Vestnik On-line
Orenburg State University december 22, 2024   RU/EN
Headings of Vestnik
Pedagogics
Psychology
Other

Search
Vak
Антиплагиат
Orcid
Viniti
ЭБС Лань
Rsl
Лицензия Creative Commons

2012, № 4 (140)



Baklykov A.A., Pushkov S.G. FUZZY LINEAR DYNAMIC SYSTEM AS A SYSTEM OVER SEMIRINGSWe study the problem of describing the dynamics of the process with some degree of uncertainty. The concept of linear dynamical systems over a semiring is introduced, and a number of its properties is described. Fuzzy set is represented as a semimodule over the semiring of real numbers from the interval [0,1]. We study the possibility of such a representation for the theory of fuzzy linear dynamical systems.Key words: linear dynamical systems, semiring, semimodule, fuzzy set, fuzzy systems.

Download
References:

1. Mesarovic M., Takahara Y. General systems theory: mathematical foundations. Moscow: Mir, 1978.

2. Kalman R., Falb P., Arbib M. Topics on mathematical systems theory. Moscow: Mir, 1971.

3. Zadeh L.A. Fuzzy sets // Information and Control, 1965, 8.

4. Averkin A.N., Batyrshin I.Z., Blishun A.F. etc. Fuzzy sets in management models and artificial intelligence. Moscow: Nauka, 1986.

5. Pushkov S.G. On the general theory of fuzzy systems: global states and a fuzzy global response of fuzzy systems // Izvestiya RAN. Teoriya i sistemy upravleniya. — 2001. — №5.

6. Kozhukhar V.A., Pushkov S.G. On the general theory of fuzzy systems: fuzzy linear, fuzzy dynamical systems // Izvestiya RAN. Teoriya i sistemy upravleniya. — 2008. — №5.


About this article

Authors: Baklykov A.A., Pushkov S.G.

Year: 2012


Editor-in-chief
Sergey Aleksandrovich
MIROSHNIKOV

Crossref
Cyberleninka
Doi
Europeanlibrary
Googleacademy
scienceindex
worldcat
© Электронное периодическое издание: ВЕСТНИК ОГУ on-line (VESTNIK OSU on-line), ISSN on-line 1814-6465
Зарегистрировано в Федеральной службе по надзору в сфере связи, информационных технологий и массовых коммуникаций
Свидетельство о регистрации СМИ: Эл № ФС77-37678 от 29 сентября 2009 г.
Учредитель: Оренбургский государственный университет (ОГУ)
Главный редактор: С.А. Мирошников
Адрес редакции: 460018, г. Оренбург, проспект Победы, д. 13, к. 2335
Тел./факс: (3532)37-27-78 E-mail: vestnik@mail.osu.ru
1999–2024 © CIT OSU