skcriteria.madm.closeness
module¶
Methods based on an aggregating function representing “closeness to the ideal”.
-
class
skcriteria.madm.closeness.
TOPSIS
(mnorm='vector', wnorm='sum')[source]¶ Bases:
skcriteria.madm._dmaker.DecisionMaker
TOPSIS is based on the concept that the chosen alternative should have the shortest geometric distance from the ideal solution and the longest euclidean distance from the worst solution.
An assumption of TOPSIS is that the criteria are monotonically increasing or decreasing, and also allow trade-offs between criteria, where a poor result in one criterion can be negated by a good result in another criterion.
Parameters: - mnorm : string, callable, optional (default=”vector”)
Normalization method for the alternative matrix.
- wnorm : string, callable, optional (default=”sum”)
Normalization method for the weights array.
Returns: - Decision :
skcriteria.madm.Decision
With values:
- kernel_: None
- rank_: A ranking (start at 1) where the i-nth element represent the position of the i-nth alternative.
- best_alternative_: The index of the best alternative.
- alpha_solution_: True
- beta_solution_: False
- gamma_solution_: True
- e_: Particular data created by this method.
- e_.closeness: Array where the i-nth element represent the closenees of the i-nth alternative to ideal and worst solution.
References
[1] Yoon, K., & Hwang, C. L. (1981). Multiple attribute decision making: methods and applications. SPRINGER-VERLAG BERLIN AN. [2] TOPSIS. In Wikipedia, The Free Encyclopedia. Retrieved from https://en.wikipedia.org/wiki/TOPSIS [3] Tzeng, G. H., & Huang, J. J. (2011). Multiple attribute decision making: methods and applications. CRC press. Attributes: mnorm
Normalization function for the alternative matrix.
wnorm
Normalization function for the weights vector.
Methods
as_dict
()Create a simply dict
representation of the object.decide
(data[, criteria, weights])Execute the Solver over the given data. doc_inherit
make_result
(data, kernel, rank, extra)Create a new skcriteria.madm.Decision
preprocess
(data)Normalize the alternative matrix and weight vector. solve
(ndata)Execute the multi-criteria method. -
doc_inherit
= functools.partial(<function _doc_inherit>, (<class 'skcriteria.madm._dmaker.DecisionMaker'>, <class 'skcriteria.base.BaseSolver'>, <class 'object'>))¶