Abstract
There are many representations of Petri nets. One of the most known and applicable representations is the matrix one. Such representation enables an easy implementation of different kinds of concurrent algorithms for Petri nets. The aim of this paper is to present a matrix representation of parameterised fuzzy Petri nets. Recently, this net model has been proposed as a new class of fuzzy Petri nets. It extends, in a natural way, the fuzzy Petri nets by introducing two parameterised families of sums and products.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Cardoso, J., Camargo, H. (eds.): Fuzziness in Petri Nets. Springer (1999)
David, R., Alla, H.: Petri Nets & Grafcet. Tools for Modelling Discrete Event Systems. Prentice-Hall (1992)
Fryc, B., Pancerz, K., Peters, J.F., Suraj, Z.: On fuzzy reasoning using matrix representation of extended fuzzy Petri nets. Fundamenta Informaticae 60(1-4), 143–157 (2004)
Gao, M., Zhou, M.: Fuzzy reasoning Petri nets. IEEE Transactions on Systems, Man, and Cybernetics-Part A: Systems and Humans 33(3), 314–324 (2003)
Jensen, K., Rozenberg, G.: High-level Petri Nets. Springer (1991)
Desel, J., Reisig, W., Rozenberg, G. (eds.): Lectures on Concurrency and Petri Nets. Springer (2004)
Klement, E.P., Mesiar, R., Pap, E.: Triangular Norms. Kluwer (2000)
Murata, T.: Petri nets: properties, analysis and applications. Proc. of the IEEE 77, 541–580 (1989)
Peterson, J.L.: Petri net theory and the modeling of systems. Prentice-Hall (1981)
Suraj, Z.: Parameterised fuzzy Petri nets for approximate reasoning in decision support systems. In: Hassanien, A.E., Salem, A.-B.M., Ramadan, R., Kim, T.-H. (eds.) AMLTA 2012. CCIS, vol. 322, pp. 33–42. Springer, Heidelberg (2012)
Suraj, Z.: Parameterised fuzzy Petri nets for knowledge representation and reasoning. In: Proc. of the 2nd Int. Conf. on Data Management Technologies and Applications (DATA 2013), Reykjavik, Iceland, July 29-31, pp. 29–31 (to appear, 2013)
Suraj, Z.: A new class of fuzzy Petri nets for knowledge representation and reasoning. Fundamenta Informaticae (in print)
Suraj, Z.: Linear-Algebraic Representation of Generalised Fuzzy Petri Nets. In: Proc. of the 2013 IFSA World Congress, Edmonton, Canada, June 24-28, pp. 226–231 (2013)
Wang, H., Jiang, C., Liao, S.: Concurrent reasoning of fuzzy logical Petri nets based on multi-task schedule. IEEE Transactions on Fuzzy Systems 9(3), 444–449 (2001)
Yuan, J., Shi, H., Liu, C., Shang, W.: Backward Concurrent Reasoning Based on Fuzzy Petri Nets. In: Proc. of the 2008 IEEE Int. Conf. on Fuzzy Systems (FUZZ 2008), Hong Kong, China, June 1-6, pp. 832–837 (2008)
Zimmermann, H.J.: Fuzzy Set Theory and Its Applications. Kluwer, Boston (1993)
Yager, R.R., Filev, D.P.: Essentials of fuzzy modeling and control. Wiley (1994)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Suraj, Z. (2013). Matrix Representation of Parameterised Fuzzy Petri Nets. In: Ciucci, D., Inuiguchi, M., Yao, Y., Ślęzak, D., Wang, G. (eds) Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing. RSFDGrC 2013. Lecture Notes in Computer Science(), vol 8170. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41218-9_21
Download citation
DOI: https://doi.org/10.1007/978-3-642-41218-9_21
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-41217-2
Online ISBN: 978-3-642-41218-9
eBook Packages: Computer ScienceComputer Science (R0)