From c730df8051cd226561ea94e226bd0abbaa5eb375 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Petr=C3=B4nio=20C=C3=A2ndido=20de=20Lima=20e=20Silva?= Date: Thu, 1 Mar 2018 23:09:14 -0300 Subject: [PATCH] Update README.md --- README.md | 13 +++++++------ 1 file changed, 7 insertions(+), 6 deletions(-) diff --git a/README.md b/README.md index 3e19061..9320a8b 100644 --- a/README.md +++ b/README.md @@ -10,13 +10,14 @@ This project is continously under improvement and contributors are well come. ## Fuzzy Time Series (FTS) Fuzzy Time Series (FTS) are non parametric methods for time series forecasting based on Fuzzy Theory. The original method was proposed by [1] and improved later by many researchers. The general approach of the FTS methods, based on [2] is listed below: -1. **Data preprocessing**: Data transformation functions contained at pyFTS.common.Transformations, like differentiation, Box-Cox, scaling and normalization. +1. **Data preprocessing**: Data transformation functions contained at [pyFTS.common.Transformations](https://github.com/petroniocandido/pyFTS/blob/master/pyFTS/common/Transformations.py), like differentiation, Box-Cox, scaling and normalization. + 2. **Universe of Discourse Partitioning**: This is the most important step. Here, the range of values of the numerical time series *Y(t)* will be splited in overlapped intervals and for each interval will be created a Fuzzy Set. This step is performed by pyFTS.partition module and its classes (for instance GridPartitioner, EntropyPartitioner, etc). The main parameters are: - the number of intervals - - which fuzzy membership function (on pyFTS.common.Membership) - - partition scheme (GridPartitioner, EntropyPartitioner, FCMPartitioner, CMeansPartitioner, HuarngPartitioner) + - which fuzzy membership function (on [pyFTS.common.Membership](https://github.com/petroniocandido/pyFTS/blob/master/pyFTS/common/Membership.py)) + - partition scheme ([GridPartitioner](https://github.com/petroniocandido/pyFTS/blob/master/pyFTS/partitioners/Grid.py), [EntropyPartitioner](https://github.com/petroniocandido/pyFTS/blob/master/pyFTS/partitioners/Entropy.py), [FCMPartitioner](https://github.com/petroniocandido/pyFTS/blob/master/pyFTS/partitioners/FCM.py), [CMeansPartitioner](https://github.com/petroniocandido/pyFTS/blob/master/pyFTS/partitioners/CMeans.py), [HuarngPartitioner](https://github.com/petroniocandido/pyFTS/blob/master/pyFTS/partitioners/Huarng.py)) - Check the jupyter notebook /notebooks/Partitioners.ipynb for sample codes. + Check out the jupyter notebook on [pyFTS/notebooks/Partitioners.ipynb](https://github.com/petroniocandido/pyFTS/blob/master/pyFTS/notebooks/Partitioners.ipynb) for sample codes. 3. **Data Fuzzyfication**: Each data point of the numerical time series *Y(t)* will be translated to a fuzzy representation (usually one or more fuzzy sets), and then a fuzzy time series *F(t)* is created. @@ -27,9 +28,9 @@ Fuzzy Time Series (FTS) are non parametric methods for time series forecasting b - *steps ahead*: the number of steps ahed to predict. Almost all standard methods are based on one-step-ahead forecasting - *forecasting type*: Almost all standard methods are point-based, but pyFTS also provides intervalar and probabilistic forecasting methods. -5. **Forecasting**: +5. **Forecasting**: The forecasting step takes a sample (with minimum length equal to the model's order) and generate a fuzzy outputs (fuzzy set(s)) for the next time ahead. -6. **Defuzzyfication** +6. **Defuzzyfication**: This step transform the fuzzy forecast into a real number. 7. **Data postprocessing**: The inverse operations of step 1.