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Modified Generalised Fuzzy Petri Nets for Rule-Based Systems

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Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9437))

Abstract

In [10], the generalised fuzzy Petri nets were proposed. This class extends the existing fuzzy Petri nets by introducing three input/output operators in the form of triangular norms, which are supposed to function as substitute for the classical min, max, and * (the algebraic product) operators. In this paper, we describe so called modified generalised fuzzy Petri nets. A functional interpretation of transitions based on inverted fuzzy implications is added to the model. The proposed net model is not only more comfortable in terms of knowledge representation, but most of all it is more effective in the modelling process of approximate reasoning as in the new class of fuzzy Petri nets the user has the chance to define both the input/output operators as well as transition operators. To demonstrate the power and the usefulness of this model, an application of the modified generalised fuzzy Petri nets in the domain of train traffic control is provided. The proposed approach can be used for knowledge representation and 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 author is grateful to the anonymous referees for their helpful comments.

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Authors and Affiliations

  1. Chair of Computer Science, Faculty of Mathematics and Natural Sciences, University of Rzeszów, Prof. St. Pigonia Street 1, 35-310, Rzeszów, Poland

    Zbigniew Suraj

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  1. Zbigniew Suraj
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Correspondence to Zbigniew Suraj .

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Editors and Affiliations

  1. University of Regina, Regina, SK, Canada

    Yiyu Yao

  2. Tianjin University, Tianjin, China

    Qinghua Hu

  3. Chongqing University of Posts and Telecommunications, Chongqing, China

    Hong Yu

  4. University of Kansas, Lawrence, KS, USA

    Jerzy W. Grzymala-Busse

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Suraj, Z. (2015). Modified Generalised Fuzzy Petri Nets for Rule-Based Systems. In: Yao, Y., Hu, Q., Yu, H., Grzymala-Busse, J.W. (eds) Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing. Lecture Notes in Computer Science(), vol 9437. Springer, Cham. https://doi.org/10.1007/978-3-319-25783-9_18

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  • DOI: https://doi.org/10.1007/978-3-319-25783-9_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-25782-2

  • Online ISBN: 978-3-319-25783-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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