Abstract
A cyber-physical system (CPS) is a system of collaborating computational elements controlling physical entities. Nowadays cyber-physical systems can be found in areas as diverse as robotics, automotive, chemical processes, civil infrastructure, energy, healthcare, manufacturing, transportation, entertainment, and consumer appliances. In this paper, we address the problem of spatial-temporal group scheduling using Generalized nets (GN). We use GN in order to model the spatial, temporal, ordered and concurrent character of our mobile, distributed system. Our model is based on a discrete topology in which devices can change their location by moving from cell to cell. Using the GN, we model movement in a heterogeneous terrain as well as task execution or access to other resources of the devices. Intuitionistic Fuzzy Logic (IFL) are defined as extensions of ordinary fuzzy sets. All results which are valid for fuzzy sets can be transformed here too. Also, all research, for which the apparatus of fuzzy sets can be used, can be used to describe the details of IFL. In this paper we use it to obtain the Intuitionistic Fuzzy Estimation (IFE) for obtaining the degree of effectiveness, the degree of ineffectiveness of the robot and uncertainty during the robot movement.
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References
Lee, E.A.: CPS foundations. In: Proceedings of the 47th Design Automation Conference (DAC), pp. 737–742. ACM (2010)
Derler, P., Lee, E.A., Sangiovanni-Vincentelli, A:. Modeling cyber-physical systems. Proc. IEEE 100(1), 13–28 (2012) (special issue on CPS)
Lee, E.A.: The problem with threads. Computer 39, 33–42 (2006)
Graff, D., Richling, J., Stupp, T.M., Werner, M.: Context-aware annotations for distributed mobile applications. In: Wolfgang Karl, D.S. (ed.) ARCS’11 Workshop Proceedings: Second Workshop on Context-Systems Design, Evaluation and Optimisation (CoSDEO 2011), pp. 357–366. VDE, Feb 2011
Graff, D., Richling, J., Stupp, T.M., Werner, M.: Distributed active objects—a systemic approach to distributed mobile applications. In: Sterrit, R. (ed.) 8th IEEE International Conference and Workshops on Engineering of Autonomic and Autonomous Systems, pp. 10–19. IEEE Computer Society, Apr 2011
Graff, D., Werner, M., Parzyjegla, H., Richling, J., Mühl, G.: An object-oriented and context-aware approach for distributed mobile applications. In: Workshop on Context-Systems Design, Evaluation and Optimisation (CoSDEO 2010) at ARCS 2010—Architecture of Computing Systems, pp. 191–200 (2010)
Atanassov, K.: Generalized Nets. World Scientific, Singapore (1991)
Atanassov, K.: On Generalized Nets Theory. “Prof. M. Drinov” Academic Publishing House, Sofia (2007)
Sotirov S., Werner, M., Simeonov, S., Hardt, W., Sotirova, E., Simeonova, N.: Using generalized nets to model spatial-temporal group scheduling problems. Issues in IFS and GNs, vol. 11, pp. 42–54 (2014)
Atanassov, K.T.: On Intuitionistic Fuzzy Sets Theory. Springer, Berlin (2012)
Acknowledgments
The authors are grateful for the support provided by the project NTS Germania 11, funded by the DAAD.
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Sotirov, S., Sotirova, E., Werner, M., Simeonov, S., Hardt, W., Simeonova, N. (2016). Ituitionistic Fuzzy Estimation of the Generalized Nets Model of Spatial-Temporal Group Scheduling Problems. In: Angelov, P., Sotirov, S. (eds) Imprecision and Uncertainty in Information Representation and Processing. Studies in Fuzziness and Soft Computing, vol 332. Springer, Cham. https://doi.org/10.1007/978-3-319-26302-1_24
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DOI: https://doi.org/10.1007/978-3-319-26302-1_24
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