Modelling functions with intervals

  • 20 July 2021
  • 0 replies


I want to build a Goal Programming Model that uses Satisfaction Functions Here for more information


I now want to build functions that work like this

My variables depend on an additional index j. delta represents the deviation from goal i at alternative j and the alphas represent certain thresholds defined for each scenario.

What is the easiest/simplest way to achieve this? I want to avoid using binary variables because I already tried it and the calculation of the variables did not work and additionally it does not protect against division by 0 if alpha_one and alpha_two happen to be equal.

If there is an easier way to achieve this please let me know :)

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