Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)

Preservation of t-norm and t-conorm based properties of fuzzy relations during aggregation process

Authors
Urszula Dudziak
Corresponding Author
Urszula Dudziak
Available Online August 2013.
DOI
10.2991/eusflat.2013.59How to use a DOI?
Keywords
fuzzy relations properties of fuzzy relations aggregation functions
Abstract

In the paper aggregations of fuzzy relations using functions of n variables are considered. After recalling properties of fuzzy relations, aggregation functions which preserve: reflexivity, irreflexivity, T-asymmetry, T-antisymmetry, symmetry, S-connectedness, T-transitivity, negative S-transitivity, T-S-semitransitivity and T-S-Ferrers property of fuzzy relations, where T is a t-norm and S is a t-conorm, are examined.

Copyright
© 2013, 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 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
Series
Advances in Intelligent Systems Research
Publication Date
August 2013
ISBN
10.2991/eusflat.2013.59
ISSN
1951-6851
DOI
10.2991/eusflat.2013.59How to use a DOI?
Copyright
© 2013, 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  - Urszula Dudziak
PY  - 2013/08
DA  - 2013/08
TI  - Preservation of t-norm and t-conorm based properties of fuzzy relations during aggregation process
BT  - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SP  - 416
EP  - 423
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.59
DO  - 10.2991/eusflat.2013.59
ID  - Dudziak2013/08
ER  -