Harmonic Mean Operators for Aggregating Linguistic Information

Abstract

Harmonic mean is widely used to aggregate central tendency data, which is usually expressed in exact numerical values. In this paper, we investigate the situations where the input data are given in the form of linguistic labels, and develop some linguistic harmonic mean aggregation operators, such as the linguistic weighted harmonic mean (LWHM) operator, the linguistic ordered weighted harmonic mean (LOWHM) operator, and the linguistic hybrid harmonic mean (LHHM) operator for aggregating linguistic information. Some examples are given to illustrate the developed operators.