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Dissimilarity-Based Correlation of Movements and Events on Circular Scales of Space and Time

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Advances in Computational Intelligence (MICAI 2020)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 12469))

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Abstract

Circular scales appear in many applications related to a comparative analysis of the timing of events, wind directions, animals and vehicle movement directions, etc. The paper introduces a new non-statistical correlation function on circular scales based on a recently proposed approach to constructing correlation functions (association measures) using (dis)similarity measures on the set with an involutive operation. An involutive negation and a dissimilarity function satisfying required properties on a circular set are introduced and used for constructing the new correlation function. This correlation function can measure correlation both between two grades of circular scale and between sets of measurements of two circular variables.

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Acknowledgements

The investigation is partially supported by projects IPN SIP 20200853 and RFBR No 20-07-00770.

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Authors and Affiliations

  1. Instituto Politécnico Nacional, Centro de Investigación en Computación, Mexico City, Mexico

    Ildar Batyrshin

  2. Kazan Federal University, Kazan, Russia

    Nailya Kubysheva

  3. Bauman Moscow State Technical University, Moscow, Russia

    Valery Tarassov

Authors
  1. Ildar Batyrshin
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  2. Nailya Kubysheva
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  3. Valery Tarassov
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Corresponding author

Correspondence to Ildar Batyrshin .

Editor information

Editors and Affiliations

  1. Facultad de Ingeniería, Universidad Panamericana, Mexico City, Mexico

    Lourdes Martínez-Villaseñor

  2. Universidad Autónoma Metropolitana, Mexico City, Mexico

    Oscar Herrera-Alcántara

  3. Facultad de Ingeniería, Universidad Panamericana, Mexico City, Mexico

    Hiram Ponce

  4. Universidad Autónoma del Estado de Hidalgo, Hidalgo, Mexico

    Félix A. Castro-Espinoza

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Batyrshin, I., Kubysheva, N., Tarassov, V. (2020). Dissimilarity-Based Correlation of Movements and Events on Circular Scales of Space and Time. In: Martínez-Villaseñor, L., Herrera-Alcántara, O., Ponce, H., Castro-Espinoza, F.A. (eds) Advances in Computational Intelligence. MICAI 2020. Lecture Notes in Computer Science(), vol 12469. Springer, Cham. https://doi.org/10.1007/978-3-030-60887-3_21

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  • DOI: https://doi.org/10.1007/978-3-030-60887-3_21

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-60886-6

  • Online ISBN: 978-3-030-60887-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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