# CFM-BD: a distributed rule induction algorithm for building Compact Fuzzy Models in Big Data classification problems

## TL;DR

This paper introduces CFM-BD, a distributed algorithm designed to create accurate, interpretable, and compact fuzzy rule-based classifiers specifically for Big Data, outperforming existing methods in simplicity and efficiency.

## Contribution

The paper presents a novel distributed learning algorithm for Big Data that constructs simple, accurate fuzzy models without relying on existing algorithms, enhancing interpretability and performance.

## Key findings

- CFM-BD achieves competitive accuracy with simpler models.
- Models use fewer than 3 antecedents per rule.
- CFM-BD outperforms four state-of-the-art classifiers in Big Data scenarios.

## Abstract

Interpretability has always been a major concern for fuzzy rule-based classifiers. The usage of human-readable models allows them to explain the reasoning behind their predictions and decisions. However, when it comes to Big Data classification problems, fuzzy rule-based classifiers have not been able to maintain the good trade-off between accuracy and interpretability that has characterized these techniques in non-Big Data environments. The most accurate methods build too complex models composed of a large number of rules and fuzzy sets, while those approaches focusing on interpretability do not provide state-of-the-art discrimination capabilities. In this paper, we propose a new distributed learning algorithm named CFM-BD to construct accurate and compact fuzzy rule-based classification systems for Big Data. This method has been specifically designed from scratch for Big Data problems and does not adapt or extend any existing algorithm. The proposed learning process consists of three stages: 1) pre-processing based on the probability integral transform theorem; 2) rule induction inspired by CHI-BD and Apriori algorithms; 3) rule selection by means of a global evolutionary optimization. We conducted a complete empirical study to test the performance of our approach in terms of accuracy, complexity, and runtime. The results obtained were compared and contrasted with four state-of-the-art fuzzy classifiers for Big Data (FBDT, FMDT, Chi-Spark-RS, and CHI-BD). According to this study, CFM-BD is able to provide competitive discrimination capabilities using significantly simpler models composed of a few rules of less than 3 antecedents, employing 5 linguistic labels for all variables.