Subject of research: the formation of an alternative opinion in coalitions of highly qualified specialists. Purpose of research: development of a numerical method for the formation of an alternative opinion in coalitions of highly qualified specialists using a relative utility indicator and its subsequent implementation in the form of a computer program. Methods of research: survey, formalization, system analysis, correlation analysis, Hamming criterion, natural experiment, object-oriented programming. Main results of research: 1. The approach proposed by the author, based on combining methods of mathematical statistics and taking into account the individual competencies of experts, provides new opportunities for the formation of an alternative opinion in coalitions of experts and allows for increased efficiency in decision-making. 2. Verification of the developed numerical method was carried out using the example of a survey of police officers regarding violators of security systems in the field of critical information infrastructure. 3. A computer program has been developed that implements the created method. 4. The study revealed that the relative usefulness indicator of the j-th expert provides an opportunity to form alternative expert positions that have a reliable generalized opinion. 5. The practical significance of the work lies in the development of a computer program that can be used to conduct expert surveys and obtain reliable expert assessments based on them.