Abstract
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.
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References
Tager, A.A.: Physical Chemistry of Polymers. Scientific World, Moscow (2007)
Askadskii, A.A., Matveyev, Y.I.: Chemical Structure and Physical Properties of Polymers. Chemistry, Moscow (1983)
Kryzhanovsky, V.K.: Engineering Choice and Identification of Plastics: Study Guide. Scientific Fundamentals and Technologies, Saint-Petersburg (2009)
Askadskii, A.A., Khokhlov, A.R.: Introduction to the Physics and Chemistry of Polymers. Scientific World, Moscow (2009)
Gudkov, M.A., Bokadarov, S.A.: Identification of the interaction of a polymer and a filler by the method of discriminant analysis. Inter. Sci. Herald Bull. Assoc. Orthodox Sci. 3(7), 44–46 (2015)
Vakulov, N.V., et al.: Prediction of the service life of rubber and rubber products with the help of calculation programs in the MatLab system. In: Rubber Industry: Raw Materials, Materials, Technology, pp. 169–172 (2017)
Bobryshev, A.N., Erofeev, V.T., Kozomazov, V.N.: Polymer Composite Materials: A Tutorial. ASV, Moscow (2013)
Sokolov, D.V., Nilov, D.Y., Smolyakov, V.M.: Adaptive schemes and topological indices in predicting the properties of polymers. Phys. Chem. Polym. Synth. Prop. Appl. 11, 141–144 (2005)
Askadskii, A.A.: Computational Materials Science of Polymers. Cambridge International Science Publishing, Cambridge (2001)
Goldman, A.Y.: Prediction of Deformation and Strength Properties of Polymeric and Composite Materials. Chemistry: Leningrad Branch, Leningrad (1988)
Kerber, M.L.: Polymeric Composite Materials: Structure, Properties, Technology. TSOP Professiya, Saint-Petersburg (2014)
Germashev, I.V., Derbisher, V.E., Zotov, Y.L., Tsapleva, M.N., Konnova, E.V., Vasiliev, P.M.: Computer-aided designing of active additives for polyvinyl chloride. Plasticheskie Massy Sintez Svojstva Pererabotka Primenenie 7, 36–38 (2001)
Petrov, O.O., Mun’kin, N.I., Ganiev, E.Sh., Simonov-Emelyanov, I.D., Prokopov, N.I., Gervald, A.Y.: Comprehensive evaluation of the characteristics of superconcentrates for dyeing rigid PVC compositions in the process of high-speed extrusion. In: Lomonosov, M. V. (ed.). Herald of MITHT 7(6), 78–82 (2012)
Masterbatches for Plastics. http://www.globalcolors.ru/superkoncentraty-masterbatch/. Accessed 10 Aug 2019
Zweifel, H., Maer, R.D., Schiller, M.: Polymer Additives. Handbook Professiya, Saint-Petersburg (2010)
Glukhikh, V.V., Mukhin, N.M., Shkuro, A.E., Buryndin, V.G.: Production and Use of Products from Wood-Polymer Composites with Thermoplastic Polymer Matrices: Study Guide. UGLTU, Yekaterinburg (2014)
Bazhenov, S.L., Berlin, A.A., Kulkov, A.A., Oshmyan, V.G.: Polymer composite. In: Materials Durability and Technology. Publisher Intellect, Moscow (2009)
Polymer Processing Technology: Physical and Chemical Processes: Study Guide for Universities. Publisher Yurayt, Moscow (2018)
Germashev, I.V., Derbisher, V.E., Losev, A.G.: Analysis and Identification of the Properties of Complex Systems in the Natural Sciences. Publisher Volgograd State University, Volgograd (2018)
Germashev, I.V., Derbisher, V.E.: Properties of unimodal membership functions in operations with fuzzy sets. Russ. Math. 51(3), 72–75 (2007)
Rothlauf, F.: Optimization methods. In: Design of Modern Heuristics. Natural Computing Series. Springer, Berlin, Heidelberg (2011)
Acknowledgements
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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Germashev, I.V., Kharitonov, M.A., Derbisher, E.V., Derbisher, V.E. (2020). Selection of Components of a Composite Material Under Fuzzy Information Conditions. In: Kravets, A., Bolshakov, A., Shcherbakov, M. (eds) Cyber-Physical Systems: Advances in Design & Modelling. Studies in Systems, Decision and Control, vol 259. Springer, Cham. https://doi.org/10.1007/978-3-030-32579-4_17
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