Nowadays the decision-making seems as a very advanced science with fully developed mathematical tools. Unfortunately, just this circumstance "very complicated mathematical tools" is the main obstacle on the way of penetration modern scientific methods in decisionmaking practice. The aim of this article is to present on the base enough simple example the practical possibilities of a theory in a manner that perhaps seems as not very traditional, but seems more transparent and easy for persons that having need to under-take some multiobjective decisions. The main problems in formalization of decision-making process are: - existence of quantitative parameters that tan be measured by the some ways (for exam-ple, financial parameters) and qualitative parameters represented on the only verbal level (by the words). The qualitative parameters often play main role in process of decision-making; - different scales of measurements - it is known that particle criterion may refer to the dif-ferent spheres and often may be measured in incomparable units; - multiobjectivity - existence of many criteria, variables and so on, which have influence on process of decision. It is known that possibilities of a person to undertake the reasonable decisions on base of many criterions are very limited; - non-equivalence - problem of weighing (ranking) of particle criteria; - multilevel - this problem appear when each new level is based on group of parameters of lower level. The problems described above are solved by means of enough exact and of modern mathematical methods and illustrated by the concrete task of choosing the best investment project.
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