I currently work on a multi attribute decision making (MADM) problem and wanted to solve it using TOPSIS method. My decision variable space is discrete so I cannot solve the problem using Multi objective optimization methods (like NSGA method) without converting the discrete space into continuous one.
So using TOPSIS method, if I have three variable ("a", "b", and "c") and wanted to minimize them in a way that satisfy some constraints (e.g. "a+b>10" and "c>20"), is the TOPSIS method capable of handling such constraints?
I know that the standard version of TOPSIS cannot handle the constraints and I cannot find a variation which can do so. If you know any variation of TOPSIS which can handle the soft and hard constraints, I will be appreciate if you let me know.
I don't think hat TOPSIS can handle that problem but for sure Linear Programming and SIMUS can
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