Application of SCT elective methods such as Borda Count commonly requires creating a pay-off table and enabling the mathematical formulation of a large class of decision problems (including the problem presented in Section 3). Consider a set of n alternatives to select from, and let m denote the number of criteria to be used for evaluating the quality of alternatives. The alternatives can be ranked concerning each criterion, and based on the ranking, a mxn pay-off table (Table 1) can be constructed, with rows corresponding to criteria and columns corresponding to alternatives. Each row represents the ranking of the alternatives concerning the criterion corresponding to this row.

Table 1

Pay-off table.

CriteriaAlternatives
Alt. 1Alt. 2Alt. jAlt. n
Crit. 1 a11 a12  a1j  a1n 
Crit. 2 a21 a22  a2j  a2n 
…       
Crit. i ai1 ai2  aij   
…       
Crit. m am1 am2  amj  amn 
CriteriaAlternatives
Alt. 1Alt. 2Alt. jAlt. n
Crit. 1 a11 a12  a1j  a1n 
Crit. 2 a21 a22  a2j  a2n 
…       
Crit. i ai1 ai2  aij   
…       
Crit. m am1 am2  amj  amn 

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