Regular fuzzy equivalences and regular fuzzy quasi-orders

DOI

10.2991/ifsa-eusflat-15.2015.78How to use a DOI?

Keywords

Two-mode fuzzy network, regular fuzzy equivalence, regular fuzzy quasi-order, fuzzy relation equation, residual of fuzzy relations, social network analysis.

Abstract

The notion of social roles is a centerpiece of most sociological theoretical considerations. Regular equivalences arise as a result of an attempt to capture the sociological notion of a relational or structural role. Regular equivalences were introduced by White and Reitz in [28] as the least restrictive among the most commonly used definitions of the equivalence in social network analysis. In recent years, with development of fuzzy social network theory, regular fuzzy equivalences are widely explored. In this paper we consider a generalization of this notion to a bipartite case. We define a pair of regular fuzzy equivalences on a two-mode social network and we provide an algorithm for computing the greatest pair of 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  - Ivana Micic
AU  - Zorana Jancic
AU  - Ivan Stankovic
PY  - 2015/06
DA  - 2015/06
TI  - Regular fuzzy equivalences and regular fuzzy quasi-orders
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  - 544
EP  - 550
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.78
DO  - 10.2991/ifsa-eusflat-15.2015.78
ID  - Micic2015/06
ER  -