Quasi-arithmetic means of continuous functions

Weighted Quasi-Arithmetic Means: Utility Functions and Weighting Functions

Some Results on Lipschitz Quasi-Arithmetic Means

We present in this paper some properties of k-Lipschitz quasi-arithmetic means. The Lipschitz aggregation operations are stable with respect to input inaccuracies, what is a very important property for applications. Moreover, we provide sufficient conditions to determine when a quasi–arithemetic mean holds the k-Lipschitz property and allow us to calculate the Lipschitz constant k. Keywords— k-...

A New Approach for Ranking of Fuzzy numbers With Continuous Weighted Quasi-Arithmetic Means

Many ranking methods have been proposed so far. The fuzzy number defuzzification method with continuous weighted quasi-arithmetic means was proposed by Yoshida in the domain (−∞,+∞) . Recently in [22], the researcher used this method with the ordinary fuzzy set in a compact interval, that all the conclusions can be extended to the ordinary fuzzy set in [24] directly. This parameterized defuzzif...

Averages of Quasi-continuous Functions

The goal of this paper is to characterize the family of averages of comparable (Darboux) quasi-continuous functions.

Quasi-arithmetic means of covariance functions with potential applications to space-time data

The theory of quasi-arithmetic means is a powerful tool in the study of covariance functions across space-time. In the present study we use quasiarithmetic functionals to make inferences about the permissibility of averages of functions that are not, in general, permissible covariance functions. This is the case, e.g., of the geometric and harmonic averages, for which we obtain permissibility c...