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Modularization of fuzzy relational equations

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Abstract

 In this study, we are concerned with a modularization of fuzzy relational equations that is converting a highly dimensional (multivariable) relational equation into a series of single input fuzzy relational equations. The problem originates from a need of handling (estimating) highly dimensional relational structures and is inherently associated with the curse of dimensionality present in relational fuzzy models. We propose a two-layer architecture and discuss a detailed optimization scheme leading to the determination of the fuzzy relations occurring there. Illustrative numerical studies are also included.

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Authors and Affiliations

  1. Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Canada T6G 2G7, and Systems Research Institute, Polish Academy of Sciences, 01-447 Warsaw, Poland, , , , , , PL

    W. Pedrycz

  2. Foundation for Research and Technology – Hellas – FORTH, Institute of Computer Science – ICS, Telecommunications & Networks Group, PO Box 1385, 71110 Heraklion, Greece, , , , , , GR

    A. V. Vasilakos

Authors
  1. W. Pedrycz
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  2. A. V. Vasilakos
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Pedrycz, W., Vasilakos, A. Modularization of fuzzy relational equations. Soft Computing 6, 33–37 (2002). https://doi.org/10.1007/s005000100125

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  • DOI: https://doi.org/10.1007/s005000100125