Bisimulations in fuzzy social network analysis
Authors
Jelena Ignjatovic, Miroslav Ciric, Ivan Stankovic
Corresponding Author
Jelena Ignjatovic
Available Online June 2015.
- DOI
- 10.2991/ifsa-eusflat-15.2015.59How to use a DOI?
- Keywords
- Fuzzy social network, regular bisimulation, regular fuzzy equivalence, uniform fuzzy relation, fuzzy relation equation, residual of fuzzy relations.
- Abstract
In this paper we introduce two types of simulations and five types of bisimulations for fuzzy social networks, and we study one of them – regular bisimulations. We prove that if there exists at least one regular bisimulation between two fuzzy networks, then there exists the greatest bisimulation of this type, and we provide a procedure for testing the existence of a regular bisimulation between two fuzzy networks, and computing the greatest one, whenever it exists. We also establish a natural relationship between regular bisimulations and regular fuzzy equivalences.
- Copyright
- © 2015, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Jelena Ignjatovic AU - Miroslav Ciric AU - Ivan Stankovic PY - 2015/06 DA - 2015/06 TI - Bisimulations in fuzzy social network analysis BT - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology PB - Atlantis Press SP - 404 EP - 411 SN - 1951-6851 UR - https://doi.org/10.2991/ifsa-eusflat-15.2015.59 DO - 10.2991/ifsa-eusflat-15.2015.59 ID - Ignjatovic2015/06 ER -