Abstract
In this paper, a soft Petri net model has been proposed based on a soft production rule. A soft implication operator has been introduced based on logical and set theoretic operations in a soft set. The truth degree in initial marking is considered as a binary number and boolean operators are used as In, \(Out_1\) and \(Out_2\) operators in the Petri net. Algorithms have been proposed to describe an approximate reasoning process with the soft Petri net. A numerical problem related to the purchase of a beautiful flat by a rational buyer has been discussed to establish relevance of the theory proposed.
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Acknowledgement
This work was partially supported by the Center for Innovation and Transfer of Natural Sciences and Engineering Knowledge at the University of Rzeszów. We would like to thank the anonymous referees for critical remarks and useful suggestions to improve the quality of the paper.
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Bandyopadhyay, S., Suraj, Z., Nayak, P.K. (2019). Soft Petri Net. In: Mihálydeák, T., et al. Rough Sets. IJCRS 2019. Lecture Notes in Computer Science(), vol 11499. Springer, Cham. https://doi.org/10.1007/978-3-030-22815-6_20
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DOI: https://doi.org/10.1007/978-3-030-22815-6_20
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