7}=\left(\mathrm{0.7,0.9,1.0}\right),\)

\({w}_{c1-6}=(\mathrm{0.1,0.1,0.3})\)

0.4479

0.4573

0.4472

0.4415

\(A2>A1>A3>A4\)