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Flexible Generalized Fuzzy Petri Nets for Rule-Based Systems

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Theory and Practice of Natural Computing (TPNC 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10071))

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Abstract

In 2015, the modified generalised fuzzy Petri nets (mGFP-nets) were proposed. This paper describes an extended class of mGFP-nets called flexible generalised fuzzy Petri nets (FGFP-nets). The main difference between the latter net model and the mGFP-net concerns transition operator \(Out_1\) appearing in a triple of operators \((In, Out_1, Out_2)\) in a mGFP-net. The operator \(Out_1\) for each transition is determined automatically by the GTVC algorithm, using the value of In and the value of truth degree function \(\beta \) in the net. This modification has significant influence on optimization of the modelled system by the FGFP-nets. The choice of suitable operators for the modelled system is very important, especially in systems described by incomplete, imprecise and/or vague information. The proposed approach can be used both for control design as well as knowledge representation and modelling of reasoning in decision support systems.

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Acknowledgments

This work was partially supported by the Center for Innovation and Transfer of Natural Sciences and Engineering Knowledge at the University of Rzeszów. The authors are grateful to the anonymous referees for their helpful comments.

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Authors and Affiliations

  1. Chair of Computer Science, University of Rzeszów, Rzeszów, Poland

    Zbigniew Suraj & Piotr Grochowalski

  2. Department of Mathematics, Visva Bharati, Santiniketan, India

    Sibasis Bandyopadhyay

Authors
  1. Zbigniew Suraj
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  2. Piotr Grochowalski
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  3. Sibasis Bandyopadhyay
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Corresponding author

Correspondence to Zbigniew Suraj .

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Editors and Affiliations

  1. Rovira i Virgili University, Tarragona, Spain

    Carlos Martín-Vide

  2. Tohoku University, Sendai, Japan

    Takaaki Mizuki

  3. University of Extremadura, Cáceres, Spain

    Miguel A. Vega-Rodríguez

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Suraj, Z., Grochowalski, P., Bandyopadhyay, S. (2016). Flexible Generalized Fuzzy Petri Nets for Rule-Based Systems. In: Martín-Vide, C., Mizuki, T., Vega-Rodríguez, M. (eds) Theory and Practice of Natural Computing. TPNC 2016. Lecture Notes in Computer Science(), vol 10071. Springer, Cham. https://doi.org/10.1007/978-3-319-49001-4_16

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  • DOI: https://doi.org/10.1007/978-3-319-49001-4_16

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-49000-7

  • Online ISBN: 978-3-319-49001-4

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