Attention is paid to the fact that in order to make reasonable decisions, it is necessary to rely on the experience, knowledge and specialistsʼ intuition. A large number of methods for obtaining expert assessments, has been noted. The methods of examination are also differ, in some of them work is being done separately with the expert, in others the problem is being discussed collectively, opinion of other experts is being studied, incorrect ways of decision are being rejected. It is also emphasized that there is diversity at all stages of the examination: formation of the group by number, qualifications of experts. Using of statistical data processing also differs significantly, from mathematical to computerized. The main methods and stages of expert evaluation have been given. Emphasis is being placed on assessments, their classification according to various criteria and characteristics. Conditions for measuring of qualitative and quantitative characteristics and the main requirements for them are being indicated. Attention is being paid to the conditions of using of the interval scale and the order scale. The methodology of expertsʼ work in case of definition of probabilistic expert estimations is being described. Peculiarities of using the methods which are most often used in practice have being described, among which are method of academician V. Glushkova, morphological method, QUEST, PATTERN, SEER methods and Delphi method. A combined method of examination at enterprises with specific working conditions is being proposed. The algorithm of examination has been developed and the main stages of examination, and functions of the persons which are taking part in examination have been olefined. The main requirements to the automated expert system have been highlighted