Chapter

Fuzzy Sets and Their Extensions: Representation, Aggregation and Models

Volume 220 of the series Studies in Fuzziness and Soft Computing pp 335-355

Atanassov’s Intuitionistic Fuzzy Sets as a Promising Tool for Extended Fuzzy Decision Making Models

  • Eulalia Szmidt
  • , Janusz Kacprzyk

Abstract

Since decision making is omnipresent in any human activity, it is quite clear that not much later after the concept of a fuzzy set was introduced as a tool for a description and handling of imprecise concepts, a next rational step was an attempt to devise a general framework for dealing with decision making under fuzziness. Since intuitionistic fuzzy sets (in the sense of Atanassov, to be called A-IFSs, for short) provide a richer apparatus to grasp imprecision than the conventional fuzzy sets, they seem to be a promising tool for extended decision making models. We will present some of the extended models and try to show why A-IFSs make it possible to avoid some more common cognitive biases, the decision makers are prone to do, which call into question the correctness of a decision.