Bisimulations in fuzzy social network analysis

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/).

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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  -