The model of projection of a fuzzy individual professional educational trajectory

The article suggested considering certain components of the professional competence as fuzzy sets and strictly the professional competence as a universal fuzzy set. A model of the projection of a fuzzy individual professional educational trajectory (FIPET) on the basis of modalities is “essentially” and “possibly” presented. The mathematical solution to the problem of the optimum choice of courses of the career enhancement on the basis of the expert estimation of the level of professional competence and one’s own preferences of a trainee is proposed.

REFERENCES:

• Altunin, A.E., Semuhin, M.V. (2000) Models and algorithms of decision-making in fuzzy conditions Modeli i algoritmy prinjatija reshenij v nechetkih uslovijah: Monografija. Tjumen‘: Izdatel‘stvo Tjumenskogo gosudarstvennogo universiteta.
• Astanin, S.V. (2000) Supplementation of an educational process on the basis of fuzzy modeling Soprovozhdenie processa obuchenija na osnove nechetkogo modelirovanija. In: Distancionnoe obrazovanie, 5, 27-32.
• Babuska, R. (1998). Fuzzy modeling for control. Kluwer Academic Publishers.
• Bljumin, L.S., Shujkova, S.A. (2001) Models and methods of decision-making in terms of uncertainty. Modeli i metody prinjatija reshenij v uslovijah neopredelennosti. Lipeck: LJeGI.
• Borisov A.N., Krumberg O.A., Fedorov I.P. (1990) Decision-making on the basis of fuzzy models: examples of implementation. Prinjatie reshenij na osnove nechetkih modelej: Primery ispol’zovanija. Riga: Zinatne.
• Gavrilova, M.A. (2012) Formation and development of professional competences of mathematics teachers in the system of continuous pedagogical education. Stanovlenie i razvitie professional’noj kompetentnosti pedagogov-matematikov v sisteme nepreryvnogo pedagogicheskogo obrazovanija: avtoref. dis. … d-r ped. nauk: 13.00.08.-Moscow.
• Grebnev, I.V. (2007) Theoretical basics of teacher methodological competence development. Teoreticheskie osnovanija razvitija metodicheskoj kompetentnosti uchitelja. In: Vestnik Nizhegorodskogo universiteta imeni N. Lobachevskogo. Nizhnij Novgorod, 4, 21-25.
• Dobrica, V.P., Loktionova, N.N. (2010) Implementation of the fuzzy set theory to measure the student education quality. Primenenie teorii nechetkih mnozhestv dlja ocenki kachestva obrazovannosti obuchajushhihsja. In: Vestnik RUDN.Serija «Informatizacija obrazovanija», 1, Retrieved 3/08/2014, from http://imp.rudn.ru/vestnik/2010/2010_1/11.pdf.
• Kuz’mina, N.V. (1990) Professionalism of a teacher personality and masters of production studying. Professionalizm lichnosti prepodavatelja i  mastera proizvodstvennogo obuchenija Moscow Vyssh. shkola.
• Leonenkov, A.V. (2005) Fuzzy modeling in MATLAB or fuzzy TECH environment. Nechjotkoe modelirovanie v srede MATLAB ili fuzzy TECH. Sankt-Peterburg, BHV-Peterburg.
• Li, Minghuang, Yu, Fusheng (2013) Semidefinite Programming-Based Method for Implementing Linear Fitting to Interval-Valued Data. In: Contemporary Theory and Pragmatic Approaches in Fuzzy Computing Utilization by Toly Chen. Publisher: IGI Global.
• Mamdani, Е.Н. (1977) Application of fuzzy logic to approximate reasoning using linguistic synthesis In: IЕЕЕ Transactions оn Computers. Vol. 26, № 12, 1182-1191.
• Novak V., Perfil’eva I., Mochkorzh I. (2006) Mathematical principles of fuzzy logic. Matematicheskie principy nechjotkoj logiki. Moscow, FIZMATLIT.
• Piegat, A. (2001). Fuzzy modeling and control (Vol. 69). Springer.
• Tavana Madjid, Marbini Adel Hatami, Saati Saber, Hajiahkondi Elham (2012), A Two-Fold Linear Programming Model with Fuzzy Data In International Journal of Fuzzy System Applications.Volume 2 Issue 3, July 2012, 1-12.
• Vasil’ev, A.F., Vegera A.S., Myslovec E.N. (2012) Building of fuzzy assessment of mathematics teacher competence in the MATLAB Fuzzy Logic Toolbox. Postroenie nechetkoj ocenki kompetentnosti uchitelja matematiki v srede MATLAB Fuzzy Logic Toolbox. Retrieved 8/08/2014, from http://fuzzy-group.narod.ru/main/articles/competence.html
• Veshneva, I.V. (2010) Mathematical models in a system of high education quality management with the use of fuzzy logics methods. Matematicheskie modeli v sisteme upravlenija kachestvom vysshego obrazovanija s ispol’zovaniem metodov nechetkoj logiki: Monografija. Saratov: Izdatel’stvo «Saratovskij istochnik»
• Voskoglou, Michael Gr. (2012), A Study on Fuzzy Systems. In: Journal-ref: American Journal of Computational and Applied Mathematics, 2(5), 232-240 Retrieved 8/08/2014, from http://arxiv.org/ftp/arxiv/papers/1212/1212.2614.pdf
• Voskoglou, M. Gr. (2007), A stochastic model for the modelling process, In C. Chaines et al (Eds), Mathematical Modelling: Education, Engineering and Economics (ICTMA 12), 149-157, Horwood Publ., Chichester.
• Zadeh, L.A. (1975a), The concept of a linguistic variable and its application to approximate reasoning-I, In Information Sciences, vol. 8, no. 3, 199-249.
• Zadeh L.A. (1975b), The concept of a linguistic variable and its application to approximate reasoning-II, In Information Sciences, vol. 8, no. 4, 301-357.
• Zadeh, L.A. (1975c). The concept of a linguistic variable and its application to approximate reasoning-III, In Information Sciences, vol. 9, no. 1, 43-80.
• UDK 371:004.89:519.876
• Advised by Ivashnova Svitlana, Institute of postdegree pedagogical education, Borys Grinchenko Kyiv University, Kiev, Ukraine.