Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology

Bisimulations in fuzzy social network analysis

Authors
Jelena Ignjatovic, Miroslav Ciric, Ivan Stankovic
Corresponding Author
Jelena Ignjatovic
Available Online June 2015.
DOI
https://doi.org/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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Volume Title
Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
Series
Advances in Intelligent Systems Research
Publication Date
June 2015
ISBN
978-94-62520-77-6
ISSN
1951-6851
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.59How to use a DOI?
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  - https://doi.org/10.2991/ifsa-eusflat-15.2015.59
ID  - Ignjatovic2015/06
ER  -