General aggregation operators acting on the L-fuzzy real line

Abstract

The paper is devoted to a general aggregation operator acting on L-fuzzy real numbers. It is defined as a t-norm based extension of an ordinary aggregation operator. The aim of our research is to analyze properties of the general aggregation operator depending on properties of the ordinary aggregation operator and the t-norm. By using the general aggregation operator we consider the properties of tnorm based operations with L-fuzzy real numbers such as addition, maximum, minimum.