Least Squares in a Data Fusion Scenario via Aggregation Operators
Gildson Queiroz de Jesus,
Eduardo Silva Palmeira
Affiliations
Gildson Queiroz de Jesus
Postgraduate Program in Science and Technology Computational Modeling (PPGMC), Department of Exact Science and Technology (DCET), State University of Santa Cruz (UESC), Ilhéus 45662-900, BA, Brazil
Eduardo Silva Palmeira
Postgraduate Program in Science and Technology Computational Modeling (PPGMC), Department of Exact Science and Technology (DCET), State University of Santa Cruz (UESC), Ilhéus 45662-900, BA, Brazil
In this paper, appropriate least-squares methods were developed to operate in data fusion scenarios. These methods generate optimal estimates by combining measurements from a finite collection of samples. The aggregation operators of the average type, namely, ordered weighted averaging (OWA), Choquet integral, and mixture operators, were applied to formulate the optimization problem. Numerical examples about fitting curves to a given set of points are provided to show the effectiveness of the proposed algorithms.
