Skip to main content

Implementation of TOPSIS decision making

Project description


Inspired by TOPSIS-Python (python2).

Our python 3 code follows the same strucutre, definign a topsis class, but uses numpy linear algebra in order to modernise, optimise, and remove redundant code.

pypi: git:

What is TOPSIS

Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) originated in the 1980s as a multi-criteria decision making method. TOPSIS chooses the altenrative of shortest Euclidean distance from the idael solution, and fartherst distance from the negative-ideal solution. More details at wikipedia. The TOPSIS algorithm is succintly explained in this paper comparing TOPSIS and VIKOR methods

Using TOPSIS-Python

TOPSIS-Python can be run as in the following example:

>>> import numpy as np
>>> from topsis import topsis
>>> a = [[7, 9, 9, 8], [8, 7, 8, 7], [9, 6, 8, 9], [6, 7, 8, 6]]
>>> w = [0.1, 0.4, 0.3, 0.2]
>>> I = np.array([1, 1, 1, 0]
>>> decision = topsis.topsis(a, w, I)

The decision matrix (a) should be constructed with each row representing an alternative, and each column representing a criterion. We have used an example given in TOPSIS Method in MADM (Dr. Farhad Faez)

Weights (w) is not already normalised will be normalised upon initialisation. Information on benefit (1) cost (0) criteria should be provided in I.

By default, the optimisation (TOPSIS calculation) does not take place. No values are stored in decision.C or decision.optimum_choice.

These can be calculated, either by calling decision.calc(), or by calling a representation of the decision (which will itself call decision.calc()):

>>> decision

Alternatives ranking C:
[0.74269409 0.40359933 0.17586999 0.44142927]

Best alternative
a[0]: [7. 9. 9. 8.]

The rankings are saved in decision.C, with the highest ranking $0.74269409$ offering us the best decision, and lowest ranking $0.17586999$ offering the worst decision making, according to TOPSIS method.

We are also then shown the best alternative index (which happens to be index 0 in this example), and the associated criteria coefficients of this alternative.

Project details

Download files

Download the file for your platform. If you're not sure which to choose, learn more about installing packages.

Files for topsis-jamesfallon, version 0.1.3
Filename, size File type Python version Upload date Hashes
Filename, size topsis_jamesfallon-0.1.3-py3-none-any.whl (3.3 kB) File type Wheel Python version py3 Upload date Hashes View hashes
Filename, size topsis-jamesfallon-0.1.3.tar.gz (2.4 kB) File type Source Python version None Upload date Hashes View hashes

Supported by

Elastic Elastic Search Pingdom Pingdom Monitoring Google Google BigQuery Sentry Sentry Error logging AWS AWS Cloud computing DataDog DataDog Monitoring Fastly Fastly CDN SignalFx SignalFx Supporter DigiCert DigiCert EV certificate StatusPage StatusPage Status page