Algorithmization of Procedures for Coordination Individual Opinions in the Process of Implementation Organizational and Managerial Labor Relations

Abstract

The methods of making a collective decision and choosing group matching procedures are analyzed. It is assumed that the methods of evaluation are given in the scales of qualitative order, including the binary relations of alternatives. The analysis of group selection procedures in the management of complex systems is carried out. The necessary preliminary conditions for the construction of mathematical models of group choice in the management of complex systems are systematized. The sequence of solving the problem is to analyze the conditions for the harmonization of the rules of group choice, requirements and serial relations, from the point of view of reasonableness in a group choice, algorithmization of procedures for the coordination of individual opinions. The development of mathematical models of formation of group decisions in different classes of relations is proposed. This pursued the goal of providing the «subtleties» of group choices. As rules of outgoing (basic) rules, rules of the type of majority apply. Repeated appeal to individuals involves clarifying their thoughts on the alternatives included in the group of the best. As a result, majoritarian relations were obtained and their generalizations, which express the general opinion of the whole group of experts. The formalization of interactive procedures for consistently obtaining the group consensus of expert opinions provided that the relations are transitive, including feedback on the convergence of opinions. The selectivity of the choice function is achieved by expanding the structure of the family of solving sets. The result of this formalization is the refinement of expert opinions on the alternatives included in the group of the best, but with a minimum number of votes. This formalization creates the necessary conditions for the processing of results in decision support information systems. Algorithmization of procedures for coordinating individual thoughts in the management of publishing. The proposed algorithm allows to account for the initial opinions of all experts and customers of the publishing house in the form of a profile of individual selection functions. As a result, a sequence of steps has been formed to reconcile individual thoughts in the management of publishing.