TOPSIS-DILREET-101803048 1.0.1

TOPSIS is an acronym that stands for ‘Technique of Order Preference Similarity to the Ideal Solution’ and is a pretty straightforward MCDA method

What is TOPSIS

TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) is one of the numerical methods of the multi-criteria decision making. This is a broadly applicable method with a simple mathematical model.It chooses the alternative of shortest Euclidean distance from the ideal solution, and greatest distance from the negative-ideal solution.

Steps used in TOPSIS

1)Normalize the given decision data 2)Find weighted normalized 3)Determine positive ideal and negative ideal solution 4)Calculate separation measures 5)Find relative closesness to ideal solution 6)Rank the preference order

Sample Data:

Model,Corr,Rseq,RMSE,Accuracy M1,0.79,0.62,1.25,60.89 M2,0.66,0.44,2.89,63.07 M3,0.56,0.31,1.57,62.87 M4,0.82,0.67,2.68,70.19 M5,0.75,0.56,1.3,80.39

Output of This Data

1,2,3,4,performance score,rank as per topsis M1,0.79,0.62,1.25,60.89,0.7722097345612788,2 M2,0.66,0.44,2.89,63.07,0.22559875426413367,5 M3,0.56,0.31,1.57,62.87,0.43889731728018605,4 M4,0.82,0.67,2.68,70.19,0.5238778712729114,3 M5,0.75,0.56,1.3,80.39,0.8113887082429979,1