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New Rough Sets by Influence Zones Morphological Concept

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Soft Computing for Business Intelligence

Part of the book series: Studies in Computational Intelligence ((SCI,volume 537))

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Abstract

Rough Sets and Mathematical Morphology theories are both defined through dual operators sharing similar properties. This allows to establish equivalences between the basic morphological operators and rough sets. The concept of Influence Zones has been widely studied and used successfully in applications that are solved by Mathematical Morphology techniques. In this work we define the Rough Sets by Influence Zones based in morphological concept. To the best of our knowledge, this approach has not been explored until now.

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Author information

Authors and Affiliations

  1. Digital Image Processing Group, School of Engineering, National University of Mar del Plata, J.B.Justo 4302, Mar del Plata, Argentina

    Juan I. Pastore, Agustina Bouchet & Virginia L. Ballarin

  2. Consejo Nacional de Investigaciones Científicas y Técnicas, CONICET, Buenos Aires, Argentina

    Juan I. Pastore & Agustina Bouchet

Authors
  1. Juan I. Pastore
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  2. Agustina Bouchet
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  3. Virginia L. Ballarin
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Corresponding author

Correspondence to Juan I. Pastore .

Editor information

Editors and Affiliations

  1. Centro de Estudios de Técnicas de Dirección, Instituto Superior Politécnico José Antonio Echeverría, La Habana, Cuba

    Rafael Espin

  2. Centro de Estudios de Informática Carretera a Camajuani, Universidad Central Marta Abreu de Las Villas, Santa Clara, Cuba

    Rafael Bello Pérez

  3. Department of Applied Mathematics and Computer Science, Universidad de Cantabria, Santander, Spain

    Angel Cobo

  4. Department für Informatik, Carl Von Ossietzky Universität Oldenburg, Oldenburg, Germany

    Jorge Marx

  5. Instituto Superior Politécnico José Antonio Echeverría, La Habana, Cuba

    Ariel Racet Valdés

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Pastore, J.I., Bouchet, A., Ballarin, V.L. (2014). New Rough Sets by Influence Zones Morphological Concept. In: Espin, R., Pérez, R., Cobo, A., Marx, J., Valdés, A. (eds) Soft Computing for Business Intelligence. Studies in Computational Intelligence, vol 537. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-53737-0_5

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  • DOI: https://doi.org/10.1007/978-3-642-53737-0_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-53736-3

  • Online ISBN: 978-3-642-53737-0

  • eBook Packages: EngineeringEngineering (R0)

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