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ABOUT INSTABILITY OF NORMALIZATION CRITERIA METHOD
Naumov Anatoly Aleksanrovich1, Bazhenov Ruslan Ivanovich2
1Center of Applied Mathematical Research, Novosibirsk, PhD, associate professor
2Sholom-Aleichem Priamursky State University, candidate of pedagogical sciences, associate professor, Head of the Department of Computer Science
1Center of Applied Mathematical Research, Novosibirsk, PhD, associate professor
2Sholom-Aleichem Priamursky State University, candidate of pedagogical sciences, associate professor, Head of the Department of Computer Science
Abstract
The paper presents the results of a study of multi-criteria decision problems found by the normalization criteria method (NCM). It is shown that the NCM-method finds solutions that depend on the constraints that do not form a Pareto-set of the problem. This property distinguishes the NCM-method in a number of multi-objective optimization methods. In solving of many real optimization problems (and economic as a particular) their multicriteriality is a characteristic feature of them. Therefore the above-noted property of solutions instability moves to the conclusion that the choice of solutions method for problems of this class should be done carefully.
Keywords: linear programming problems, multicriteria problems, normalization criteria method, sustainability solutions
Category: 05.00.00 Technical sciences
Article reference:
About instability of normalization criteria method // Modern scientific researches and innovations. 2014. № 11. P. 1 [Electronic journal]. URL: https://web.snauka.ru/en/issues/2014/11/40408
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