Methods of Obtaining Z-solutions of a Multi-criterial Problem

Abstract

In this paper, considered approaches to obtaining Z-solutions of a multicriterial problem to obtain a sustainable solution it is desirable to have additional a priori information on the degree of preference for a particular goal, which is specified by various fuzzy operators. A set of fuzzy sets corresponding to various properties of the object of investigation, in particular, qualitative (linguistic) and quantitative information about the characteristics of the object is determined. Proposed the Z-numbers approach to the prediction problem as a multicriterial problem, which reduces to some combination of fuzzy selection criteria, and to the study of complex systems as a hierarchical structure, since in order to obtain a scientifically based forecast, it is often necessary to attract information from social and natural sciences, in which the apparatus of fuzzy sets and Z-numbers is also preferable.