Logical and Algebraical Models of the Networks of Activities

Abstract

All, good and bad, achievements of human civilization can be considered as the results of less or more organized, sometimes mutually-crossed, individual human activities. Reaching a desired aim as a result of a set of organized actions is one of the most important practical problems. By no doubt, good organization in the domain of political, military and economical affairs, in science, technology, public health, education, etc. if does not make a success directly, makes failing less probable. The problem of good organization of human activities seems also interesting from a theoretical point of view. It can be considered as a part of cybernetics related to several other disciplines: economy, technology, logics and applied mathematics, operations research, etc. Due to the uncertainty of external factors acting on the human beings and to the compositeness of the human reactions on them the problem seems also extremely difficult for investigations. Maybe, this difficulty explains why for many years the theory of organization avoided using more advanced mathematical tools.