Non-Archimedean Fuzzy Reasoning

@article{Schumann2007NonArchimedeanFR,
  title={Non-Archimedean Fuzzy Reasoning},
  author={A. Schumann},
  journal={Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007)},
  year={2007},
  volume={1},
  pages={2-6}
}
The informal sense of Archimedes' axiom is that anything can be measured by a ruler. The negation of this axiom allows to consider non-well founded phenomena (e.g. self- applicative programs, graph circularity, etc.). In this paper we propose non-Archimedean fuzziness for the first time, i.e. fuzziness that runs over the non-Archimedean number systems. We show that this fuzziness is multihierarchical (namely, it is regarded as omega-order vagueness) and it is constructed in the framework of the… CONTINUE READING