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Fractal Logics Versus Fuzzy Logics

  • Manfred Peschel
Conference paper
Part of the Advances in Soft Computing book series (AINSC, volume 6)

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.

Keywords

Fuzzy Logic Fuzzy Variable Binary Logic Neutral Level Elementary Notion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Manfred Peschel
    • 1
  1. 1.GroßschönauGermany

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