Preservation of t-norm and t-conorm based properties of fuzzy relations during aggregation process
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- fuzzy relations properties of fuzzy relations aggregation functions
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.
- © 2013, the Authors. Published by Atlantis Press.
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- 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 - https://doi.org/10.2991/eusflat.2013.59 ID - Dudziak2013/08 ER -