Dmitry P. Burakov

Saint Petersburg Transport State University

The article presents programs that implement original approaches to group expert rating estimation and fuzzy inference. They implement probabilistic models based on Bayes’ Formula, previously proposed and published in the works of the authors. In these models, the estimated input data are interpreted as evidence in favor of one or another hypothesi...

The article presents a multilayer structure of a neurofuzzy network based on the Bayesian logicalprobabilistic model of fuzzy inference, previously proposed, researched and implemented by the authors. A brief description of the Bayesian logicalprobabilistic model is given, an example of setting up a neurofuzzy network for solving a fuzzy inference...

In the paper, an approach for estimation of objects relative to specified target that was proposed by Wierzbicki A. P. is analyzed. It is asserted that this approach does not contradict with using utility (value) functions and weight coefficients at generalizing function for solving the same task. This assertion is justified by a mutual inverse rel...

In the article, the possibilities of using neural networks constructed on neurons with an activation function based on the Bayes' theorem for intelligent processing of measurement results are discussed. In the authoring Bayesian model of a neuron, the weight vector is used as a reference pattern, the input signals of the neuron are interpreted as e...

The recommendations on the application of methods of multidimensional estimation (MDE) of objects, proposed in the paper Velasquez M., Hester P.T. «An Analysis of Multi-Criteria Decision Making Methods», are analyzed. The weak substantiation of these recommendations, resulting from the superficial systematization of MDE methods, is noted. The recom...

In the paper, an original way to implement the fuzzy inference systems is considered. The proposed fuzzy inference model is based on usage of conjunction of probabilistic logic and Bayes’ formula at inference stage. For that preconditions of all the specified fuzzy production rules are transformed to the set of probabilistic functions. As the input...

In the article, the method of staged clarification of a choice model depending on decision maker’ (DM) preferences is proposed. The method consists of several stages. At the first stage, the DM specifies an alternative that is best by its opinion. This information is used to detect a set of criteria defining the Pareto set that includes the specifi...