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Dynamical Statement Networks

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Applied Non-Linear Dynamical Systems

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 93))

Abstract

This paper addresses dynamics in diagnostic expert systems. The introduced dynamic statement network may be used not only in static diagnosing systems but also in dynamic monitoring systems. Within these networks, statements consist of contents and values. Statement values are based on a concept introduced in intuitionistic fuzzy sets, i.e. they contain independent belief about validity and invalidity of information presented by statement contents. The relationships between statements are modelled in the form of a set of necessary as well as sufficient conditions. The author compared requirements placed against static and dynamic statement networks and devised a manner in which a static network may be transformed into a dynamic one which, in turn, facilitates non-monotonic reasoning required for monitoring systems.

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Acknowledgements

Described herein are selected results of study, supported partly from the budget of Research Task No. 4 implemented under The National Centre for Research and Development in Poland and ENERGA SA Strategic Program of Scientific Research and Development entitled Advanced Technologies of Generating Energy.

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Correspondence to Wojciech Cholewa .

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Cholewa, W. (2014). Dynamical Statement Networks. In: Awrejcewicz, J. (eds) Applied Non-Linear Dynamical Systems. Springer Proceedings in Mathematics & Statistics, vol 93. Springer, Cham. https://doi.org/10.1007/978-3-319-08266-0_25

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