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Hybrid Connection Between Fuzzy Rough Sets and Ordered Fuzzy Numbers

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Fuzzy Techniques: Theory and Applications (IFSA/NAFIPS 2019 2019)

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Abstract

Ordered Fuzzy Numbers (OFN) provide the ability of modeling data which is united with its trend. This paper presents a proposition of connecting the OFN model with the concept of information granules built as fuzzy rough sets. The procedure for gathering data and converting them into OFN is a new way of looking at transforming time series of sensor readings into granules. The introduction of the method is supported by an illustrative example. The introduced procedure for calculating similarity between OFNs allows hybridization with fuzzy rough set approach and derivation of lower and upper approximations of concepts.

The hybridization concepts presented in this paper were developed as a part of the project “The hybridization of selected methods of computational intelligence for modeling non-precision data” within the program “MINIATURA 1” funded by the National Science Centre of Poland. Project No. 2017/01/X/ST6/01675.

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Author information

Authors and Affiliations

  1. Institute of Mechanics and Applied Computer Science, Kazimierz Wielki University, Kopernika 1, 85-074, Bydgoszcz, Poland

    Piotr Prokopowicz

  2. Institute of Informatics, University of Warsaw, Banacha 2, 02-097, Warsaw, Poland

    Marcin Szczuka

Authors
  1. Piotr Prokopowicz
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  2. Marcin Szczuka
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Corresponding author

Correspondence to Piotr Prokopowicz .

Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, USA

    Ralph Baker Kearfott

  2. Center for Computing Research (CIC), Instituto Politecnico Nacional, Ciudad de Mexico, Mexico

    Ildar Batyrshin

  3. Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada

    Marek Reformat

  4. Department of Computer Science, University of Texas at El Paso, El Paso, TX, USA

    Martine Ceberio

  5. Department of Computer Science, University of Texas at El Paso , El Paso, TX, USA

    Vladik Kreinovich

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Prokopowicz, P., Szczuka, M. (2019). Hybrid Connection Between Fuzzy Rough Sets and Ordered Fuzzy Numbers. In: Kearfott, R., Batyrshin, I., Reformat, M., Ceberio, M., Kreinovich, V. (eds) Fuzzy Techniques: Theory and Applications. IFSA/NAFIPS 2019 2019. Advances in Intelligent Systems and Computing, vol 1000. Springer, Cham. https://doi.org/10.1007/978-3-030-21920-8_45

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