Abstract

Fuzzy VIKOR C-means (FVCM) is a kind of unsupervised fuzzy clustering algorithm that improves the accuracyand computational speed of Fuzzy C-means (FCM). So it reduces the sensitivity to noisy and outlier data, and enhances performance and quality of clusters. Since FVCM allocates some data to a specific cluster based on similarity technique, reducing the effect of noisy data increases the quality of the clusters. This paper presents a new approach to the accurate location of noisy data to the clusters overcoming the constraints of noisy points through fuzzy support vector machine (FSVM), called FVCM-FSVM, so that at each stage samples with a high degree of membership are selected for training in the classification of FSVM. Then, the labels of the remaining samples are predicted so the process continues until the convergence of the FVCM-FSVM. The results of the numerical experiments showed the proposed approach has better performance than FVCM. Of course, it greatly achieves high accuracy.

Highlights

  • A data set divides through partition clustering algorithms into non-overlapping subsets so that each data belongs to a subset

  • Glass data set is the standard set of data that contains clusters of different sizes, the best entropy value belongs to Fuzzy VIKOR C-means (FVCM)-fuzzy support vector machine (FSVM)#3 because the method of data distribution and the weight of the alternatives are the effective factors of such a result

  • FVCM-FSVM based FSVM develops FVCM to overcome the destructive effects of noisy data, and increase accuracy because FSVM is one of the classification methods which it has a good generalized

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Summary

Introduction

A data set divides through partition clustering algorithms into non-overlapping subsets so that each data belongs to a subset. The FSVM [18] classification algorithm is a developed species of Support Vector Machine (SVM) [19] so that each of the training samples has different degrees of importance using the fuzzy concepts This issue is considered in the learning process. Using the fuzzy membership function, FSVM can reduce the problem of classifying noisy and outlier data and increase the accuracy of allocation of border data. FSVM has more tolerant to noisy points and a short-term response by using a fuzzy membership functions This is due to the fact that the classification method in choosing the decision boundary attempts to maximize the minimum distance to each of the classes, and how to select a boundary based on points called support vectors.

Background
Proposed FVCM-FSVM algorithm
Experiment
Experiment 2
Findings
Conclusion
Full Text
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