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Wednesday, December 16, 2020

Defining Fuzzy Membership Function Using Box Plot

The membership function is the key component in fuzzy techniques. When fuzzy techniques are extended to the data warehouse, so that we can make decisions using fuzzy techniques in a data warehouse, it was identified that in the many implementations does no have the data-driven techniques to define fuzzy membership function. 

In this research paper, which is a research project on Investigation and Development for Fuzzy Data Warehouse, we have used the famous Box Plot technique to derive a fuzzy function. In this technique, we have mapped the fuzzy function parameters to the Box Plot parameters as shown below. 


In this technique, you can define three states or five states function where they have combined trigonometric and trapezoidal functions. The following are the three states membership function defined from the Box - Plot. 
Read the full research article. This research article has all the implementation details as well as the evaluation techniques. This article already has more than 10 citations ignoring the self-citations. 

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