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Fuzzy Petri Net Representation of Fuzzy Production Propositions of a Rule Based System

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Advances in Computing and Data Sciences (ICACDS 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1045))

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Abstract

Petri net is a potential mathematical and graphical modelling tool, used to examine the properties of various complex discrete event and distributed systems. In this paper, a Petri net variant, called Fuzzy Petri net (FPN) has been used to represent Fuzzy Production propositions of a rule based system, where a fuzzy production proposition explains the fuzzy relation among two propositions. For this purpose, another Petri net variant, known as Boolean Petri net (BPN) is considered because of its practical significance. BPNs can be used to represent active and inactive stages of a system like switching circuits; to qualitatively describe gene regulatory interactions etc. The Fuzzy Production propositions of BPN have been represented using Fuzzy Petri net and a precedent-subsequent relation between the two fuzzy propositions of BPNs has been checked using fuzzified propositional algorithm. This relation provides an important property of BPNs based on initial marking of Petri nets and the obtained truth degree of the success node validates the belief strength of this property.

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Acknowledgements

The first and second authors are thankful to Department of Applied Sciences, Amity University, Haryana and the third author is thankful to UPOE-II 257 and DST PURSE for providing research facility.

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Authors and Affiliations

  1. Department of Applied Mathematics, Amity School of Applied Sciences, Amity University Haryana, Gurgaon, India

    Sakshi Gupta & Sunita Kumawat

  2. Mathematical Sciences and Interdisciplinary Research Lab, School of Computational and Integrative Sciences, JNU, New Delhi, India

    Gajendra Pratap Singh

Authors
  1. Sakshi Gupta
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  2. Sunita Kumawat
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  3. Gajendra Pratap Singh
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Corresponding author

Correspondence to Sunita Kumawat .

Editor information

Editors and Affiliations

  1. University of KwaZulu-Natal, Durban, South Africa

    Mayank Singh

  2. Computer Science and Engineering, Jaypee Institute of Information Technology, Waknaghat, Himachal Pradesh, India

    P.K. Gupta

  3. Department of Computer Science and Engineering, Jaypee University of Engineering and Technology, Guna, Madhya Pradesh, India

    Vipin Tyagi

  4. ÚTIA AV ČR, Institute of Information Theory and Automation, Prague 8, Praha, Czech Republic

    Jan Flusser

  5. School of Electrical Engineering and Computer Science, University of Ottawa, Ottawa, ON, Canada

    Tuncer Ören

  6. CSE Department, Inderprastha Engineering College, Ghaziabad, Uttar Pradesh, India

    Rekha Kashyap

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Gupta, S., Kumawat, S., Singh, G.P. (2019). Fuzzy Petri Net Representation of Fuzzy Production Propositions of a Rule Based System. In: Singh, M., Gupta, P., Tyagi, V., Flusser, J., Ören, T., Kashyap, R. (eds) Advances in Computing and Data Sciences. ICACDS 2019. Communications in Computer and Information Science, vol 1045. Springer, Singapore. https://doi.org/10.1007/978-981-13-9939-8_18

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  • DOI: https://doi.org/10.1007/978-981-13-9939-8_18

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-9938-1

  • Online ISBN: 978-981-13-9939-8

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