| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2018 |
| Язык | английский |
|
Таюрский Дмитрий Альбертович, автор
|
|
Le Mehanute Alain , автор
Nivanen Laurent , автор
Raynal Serge , автор
Riot Philippe , автор
|
| Библиографическое описание на языке оригинала |
Riot P. Zeta-management: categorical and fractional differential approaches / P. Riot, A. Le Mehaute, D. Tayurskii, Laurent Nivanen, Serge Raynal // Hyperion International Journal of Econophysics & New Economy. - 2018. - v. 11. - N 1. - P. 7-48.
|
| Аннотация |
The aim of this note is to introduce and justify the reasons why the traditional differential approach of complex systems, and more specifically non-additive systems, must be recognized as an epistemological failure (e.g. in economy, finance or limited in social agent models). The categorical character of the context proper to any type of irreversible exchange is analyzed. This approach underlines and explains the weaknesses of the set theory generally utilized. Beyond the mathematical concepts their application in project management provides an illustrative example allowing an easy understanding of the statements of problems attached to non-additive and irreversible complex system. We will see why it is necessary to shift the analysis from the set theory toward the theory of categories and why this choice very naturally introduces the use of non- integer order Differential Equations. |
| Ключевые слова |
Categories Theory, Fractal and Hyperbolic Geometry, Fractional Differential Integral, Irreversibility, Management |
| Название журнала |
Hyperion International Journal of Econophysics & New Economy
|
| Ссылка для РПД |
http://dspace.kpfu.ru/xmlui/bitstream/handle/net/132094/F_01_Riot_Le_Mehaute_et_al.pdf?sequence=1&isAllowed=y
|
| URL |
https://www.journal-hyperion.ro/journal-archive/category/37-volume-11-issue-1-2018?start=9 |
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=184777 |
| Файлы ресурса | |
|
|
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Таюрский Дмитрий Альбертович |
ru_RU |
| dc.contributor.author |
Le Mehanute Alain |
ru_RU |
| dc.contributor.author |
Nivanen Laurent |
ru_RU |
| dc.contributor.author |
Raynal Serge |
ru_RU |
| dc.contributor.author |
Riot Philippe |
ru_RU |
| dc.date.accessioned |
2018-01-01T00:00:00Z |
ru_RU |
| dc.date.available |
2018-01-01T00:00:00Z |
ru_RU |
| dc.date.issued |
2018 |
ru_RU |
| dc.identifier.citation |
Riot P. Zeta-management: categorical and fractional differential approaches / P. Riot, A. Le Mehaute, D. Tayurskii, Laurent Nivanen, Serge Raynal // Hyperion International Journal of Econophysics & New Economy. - 2018. - v. 11. - N 1. - P. 7-48.
|
ru_RU |
| dc.identifier.uri |
https://repository.kpfu.ru/?p_id=184777 |
ru_RU |
| dc.description.abstract |
Hyperion International Journal of Econophysics & New Economy |
ru_RU |
| dc.description.abstract |
The aim of this note is to introduce and justify the reasons why the traditional differential approach of complex systems, and more specifically non-additive systems, must be recognized as an epistemological failure (e.g. in economy, finance or limited in social agent models). The categorical character of the context proper to any type of irreversible exchange is analyzed. This approach underlines and explains the weaknesses of the set theory generally utilized. Beyond the mathematical concepts their application in project management provides an illustrative example allowing an easy understanding of the statements of problems attached to non-additive and irreversible complex system. We will see why it is necessary to shift the analysis from the set theory toward the theory of categories and why this choice very naturally introduces the use of non- integer order Differential Equations. |
ru_RU |
| dc.language.iso |
ru |
ru_RU |
| dc.subject |
Categories Theory |
ru_RU |
| dc.subject |
Fractal and Hyperbolic Geometry |
ru_RU |
| dc.subject |
Fractional Differential Integral |
ru_RU |
| dc.subject |
Irreversibility |
ru_RU |
| dc.subject |
Management |
ru_RU |
| dc.title |
Zeta-management: categorical and fractional differential approaches |
ru_RU |
| dc.type |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
EN 
中文 
ES 
Карта сайта
