Abstract

A novel fuzzy rough granular neural network (NFRGNN) based on the multilayer perceptron using backpropagation algorithm is described for fuzzy classification of patterns. We provide a development strategy of knowledge extraction from data using fuzzy rough set theoretic techniques. Extracted knowledge is then encoded into the network in the form of initial weights. The granular input vector is presented to the network while the target vector is provided in terms of membership values and zeros. The superiority of NFRGNN is demonstrated on several real life data sets.

Highlights

  • Granular Computing (GC) is a new informationprocessing paradigm being developed in the past few years

  • Initial weights are determined among the nodes of all layers in the network by fuzzy rough sets based on fuzzy reflexive relation; 2

  • We have presented the design of a novel granular neural network architecture by integrating fuzzy rough sets with multilayer perceptron using back propagation algorithm

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Summary

Introduction

Granular Computing (GC) is a new informationprocessing paradigm being developed in the past few years. It recognizes that precision is an example in modeling and controlling complex systems. To enable a system to tackle real-life ambiguous situations (Ref. 2) in a manner more akin to humans, one may incorporate the concept of granules into the neural networks, a biologically inspired computing paradigm. Zhang et al (Ref. 21) described granular neural networks using fuzzy sets as their formalism and an evolutionary training algorithm. As part of determining the initial weights, Banerjee et al (Ref. 5) described a knowledge based network, where knowledge is extracted from data in the form of decision rules using rough set theoretic techniques. The main purpose of fuzzy and rough hybridization is to provide high degree of flexibility (Ref. 9), robust solutions (Ref. 10), and handling uncertainty (Ref. 11)

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