Left and right compatibility of strict orders with fuzzy tolerance and fuzzy equivalence relations
- https://doi.org/10.2991/ifsa-eusflat-15.2015.221How to use a DOI?
- Compatibility, crisp strict order, fuzzy tolerance relation, fuzzy equivalence relation.
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  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.
- © 2015, the Authors. Published by Atlantis Press.
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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 -