Algorithm for Solving Multicriteria Problem of Choice of Banknote Deterioration Characteristics Using the Utility Function

Abstract

The utility functions of alternatives based on additive, multiplicative, additive-multiplicative and entropy convolutions of factors as well as metrics of Chebyshev, Euclid, Minkowski and the method of deviation from the sample have been formed taking into account separation of factors for stimulators and destimulators. The algorithm of the determination of alternatives' preferences was developed on base utility function. The developed algorithm is implemented for solving of multicriteria problem of choice the most accurate characteristic of deterioration for banknotes in real circulation. It was found that the most accurate characteristic suitable for a reliable banknote sorting is a mass. All proposed methods of formation of the utility function have a high accuracy of the alternatives' preferences determination within the range of individual criteria and criteria weights typical for printing production. The least standard deviations are demonstrated by utility functions that are based on the Euclidean and Minkowski metrics and the multiplicative and additive – multiplicative convolution of criteria.