Fuzzy Modeling Library (FMLib)
ele2-4-1056: Estimation of the medium voltage electrical line maintenance cost in towns

Description

The problem involves to estimate the minimum maintenance costs which are based on a model of the optimal electrical network for Spanish towns. The problem has four input variables: sum of the lengths of all streets in the town, total area of the town, area that is occupied by buildings, and energy supply to the town. These values are somewhat lower than the real ones, but companies are interested in an estimation of the minimum costs.

Of course, real maintenance costs are exactly accounted but a model that relates these costs to any characteristic of simulated towns with the optimal installation is important for the electrical companies. We were provided with data concerning the four characteristics of the towns and their minimum maintenance costs in a sample of 1,056 simulated towns.

In this problem, five linguistic terms are usually considered for each variable in linguistic fuzzy modeling.

Data Sets

The original data set of 1,056 examples has been randomly divided into 5 different subsets (four of them with 211 examples and one of them with 212 examples). Joining four of these subsets in a training data set and keeping the fifth subset as test data set it is possible to build 5 different partitions of the original data set at 80%-20%, i.e., a 5-fold cross-validation. Some papers only consider a data set partition, in this case, the first partition is used.

The existing dependency of the four input variables with the output variable in the first training and test data sets is shown below.

(X1,Y) in ele2-4-1056.tra	(X2,Y) in ele2-4-1056.tra	(X3,Y) in ele2-4-1056.tra	(X4,Y) in ele2-4-1056.tra
(X1,Y) in ele2-4-1056.tst	(X2,Y) in ele2-4-1056.tst	(X3,Y) in ele2-4-1056.tst	(X4,Y) in ele2-4-1056.tst

Results

References

Fuzzy Modeling Library (FMLib)

© Jorge Casillas