In current study, a particle swarm clustering method is suggested for clustering triangular fuzzy data. This clustering method can find fuzzy cluster centers in the proposed method, where fuzzy cluster centers contain more points from the corresponding cluster, the higher clustering accuracy. Also, triangular fuzzy numbers are utilized to demonstrate uncertain data. To compare triangular fuzzy ...

This chapter tries to answer the fundamental question of what main contributions of fuzzy clustering to the theory of cluster analysis from theoretical viewpoints. While fuzzy clustering is thought to be clearly useful by users of this technique, others think that the concept of fuzziness is not needed in clustering. Thus the usefulness of fuzzy clustering is not trivial. The discussion here is...

This study proposes a novel Intuitionistic fuzzy c-least squares support vector regression (IFCLSSVR) with sammon mapping clustering algorithm. The proposed clustering algorithm can obtain the advantages of intuitionistic fuzzy sets, LSSVR, and sammon mapping in actual clustering problems. Moreover, IFC-LSSVR with sammon mapping adopts particle swarm optimization (PSO) to search optimal paramet...

Firefly algorithm is a swarm-based algorithm that can be used for solving optimization problems. In this paper, we focus on image clustering algorithm using the fuzzy set of possible solution is incorporated into the original firefly to improve the performance. The movement of the firefly still follows the original pattern but they are updated according fuzzy c-means algorithm. All method, k-me...

In medical imaging uncertainty is widely present in data, because of the noise in acquisition and of the partial volume effects originating from the low resolution of sensors. In particular, borders between tissues are not exactly defined and memberships in the boundary regions are intrinsically fuzzy. Therefore, computer assisted unsupervised fuzzy clustering methods turn out to be particularl...

This paper extends the traditional Fuzzy C-Means clustering method to a generalized fuzzy clustering model. According to most applications, this fuzzy clustering model briefly includes 3 parts: feature extractor transfers original objects information to desired feature data; fuzzy cluster analyzer gets cluster information from the feature data; and post treatment obtains the final results based...

Clustering algorithms are highly dependent on the features used and the type of the objects in a particular image. By considering object similar surface variations (SSV) as well as the arbitrariness of the fuzzy c-means (FCM) algorithm for pixel location, a fuzzy image segmentation considering object surface similarity (FSOS) algorithm was developed, but it was unable to segment objects having ...

In this paper, the problem of achieving 'semi-fuzzy' or 'soft' clustering of multidimensional data is discussed.A technique based on thresholding the results of the fuzzy c-means algorithm is introduced.The proposed approach is analysed and contrasted with the soft clustering method (see S. Z. Selim and M. A. Ismail, Pattern Recognition 17, 559-568) showing the merits of the new method.Separati...

The Multiple Prototype Fuzzy Clustering Model (FCMP), introduced by Nascimento, Mirkin and Moura-Pires (1999), proposes a framework for partitional fuzzy clustering which suggests a model of how the data are generated from a cluster structure to be identi...ed. In the model, it is assumed that the membership of each entity to a cluster expresses a part of the cluster prototype re‡ected in the e...

Clustering algorithms are highly dependent on the features used and the type of the objects in a particular image. By considering object similar surface variations (SSV) as well as the arbitrariness of the fuzzy c-means (FCM) algorithm for pixel location, a fuzzy image segmentation considering object surface similarity (FSOS) algorithm was developed, but it was unable to segment objects having ...