Where represents a weighted sum of unwanted deviations and is hence associated with optimisation. represents the minimisation of the maximal weighted unwanted deviation and is hence associated with achieving a balance between goals. represents the number of unmet goals and is hence associated with goal seeking behaviour, and represents the distance from the decision makers expressed pairwise comparisons and is hence a measure of consistency with preferences being parameters that control the respective amount of , weighting in the achievement function. Using this representation yields the following algebraic formulation of the extended goal programming model:
represents a weighted sum of unwanted deviations and is hence associated with optimisation. 
represents the minimisation of the maximal weighted unwanted deviation and is hence associated with achieving a balance between goals. 
represents the number of unmet goals and is hence associated 
represents the distance from the decision makers expressed pairwise comparisons and is hence a measure of 
being parameters that control 
,
weighting in the achievement function. Using this representation yields the following algebraic formulation of the extended goal programming model:
