Mathematical Problems in Engineering / 2019 / Article / Tab 1

Research Article

A Novel Multicriteria Decision-Making Method Based on Distance, Similarity, and Correlation: DSC TOPSIS

Table 1

Implementation of the proposed method.

CasesStructure of the Performance Matrix Proposed Method Formulas
Column-
Standardized
Row-
Standardized
WeightingSq_EucCorr_sCos_sCos_dCos_dProposed
D

Case 1UsedUnusedUnusedEquations (28)-(29)Equations (30)-(31)Equations (32)-(33)Equations (34)-(35)Equations (36)-(37)Equations (26)-(27)

Case 2UsedUnusedUsedEquations
(28)-(29)
Equations
(30)-(31)
Equations
(32)-(33)
Equations
(34)-(35)
Equations
(36)-(37)
Equations (26)-(27)

Case 3UnusedUnusedEquations (28)-(29)Equations (51)-(52)Equations (51)-(52)Equations (53)-(54)Equations (53)-(54)Equations (49)-(50)

Case 4UnusedUsedEquations (28)-(29)Equations (51)-(52)Equations (51)-(52)Equations (53)-(54)Equations (53)-(54)Equations (49)-(50)

Case 5Used (First)
(Second)
UnusedEquations (28)-(29)Equations (51)-(52)Equations (51)-(52)Equations (53)-(54)Equations (53)-(54)Equations (49)-(50)

Case 6Used (First)
(Second)
UsedEquations (28)-(29)Equations (51)-(52)Equations (51)-(52)Equations (53)-(54)Equations (53)-(54)Equations (49)-(50)

Case 7Used
(Second)

(First)
UnusedEquations
(28)-(29)
Equations
(30)-(31)
Equations
(32)-(33)
Equations
(34)-(35)
Equations
(36)-(37)
Equations
(26)-(27)

Case 8Used
(Second)

(First)
UsedEquations
(28)-(29)
Equations
(30)-(31)
Equations
(32)-(33)
Equations
(34)-(35)
Equations
(36)-(37)
Equations
(26)-(27)

: Standardize criteria according to row-standardization.
: First standardize criteria according to row-standardization and then standardize PIS and NIS values according to row-standardization.

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