articles

In business process management, semi-structured or unstructured tasks are very common. The predominance of qualitative estimates of the parameters of such problems leads to the fact that the initial requirements for the selection of appropriate information technologies can be formulated primarily at a qualitative level. In this situation, estimates in the form of linguistic statements formalized by fuzzy sets can be quite informative. Uncertainty in the initial data, the presence of several alternative solutions make it possible to formalize the problem of choosing information technology for solving semi-structured business problems as a game with nature, which is understood as a certain combination of conditions, for example, the number of users and the intensity of their requests, assessed by fuzzy, linguistic statements. The aim of the proposed work is to develop a method for finding the most appropriate solution in conditions of indistinctness of the initial data that determine the choice on a variety of possible alternative information technologies. The proposed method for finding the best solution differs in that all the necessary initial estimates are set in the form of linguistic statements formalized by fuzzy sets, while the influence of fuzzy values of the probabilities of states of nature is taken into account through point estimates of fuzzy sets formalizing these values, and an integral estimate of possible solutions is obtained by transformation of the original fuzzy estimates of alternative solutions into the form of equivalent triangular fuzzy sets. In addition, the proposed method makes it possible to use various types of membership functions of fuzzy sets that formalize these estimates when setting fuzzy initial estimates for solving the problem, as well as to simplify the comparison of integral estimates of possible alternative solutions obtained in the form of fuzzy sets.