Novel fuzzy clustering algorithm for fuzzy data

Abstract

This paper presents a new fuzzy clustering algorithm for fuzzy numbers, called the weight fuzzy c-means (WFCM) clustering based on distance function [1]. We first discuss the conventional FCM algorithm for crisp data with brief overview of fuzzy set theory related to the problem at hand and indicate the disparity in the existing approaches of clustering for fuzzy data. In the proposed method, first we converted the fuzzy data matrix into respective weight matrix and then using FCM calculates the membership grade of every fuzzy data. Numerical results show that the presented algorithm performs more robust, logical and superior in performance.