Bisimulations in fuzzy social network analysis
- https://doi.org/10.2991/ifsa-eusflat-15.2015.59How to use a DOI?
- Fuzzy social network, regular bisimulation, regular fuzzy equivalence, uniform fuzzy relation, fuzzy relation equation, residual of fuzzy relations.
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.
- © 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 - https://doi.org/10.2991/ifsa-eusflat-15.2015.59 ID - Ignjatovic2015/06 ER -