Abstract
In this paper the descriptive state-oriented and temporal-oriented models are introduced to treat the assumptions and uncertainty for the automated planning and scheduling problem. The way how to estimate which state or set of possible states may result from performing an operation is discussed. Fuzzy graph interval-valued representation of scheduling problem and state-transition system is introduced. Fuzzy temporal model operates on fuzzy intervals; and both qualitative (precedence relations between operations, finish-to-start relations) and quantitative (interval-valued time durations) constraints are handled by it. The idea of temporal-ordered partial schedule associated with the planning state of the system is discussed. And the finite state machine model (automata) for the planning system under uncertainty is suggested.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Allen, J., Kautz, H., Pelavin, R., Tenenberg, J.: Reasoning about Plans. Morgan Kaufmann, San Mateo (2014)
Allen, J.F.: Maintaining knowledge about temporal intervals. Commun. ACM 21(11), 832–843 (1983)
Allen, J.: Planning as temporal reasoning. In: Proceedings of the International Conference on Principles of Knowledge Representation and Reasoning (KR), pp. 3–14. Morgan Kaufmann, San Mateo (1991)
McDermott, D.: A temporal logic for reasoning about processes and plans. Cogn. Sci. 6, 101–155 (1982). https://doi.org/10.1016/S0364-0213(82)90003-9
Fisher, M., Gabbay, D.M., Vila, L.: Handbook of Temporal Reasoning in Artificial Intelligence, vol. 1. Elsevier (2005)
Ghallab, M., Nau, D.S., Traverso, P.: Automated Planning: Theory and Practice. The Morgan Kaufmann Series in Artificial Intelligence, Morgan Kaufmann, Amsterdam (2004)
Bartak, R., Morris, R., Venable, B.: An Introduction to Constraint-Based Temporal Reasoning. Morgan Claypool (2014). https://doi.org/10.2200/S00557ED1V01Y201312AIM026
Dechter, R., Meiri, I., Pearl, J.: Temporal constraint networks. Artif. Intell. 49, 61–95 (1991). https://doi.org/10.1016/0004-3702(91)90006-6
Ghallab, M., Nau, D., Traverso, P.: Automated Planning and Acting. Cambridge University Press (2016)
Fortin, J., Dubois, D., Fargier, H.: Gradual numbers and their application to fuzzy interval analysis. IEEE Trans. Fuzzy Syst. 16(2), 388–402 (2008)
Dubois, D., Kerre, E., Mesiar, R., Prade, H.: Fuzzy interval analysis. In: Dubois, D., Prade, H. (eds.) Fundamentals of Fuzzy Sets, pp. 483–581, The Handbooks of Fuzzy Sets Series, vol. 7. Springer, Boston (2000). https://doi.org/10.1007/978-1-4615-4429-6_11
Knyazeva, M., Bozhenyuk, A., Kaymak, U.: Fuzzy temporal graphs and sequence modelling in scheduling problem. In: Lesot, M.-J., et al. (eds.) IPMU 2020. CCIS, vol. 1239, pp. 539–550. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-50153-2_40
Sipser, M.: Introduction to the Theory of Computation. Cengage Learning (2012)
Acknowledgments
The reported study was funded by the Russian Foundation for Basic Research according to the research project #20-01-00197.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Kacprzyk, J., Knyazeva, M., Bozhenyuk, A. (2022). Fuzzy Interval-Valued Temporal Automated Planning and Scheduling Problem. In: Aliev, R.A., Kacprzyk, J., Pedrycz, W., Jamshidi, M., Babanli, M., Sadikoglu, F.M. (eds) 11th International Conference on Theory and Application of Soft Computing, Computing with Words and Perceptions and Artificial Intelligence - ICSCCW-2021. ICSCCW 2021. Lecture Notes in Networks and Systems, vol 362. Springer, Cham. https://doi.org/10.1007/978-3-030-92127-9_11
Download citation
DOI: https://doi.org/10.1007/978-3-030-92127-9_11
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-92126-2
Online ISBN: 978-3-030-92127-9
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)