Research Article

From Linear Programming Approach to Metaheuristic Approach: Scaling Techniques

Table 1

Mathematical preliminaries for scaling techniques.

SymbolDescription

: matrix (with m rows (observations) and n columns (attributes))
:The scaling agent of row i
:The scaling agent of column j
R:Diagonal matrix, such that
S:Diagonal matrix, such that
:, such that and , such that
: :The number of elements for the set
:The number of elements for the set
:The scaled matrix by the row R scaling agent
:The final scaled matrix