Multi-aspect fuzzy sets in modelling the decision support systems

Abstract

The paper presents the new mathematical modelling concept using the so-called multi-aspect fuzzy sets. The paper contains definitions of the most important characteristics of multi-aspect fuzzy sets in the context of their application in decision support algorithms. These include characteristics such as the image of the multi-aspect fuzzy set, the carrier and core, the bottom and top fronts of the fuzzy set, and many other characteristics derived from multi-criteria optimization. These concepts are illustrated with numerical examples.