Selection of Components of a Composite Material Under Fuzzy Information Conditions

  • I. V. GermashevEmail author
  • M. A. Kharitonov
  • E. V. Derbisher
  • V. E. Derbisher
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 259)


The task of selecting components of a composite material from an indefinite set in the system “polymer matrix + filler + ingredients” is considered. The initial information is fuzzy, therefore the formalization of the initial data and further analysis were carried out using fuzzy numbers. At the first stage, a parametric space is formed, describing the composite material as a multicomponent physical system. Then, the index of compliance of each system parameter with the specified physicomechanical requirements was calculated, which made it possible to go over to the relative dimensionless real values characterizing each component of the composite material. The standard weighted voting procedure was used as an aggregate function. The obtained numerical values reflect an integral measure of the conformity of the ingredient as a component of the designed composite material. The results of theoretical analysis expand and complement the mathematic support of profiled intelligent decision support systems in the scientific and technical activities of the constructor and technologist when modeling technical objects in conditions of uncertainties, including linguistic ones. The chapter provides a general and particular solution.


Problem of choice Intellectual system Mathematical programming Software Modeling Fuzzy numbers Optimization Composite material Decision making 



The reported research was funded by Russian Foundation for Basic Research and the government of Volgograd region, grant no. 18-48-340011 “Quality management of polymer products based on the optimization of formulation of composite materials”.


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Authors and Affiliations

  1. 1.Volgograd State UniversityVolgogradRussia
  2. 2.Volgograd State Technical UniversityVolgogradRussia

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