Construction of Measure-Type Functions Using Aggregation Functions

This paper presents the construction of a new measuretype functions of a certain type, by applying aggregation functions on the initial sequence of measure-type functions of the same type. The measure-type functions considered in this paper are distance functions, metrics, fuzzy metrics, and fuzzy measures. The properties of the constructed new measure-type functions depend on the properties of applied aggregation functions, as well as the properties of the initial functions on which the aggregation function is applied.