RATING AND CONTROL OF COMPLEX OBJECTS IN UNCERTAINTY CASES

Abstract

Statement of the rating and control of complex objects problem under uncertainty is formulated. Seven methods are presented for assessing the state of individual properties of a complex object, designed for various conditions of uncertainty. The source of uncertainty can serve as objective tools of control, that is, estimates of particular properties of an object can be either exact values ​​on a set of real numbers or interval estimates, in addition to this, the state of individual properties can have a probability distribution about the possible state of an object. The qualitatively described properties of an object are subject to uncertainty, the source of which is the subjectivity of the judgments of experts involved in their evaluation. It is important that experts can also evaluate quantitative indicators, for example, in cases where the tools of objective control are not available, that is, subjective input methods are applicable not only to qualitative indicators, but also quantitative ones. In order to aggregate information about private properties, it is proposed to use the matrix mechanisms of complex assessment that are known and obtained by the author. The defined matrix mechanisms of complex evaluation are as follows: the tree fuzzy rating mechanism with an additive-multiplicative approach and two max-min approaches to set theoretic operations, as well as two continuous complex evaluation mechanisms. Six model examples demonstrate procedures of aggregating two criteria with accurate real values, as well as with different uncertainty such as interval values, fuzzy values and F-Fuzzy values.