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

Left and right compatibility of strict orders with fuzzy tolerance and fuzzy equivalence relations

Authors
Bernard De Baets, Lemnaouar Zedam, Azzedine Kheniche
Corresponding Author
Bernard De Baets
Available Online June 2015.
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.221How to use a DOI?
Keywords
Compatibility, crisp strict order, fuzzy tolerance relation, fuzzy equivalence relation.
Abstract

The notion of extensionality of a fuzzy relation w.r.t. a fuzzy equivalence was first introduced by H¨ohle and Blanchard. B elohl´avek introduced a similar definition of compatibility of a fuzzy relation w.r.t. a fuzzy equality. In [14] we generalized this notion to left compatibility, right compatibility and compatibility of arbitrary fuzzy relations and we characterized them in terms of left and right traces introduced by Fodor. In this note, we will again investigate these notions, but this time we focus on the compatibility of strict orders with fuzzy tolerance and fuzzy equivalence relations.

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-15.2015.221How 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  - Bernard De Baets
AU  - Lemnaouar Zedam
AU  - Azzedine Kheniche
PY  - 2015/06
DA  - 2015/06
TI  - Left and right compatibility of strict orders with fuzzy tolerance and fuzzy equivalence relations
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  - 1554
EP  - 1558
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.221
DO  - https://doi.org/10.2991/ifsa-eusflat-15.2015.221
ID  - DeBaets2015/06
ER  -