

In this paper, we propose a new method for construction of distance functions and metrics, by applying aggregation operators on some given distance functions and metrics. For some types and examples of aggregation operators, we analyze which properties of the given distance functions and metrics are preserved by such construction. We also present one possible application of the distance functions constructed in such way in image segmentation by fuzzy c-means algorithm. Other similar applications in image processing are also possible. © 2017, Springer-Verlag Berlin Heidelberg.
| Engineering controlled terms: | CopyingFuzzy clusteringFuzzy systemsImage segmentationMathematical operators |
|---|---|
| Engineering uncontrolled terms | Aggregation operatorDistance functionsFuzzy C-means algorithmsImage clusteringMetric |
| Engineering main heading: | Clustering algorithms |
| Funding sponsor | Funding number | Acronym |
|---|---|---|
| Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja | 34014,174009,TR 34014,TR 174009 | MPNTR |
| Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja | MPNTR |
Acknowledgements First and second authors acknowledge the financial support of the Ministry of Education, Science and Technological Development of the Republic of Serbia, in the frame of Project applied under No. TR 34014. Second author acknowledge the financial support of the Ministry of Education, Science and Technological Development of the Republic of Serbia, in the frame of Project applied under No. TR 174009.
Nedović, L.; Department of Fundamentals Sciences, Faculty of Technical Sciences, University of Novi Sad, Trg Dositeja Obradovića 6, 21000, Novi Sad, Serbia;
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