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Evaluating a functional relationship from picture data of a chemical diffusion process — A case study

✍ Scribed by Hans Bandemer; Martina Lorenz

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
496 KB
Volume
93
Category
Article
ISSN
0165-0114

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✦ Synopsis

Experiments on the behaviour of solid materials with respect to the formation of new phases caused by chemical diffusion result in pictures showing the (random) penetration in a certain moment. Since the (surely rather complicated) law of probability of this process is unknown, the usually applied elementary methods from mathematical statistics become pure heuristics. Interpreting the phase (penetration) depth as a fuzzy variable allows a more realistic representation of the experimental results and the evaluation of a fuzzy functional relationship between phase depth and time, from which, e.g., useful conclusions are possible with respect to reasons and time laws of phase formation. The paper contains a real-world example.

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