Rankings of multi-aspect fuzzy sets in modelling the decision support systems

Abstract

The paper presents a method of constructing rankings of fuzzy sets, in particular multi-aspect fuzzy sets. A new class of global membership functions based on the generalized Minkowski norm has been defined. Due to their properties, they can be an alternative to classical product functions. These functions can be used to construct rankings of multi-aspect fuzzy sets, which are an important element of decision support systems. The concepts presented in this paper are illustrated with a numerical example from the area of support of diagnostic decisions based on multi-aspect fuzzy sets.