Selection of Components of a Composite Material Under Fuzzy Information Conditions
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.
Keywords
Problem of choice Intellectual system Mathematical programming Software Modeling Fuzzy numbers Optimization Composite material Decision makingNotes
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”.
References
- 1.Tager, A.A.: Physical Chemistry of Polymers. Scientific World, Moscow (2007)Google Scholar
- 2.Askadskii, A.A., Matveyev, Y.I.: Chemical Structure and Physical Properties of Polymers. Chemistry, Moscow (1983)Google Scholar
- 3.Kryzhanovsky, V.K.: Engineering Choice and Identification of Plastics: Study Guide. Scientific Fundamentals and Technologies, Saint-Petersburg (2009)Google Scholar
- 4.Askadskii, A.A., Khokhlov, A.R.: Introduction to the Physics and Chemistry of Polymers. Scientific World, Moscow (2009)Google Scholar
- 5.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)Google Scholar
- 6.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)Google Scholar
- 7.Bobryshev, A.N., Erofeev, V.T., Kozomazov, V.N.: Polymer Composite Materials: A Tutorial. ASV, Moscow (2013)Google Scholar
- 8.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)Google Scholar
- 9.Askadskii, A.A.: Computational Materials Science of Polymers. Cambridge International Science Publishing, Cambridge (2001)Google Scholar
- 10.Goldman, A.Y.: Prediction of Deformation and Strength Properties of Polymeric and Composite Materials. Chemistry: Leningrad Branch, Leningrad (1988)Google Scholar
- 11.Kerber, M.L.: Polymeric Composite Materials: Structure, Properties, Technology. TSOP Professiya, Saint-Petersburg (2014)Google Scholar
- 12.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)Google Scholar
- 13.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)Google Scholar
- 14.Masterbatches for Plastics. http://www.globalcolors.ru/superkoncentraty-masterbatch/. Accessed 10 Aug 2019
- 15.Zweifel, H., Maer, R.D., Schiller, M.: Polymer Additives. Handbook Professiya, Saint-Petersburg (2010)Google Scholar
- 16.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)Google Scholar
- 17.Bazhenov, S.L., Berlin, A.A., Kulkov, A.A., Oshmyan, V.G.: Polymer composite. In: Materials Durability and Technology. Publisher Intellect, Moscow (2009)Google Scholar
- 18.Polymer Processing Technology: Physical and Chemical Processes: Study Guide for Universities. Publisher Yurayt, Moscow (2018)Google Scholar
- 19.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)Google Scholar
- 20.Germashev, I.V., Derbisher, V.E.: Properties of unimodal membership functions in operations with fuzzy sets. Russ. Math. 51(3), 72–75 (2007)MathSciNetCrossRefGoogle Scholar
- 21.Rothlauf, F.: Optimization methods. In: Design of Modern Heuristics. Natural Computing Series. Springer, Berlin, Heidelberg (2011)Google Scholar