Fuzzy Set Theory — and Inference Mechanism

  • H.-J. Zinmermann
Conference paper
Part of the NATO ASI Series book series (volume 48)

Abstract

Most of our traditional tools for formal modelling, reasoning, and computing are crisp, deterministic and precise in character. By crisp we mean dichotomous, that is, of yes-or-no-type rather than more-or-less type. In conventional dual logic, for instance, a statement can be true or false—and nothing in between. In set theory an element can either belong to a set or not, and in optimization a solution is either feasible or not. Precision assumes that the parameters of a model represent exactly either our perception of the phenomenon modelled or the features of the real system that has been modelled. Generally precision also implies that the model is unequivocal, that is , that it contains no ambiguities.

Keywords

Poss 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • H.-J. Zinmermann
    • 1
  1. 1.RWTH AachenAachenThe Federal of Republic

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