The spectral theory of graphs at researches of fuzzy models of the determined regular structures of network information systems

Abstract

Abstract Operation is devoted the decision of the task increase of structural stability and information efficiency of network information systems on the basis of mathematical apparatus of the theory of fuzzy sets and the spectral theory of graphs. For this purpose introduction of two variants fuzzy structural (channel and nodal) is offered to redundancy of the determined regular topology of network information systems. Functions of an accessory of separate structural elements to which in correspondence the modes of an information exchange which are representing itself as requirements to structural characteristics of system are defined. Analytical and imitative modeling for research of influence fuzzy redundancy on the main structural parameters of the determined topology and estimation of information efficiency of the received structures of network information systems is conducted. Results of modeling showed perspectivity of the offered approach at implementation of structural adaptation of systems to changing conditions of an information exchange.