Abstract
The fractal logics is as well as the fuzzy logics orientated on the aim to reflect phenomena of the real world in a better way as it can be done by binary logics. Within the paper fuzzy logics and fractal logics will be compared based on logical properties. It will be shown that there is no essential difference between the fractal logics and the (non, min, max)-fuzzy logics. The notion of fractal logics uses the notion of logograms which can be decomposed into binary logics. Using logical networks built up of binary logic and fractal logic relations as a construction tool we can generalise the elementary notion of fractal logics to logics on a given halforder relation obeying some simple restrictive conditions. The interpretation of fractal logics leads to very interesting consequences for system sciences especially for model-building and simulation, some of them will be demonstrated in this paper.
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Peschel, M. (2000). Fractal Logics Versus Fuzzy Logics. In: Hampel, R., Wagenknecht, M., Chaker, N. (eds) Fuzzy Control. Advances in Soft Computing, vol 6. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1841-3_2
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DOI: https://doi.org/10.1007/978-3-7908-1841-3_2
Publisher Name: Physica, Heidelberg
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Online ISBN: 978-3-7908-1841-3
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