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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.

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Acknowledgments

The reported study was funded by the Russian Foundation for Basic Research according to the research project #20-01-00197.

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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

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