Decision Making in Ill-Structured Environments and with Multiple Criteria

  • Hans-Jürgen Zimmermann


In Multi Criteria Decision Making one is generally concerned with decisions under certainty, i. e. decisions for which the “state” is assumed to be known with certainty. Multi Criteria Decision Making under risk or uncertainty would imply the super-imposition of the problem structures of classical MCDM and that of single criteria decision making under risk, i. e., for instance, the combinations of goal programming with stochastic programming. This would, obviously, become very involved mathematically! In this paper we are not concerned with uncertainties (probabilities) of the Kolmogroroff type but rather with uncertainties as they are considered in the theory of fuzzy sets, possibility theory and the like. It will be shown that for this type of uncertainty (vagueness) which is assumed to be more relevant for MCDM, models and methods exist, which are also adequate for MCDM and which are computationally still feasable.


Membership Function Fuzzy Number Triangular Fuzzy Number Fuzzy Environment Fuzzy Goal 
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 1990

Authors and Affiliations

  • Hans-Jürgen Zimmermann
    • 1
  1. 1.Institute of TechnologyR.W.T.H. AachenAachenGermany

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