Multi Criteria Decision Making in Crisp and Fuzzy Environments

  • H.-J. Zimmermann
Part of the NATO ASI Series book series (ASIC, volume 177)


Decision making when more than one evaluation scheme exists has become a major concern of scientists and decision analysts during the last decade. In the numerous models and methods suggested in the literature in this area it is, however, assumed that the criteria as well as the solution psace can be crisply defined. It will be shown how these problems can be solved if either criteria or solution spaces or both are fuzzy. In addition approaches will be presented in which crisp multi criteria problems can be solved efficiently by applying fuzzy set theory.


Membership Function Triangular Fuzzy Number Decision Alternative Aspiration Level Fuzzy Environment 
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

© D. Reidel Publishing Company 1986

Authors and Affiliations

  • H.-J. Zimmermann
    • 1
  1. 1.Chair of Operations ResearchInstitute of TechnologyAachenGermany

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