ПАРАМЕТРИЧЕСКИЙ МЕТОД РАСЧЕТА ТРЕУГОЛЬНЫХ ВЕСОВЫХ КОЭФФИЦИЕНТОВ В МАТРИЦЕ ПОПАРНЫХ СРАВНЕНИЙ

Abstract

The article deals with development of the method for calculation of triangular weight coefficients in fuzzy problem of decision making. The study objective is to improve the accuracy of triangular weight coefficient determination. In order to achieve the above-mentioned objective, a set of methods of scientific and empirical investigation: analysis and splitting of the problem into two tasks, methods of mathematical programming and fuzzy logic, method of comparison. The required weight coefficients are represented in a parametrical form with unlike fuzzy parameters which allowed for two tasks to be separated and formalized: determination of modal values and the task to determine fuzziness parameters. Both tasks have been formulated in terms of non-linear mathematical programming. The proposed method differs from the known ones by using the parameters of triangular numbers fuzziness as optimized variables which are assumed to be different for the left and right borders in all weight coefficients.
 The proposed approach allowed for the accuracy of weight coefficients to be improved. The accuracy validation was conducted comparing with the known LLSM method on two matrices. The calculations have demonstrated that the integral absolute error of the proposed method more than twice smaller than that of the know method for each of the matrices.