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Nowa metodologia oceny systemów złożonych przy niepełnej, nielicznej i niepewnej informacji - krótki przegląd możliwości wykorzystania teorii szarych systemów

Cempel C.

Bezpieczeństwo Pracy : nauka i praktyka

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2016

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nr 5

11-13

PL

W artykule przedstawiono, w formie z oczywistych przyczyn skróconej, podstawowe założenia teorii tzw. szarych systemów, prezentując jednocześnie szeroki przegląd najnowszej literatury naukowej na ten temat. Omówiono uzasadnienie potrzeby stosowania szarych systemów, ich elementy składowe oraz rodzaje, a także dotychczasowy stan wiedzy na temat ich potencjału. W tekście zostały również zaprezentowane przykładowe sposoby zastosowania szarych systemów w różnych obszarach rynkowych.

EN

The article presents, in the obviously consolidated version, primary and basic premises of the so-called grey systems theory, simultaneously affording readers a broad scope of the current scientific literature source material on the topic. First and foremost, a justification for the use of the given theory is presented, their components and versions as well as the foregoing stale of knowledge on their potential of use. There have been several exemplary ways of executing the theory in various market branches provided in the text, too.

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Consideration in diagnostics of the grey system theory

Żółtowski B.

Journal of Polish CIMAC

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2011

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Vol. 6, no 2

191-200

EN

The publication describes Grey System Theory (GST) and takes into account the Grey differential model (GM) and Grey Generating Space (GS). Grey System Theory shows to which extent the vibration signals (deriving from tested objects) influence the evaluation and analysis of condition of the machine. The above-mentioned theory applies under the existence of fix, non-negative and monotonic data correlated with insufficient and uncertain data’ sources. In relation to these circumstances, the Forecasting (rolling window) method seems to be appropriate solution, which remains the main subject of this paper. The present research use vibration methods to recognize the technical state of the machines and SVD method (Singular Value Decomposition) as well as GST (Grey System Theory) was used for results validation.

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Study on an improved grey dynamic programming model

Shi H., Liu S., Fang Z., Du H.

Systems Science

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2009

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Vol. 35, no 1

75-79

EN

The purpose of our study is to present an improved grey dynamic programming model. Considering the uncertainty of information, the conception of grey dynamic programming is proposed in this paper. It also studies the programming model when the profit values are interval numbers and figure out the optimal solution by defining the superiority, inferiority and equipollence position degree. A case study is stated in the end to prove the applicability of the model. Our approach consists in treating profit value as positive interval grey number and we get the optimal strategy solution by means of defining standard interval grey number. As a result, an improved grey dynamic programming model is put forward. The algorithms of interval grey numbers and grey algebraic system of interval grey number should be improved further. The model is useful to realize optimal control in the process of uncertain manufacture such as production plan, storage, source distribution, investment and sorting problems. An algorithm based on position degree for the grey dynamic programming model is put forward.