The Brown–Gibson model is one of the many techniques for multi-attribute decision making. The method was developed in 1972 by P. Brown and D. Gibson.[1] This is one of the few models which integrates both objective and subjective factors in decision making.
The Brown–Gibson model can be mathematically represented as follows:
Mi=Ci ⋅ [D ⋅ Oi+(1-D)Si]
where
Mi = measure for an alternative i
Ci = critical factor measure, which could be either 0 or 1 for an alternative i
O = objective factor measure, which could be between 0 and 1; however, the sum of all objective factor measures for different alternatives should add back to 1
S = subjective factor measure, which could be between 0 and 1; however, the sum of all subjective factor measures for different alternatives should add back to 1
D = objective factor decision weight; should be between 0 and 1
One would select the alternative whose measure is the highest.