About the correctness of the membership functions of solution of differential equations with fuzzy initial data

Authors

  • Denis Vyacheslavovich Kuznecov FGBOU VO «Ufimskiy gosudarstvennyy aviacionnyy tehnicheskiy universitet» (UGATU)
  • Vladimir Vasilevich Vodopyanov FGBOU VO «Ufimskiy gosudarstvennyy aviacionnyy tehnicheskiy universitet» (UGATU)

Keywords:

fuzzy differential equations; membership function, mathematical model

Abstract

In this paper deals with conditions for the construction of the membership functions of solutions of differential equations with fuzzy initial data. It is shown that previously found in several studies the analytical form of the membership function is valid only in special cases.

Author Biographies

Denis Vyacheslavovich Kuznecov, FGBOU VO «Ufimskiy gosudarstvennyy aviacionnyy tehnicheskiy universitet» (UGATU)

mag-t kaf. matemat., b-r prikl. matemat. (UGATU, 2016)

Vladimir Vasilevich Vodopyanov, FGBOU VO «Ufimskiy gosudarstvennyy aviacionnyy tehnicheskiy universitet» (UGATU)

prof. kaf. matemat. Dipl. matematika (Kazanskiy gos. un-t, 1972). D-r tehn. nauk po matemat. modelirovaniyu (UGATU, 2008). Issl. v obl. matemat. modelirovaniya biologicheskih sistem.

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Published

2017-03-05

Issue

Vol. 21 No. 1 (75) (2017): Вестник УГАТУ

Section

INFORMATICS, COMPUTER ENGINEERING AND MANAGEMENT