Stationary Algorithmic Model of Social Relations
Keywords:
category, object, morphism, algorithmAbstract
In the article have been proposed a mathematical model of society as categories, which objects are the people, and morphisms is relations between them. The article's algorithms make possible to uniquely decompose a society to separate stratums, to choose a social influential members totality, to calculate influence kernel. For all developed algorithms the program realizations are created which can be applied for a solution of the customer problems. The offered algorithms are applied only to democratic society.
References
Arrow K. J. Social Choice and Individual Values. - Wiley, New York, 1963.
Hrycak V.V. Applications of Combinatorial Manifolds for Mathematical Physics and Quantum Logics Problems. - Preprint IK86-14, Kyjiv, 1986, 52 p.
Hrycak V.V. Logic and Categorical Theory of Natural Science .-Kyjiv.-SVITOZIR-ACADEMIA, 1995, 322 p.
Hrycak V.V. Some Combinatorial Multicriterial Problems. – Dopovidi UAS, Ser. A., №3, 1983.
Roberts F.S. Measurement Theory with Applications to Decisionmaking, Utility, and the Social Sciences. - Addison-Wesley Publishing Company, 1979, 420 p.
Roberts F.S. (ed.). Applications of Combinatorics and Graph Theory in the Biological and Social Sciences. // Vol. 17 of IMA Volumes in Mathematics and its Applications, Springer-Verlag, New York, 1989.