Abstract
In this paper, the fuzzy edge detector from the fuzzy mathematical morphology based on conjunctive uninorms is deeply analysed in order to improve its performance. Since the edge detector is based on a conjunctive uninorm and a fuzzy implication, several different pairs of these operators are considered with the aim of determining which is the most competitive one. The comparison is performed using an objective edge detection performance measure, the so-called Pratt’s figure of merit. In addition, a statistical analysis is carried out to study the relationship between the different configurations and establish a classification of the uninorms and implications considered in this paper according to the performance of their respective morphological gradient. Both the objective measure and the statistical analysis conclude that the idempotent uninorm obtained using the classical negation, and its residual implication is the best configuration in this framework, although some other configurations can also be considered.
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González-Hidalgo, M., Massanet, S., Mir, A., Ruiz-Aguilera, D. (2015). On the Pair Uninorm-Implication in the Morphological Gradient. In: Madani, K., Correia, A., Rosa, A., Filipe, J. (eds) Computational Intelligence. IJCCI 2012. Studies in Computational Intelligence, vol 577. Springer, Cham. https://doi.org/10.1007/978-3-319-11271-8_12
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DOI: https://doi.org/10.1007/978-3-319-11271-8_12
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