Abstract
In this chapter we present some recent applications of fuzzy extensions in image segmentation. First we review some basic concepts of Interval-valued fuzzy sets, which is the extension that is mainly used. Next we present the fuzzy thresholding algorithm and we discuss its main problem that leads to use the extensions of fuzzy sets. In section 3 we review some methods recently published that use extensions of fuzzy sets in image thresholding. Finally we show some experimental results comparing the classical fuzzy thresholding algorithm against the algorithms based on extensions of fuzzy sets.
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Bustince, H., Pagola, M., Barrenechea, E., Fernández, J. (2010). The Need to Use Fuzzy Extensions in Fuzzy Thresholding Algorithms. In: Cornelis, C., Deschrijver, G., Nachtegael, M., Schockaert, S., Shi, Y. (eds) 35 Years of Fuzzy Set Theory. Studies in Fuzziness and Soft Computing, vol 261. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16629-7_11
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DOI: https://doi.org/10.1007/978-3-642-16629-7_11
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