Encyclopedia of Database Systems

2018 Edition
| Editors: Ling Liu, M. Tamer Özsu

Fuzzy Set Approach

  • Vilém Novák
Reference work entry
DOI: https://doi.org/10.1007/978-1-4614-8265-9_564

Synonyms

Fuzzy MCDM; Fuzzy multicriteria decision-making

Definition

By multicriteria decision-making, we understand choosing the best alternative ai taken from a set A = {a1, …, an} according to m criteria G1, …, Gm. In classical theory, it is assumed that the criteria can be characterized precisely, and so, it is possible to decide unambiguously whether each alternative fulfills the given criterion or not. However, this is rarely the case in practice, and so, the fuzzy set approach has been proposed which makes it possible to assume that the criteria can be evaluated imprecisely, for example, “high quality, low reliability, very low weight,” etc. Unlike classical approach which first removes imprecision and then constructs a decision model, the fuzzy set approach removes imprecision only at the very end, if necessary.

The basic concepts of fuzzy decision-making are the following:
  1. 1.

    Decision based on the imprecisely defined set of alternatives, i.e., a fuzzy set of alternatives. This...

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Institute for Research and Applications of Fuzzy ModelingUniversity of OstravaOstravaCzech Republic