# Parameterised Fuzzy Petri Nets for Knowledge Representation and Reasoning

### Zbigniew Suraj

#### Abstract

The paper presents a new methodology for knowledge representation and reasoning based on parameterised fuzzy Petri nets. Recently, this net model has been proposed as a natural extension of generalised fuzzy Petri nets. The new class extends the generalised fuzzy Petri nets by introducing two parameterised families of sums and products, which are supposed to provide the suitable t-norms and s-norms. The nature of the fuzzy reasoning realised by a given net model changes variously depending on t- and/or s-norms to be used. However, it is very difficult to select a suitable t- and/or s-norm function for actual applications. Therefore, we proposed to use in the net model parameterised families of sums and products, which nature change variously depending on the values of the parameters. Taking into account this aspect, we can say that the parameterised fuzzy Petri nets are more flexible than the classical fuzzy Petri nets, because they allow to define the parameterised input/output operators. Moreover, the choice of suitable operators for a given reasoning process and the speed of reasoning process are very important, especially in real-time decision support systems. Some advantages of the proposed methodology are shown in its application in train traffic control decision support.

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#### Paper Citation

#### in Harvard Style

Suraj Z. (2013). **Parameterised Fuzzy Petri Nets for Knowledge Representation and Reasoning** . In *Proceedings of the 2nd International Conference on Data Technologies and Applications - Volume 1: DATA,* ISBN 978-989-8565-67-9, pages 5-13. DOI: 10.5220/0004403000050013

#### in Bibtex Style

@conference{data13,

author={Zbigniew Suraj},

title={Parameterised Fuzzy Petri Nets for Knowledge Representation and Reasoning},

booktitle={Proceedings of the 2nd International Conference on Data Technologies and Applications - Volume 1: DATA,},

year={2013},

pages={5-13},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0004403000050013},

isbn={978-989-8565-67-9},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 2nd International Conference on Data Technologies and Applications - Volume 1: DATA,

TI - Parameterised Fuzzy Petri Nets for Knowledge Representation and Reasoning

SN - 978-989-8565-67-9

AU - Suraj Z.

PY - 2013

SP - 5

EP - 13

DO - 10.5220/0004403000050013