DECISION-MAKING SOFTWARE IMPLEMENTATION USING HIERARCHY ANALYSIS METHOD

The purpose of the work is to select an optimal decision-making method under various conditions and software implementation of the method. The set purpose is achieved through the use of a comparative analysis of decision-making methods including the hierarchy analysis method, Delphi method and brainstorm method. It was required to find a universal method of decision-making with the possibility to generalize the opinions of independent experts identifying contradictions in judgments and taking into account the influence of the "human factor". The conducted analysis allowed to identify and summarize the advantages and disadvantages of each method. The "Brainstorm" method meets all the requirements least of all due to the large influence of external and internal factors on expert decisions. The optimal decision-making method that meets most of the requirements is recognized to be the hierarchy analysis method. The uniqueness of the method is determined by the fact that it is both qualitative and quantitative, it is confirmed theoretically and practically, it is suitable for solving both simple and complex problems and takes into account the "human factor". The hierarchy analysis method is justified axiomatically and is confirmed by the necessary and sufficient number of theorems that transform it into a mathematically grounded approach for obtaining the scales of preferences in solving complex and important problems. This paper gives a mathematical description of the hierarchy analysis method and the stages of its software implementation. The mathematical apparatus of the hierarchy analysis method allows to decompose the investigated problem into components, sort them into levels, as well as logically order the judgments (parameters are compared in pairs with determining the preference degree of one parameter over another) and give them a quantitative evaluation in the form of a response that represents a set of priorities for the relative importance of alternatives.

hierarchy analysis method, decision-making, expert, expert evaluation, Delphi method, brainstorming, scale of relative importance

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