Axioms, Vol. 12, Pages 193: A Nonparametric Dual Control Algorithm of Multidimensional Objects with Interval-Valued Observations

Axioms, Vol. 12, Pages 193: A Nonparametric Dual Control Algorithm of Multidimensional Objects with Interval-Valued Observations

Axioms doi: 10.3390/axioms12020193

Authors: Manuel Arana-Jiménez Alexander V. Medvedev Ekaterina Chzhan

We focus on the dual interval control problem of multidimensional objects with delay. We propose a new nonparametric algorithm. In such a case, it is not necessary to determine a parametric structure of the investigated object. Another difficulty lies in the complex nature of the decision-making field as it might not be flexible or convenient for decision-makers to exactly quantify their opinions with crisp numbers. Due to this fact, we introduce the interval-valued observations into the algorithm by means of the single-level constraint interval arithmetic. The results of computational experiments illustrate the effectiveness of the algorithm in the case of using intervals instead of crisp values.