Modeling of Complex Systems by Means of Partial Algebras
Complex systems are very hard to describe by some unified language and calculus. In cases when their nature is very heterogeneous is possible to use with advantage state description. Formalization of operations on the set of states usually leads to partial algebras. The work with partial algebras is...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Brno University of Technology
2019-06-01
|
| Series: | Mendel |
| Subjects: | |
| Online Access: | https://mendel-journal.org/index.php/mendel/article/view/86 |
| _version_ | 1818892258161721344 |
|---|---|
| author | Jiri Bila Ricardo Jorge Rodríguez Martin Novak |
| author_facet | Jiri Bila Ricardo Jorge Rodríguez Martin Novak |
| author_sort | Jiri Bila |
| collection | DOAJ |
| description | Complex systems are very hard to describe by some unified language and calculus. In cases when their nature is very heterogeneous is possible to use with advantage state description. Formalization of operations on the set of states usually leads to partial algebras. The work with partial algebras is rather difficult and unpractical. From this reason some methods approximating partial algebras by some more symmetrical objects are searched for. In this paper there is proposed an approximation of this algebras by free cyclic groups. Then using the combination of Matroid Theory and Ramsey theory of graph the prediction of a possible appearance of emergent situation is executed. Data and knowledge used in the paper for the demonstration of developed method application are from the field of Ecology. |
| first_indexed | 2024-12-19T17:53:50Z |
| format | Article |
| id | doaj.art-e529edf62dc1437d95bf8bd8daa1a4a1 |
| institution | Directory Open Access Journal |
| issn | 1803-3814 2571-3701 |
| language | English |
| last_indexed | 2024-12-19T17:53:50Z |
| publishDate | 2019-06-01 |
| publisher | Brno University of Technology |
| record_format | Article |
| series | Mendel |
| spelling | doaj.art-e529edf62dc1437d95bf8bd8daa1a4a12022-12-21T20:11:51ZengBrno University of TechnologyMendel1803-38142571-37012019-06-0125110.13164/mendel.2019.1.10386Modeling of Complex Systems by Means of Partial AlgebrasJiri Bila0Ricardo Jorge Rodríguez1Martin Novak2Institute of Instrumentation and Control Engineering, Czech Technical University in Prague, Czech RepublicDepartment of Mechatronics, Technological University of Ciudad Juarez, MexicoInstitute of Instrumentation and Control Engineering, Czech Technical University in Prague, Czech RepublicComplex systems are very hard to describe by some unified language and calculus. In cases when their nature is very heterogeneous is possible to use with advantage state description. Formalization of operations on the set of states usually leads to partial algebras. The work with partial algebras is rather difficult and unpractical. From this reason some methods approximating partial algebras by some more symmetrical objects are searched for. In this paper there is proposed an approximation of this algebras by free cyclic groups. Then using the combination of Matroid Theory and Ramsey theory of graph the prediction of a possible appearance of emergent situation is executed. Data and knowledge used in the paper for the demonstration of developed method application are from the field of Ecology.https://mendel-journal.org/index.php/mendel/article/view/86partial algebrascyclic groupsqualitative distancematroidmatroid basesprediction of emergent situation on complex system |
| spellingShingle | Jiri Bila Ricardo Jorge Rodríguez Martin Novak Modeling of Complex Systems by Means of Partial Algebras Mendel partial algebras cyclic groups qualitative distance matroid matroid bases prediction of emergent situation on complex system |
| title | Modeling of Complex Systems by Means of Partial Algebras |
| title_full | Modeling of Complex Systems by Means of Partial Algebras |
| title_fullStr | Modeling of Complex Systems by Means of Partial Algebras |
| title_full_unstemmed | Modeling of Complex Systems by Means of Partial Algebras |
| title_short | Modeling of Complex Systems by Means of Partial Algebras |
| title_sort | modeling of complex systems by means of partial algebras |
| topic | partial algebras cyclic groups qualitative distance matroid matroid bases prediction of emergent situation on complex system |
| url | https://mendel-journal.org/index.php/mendel/article/view/86 |
| work_keys_str_mv | AT jiribila modelingofcomplexsystemsbymeansofpartialalgebras AT ricardojorgerodriguez modelingofcomplexsystemsbymeansofpartialalgebras AT martinnovak modelingofcomplexsystemsbymeansofpartialalgebras |