Characterizing variants of qualitative Sugeno integrals in a totally ordered Heyting algebra
- https://doi.org/10.2991/ifsa-eusflat-15.2015.122How to use a DOI?
- Sugeno integral, residuated implications, multifactorial evaluation.
Sugeno integral is one of the basic aggregation operations on a qualitative scale where only minimum and maximum, as well as order-reversing maps are allowed. Recently some variants of this aggregation operation, named soft and drastic integrals, have been introduced in a previous work by three of the authors. In these operations, importance weights play the role of tolerance thresholds enabling full satisfaction if ratings pass them. These new aggregation operations use residuated implications, hence need a slightly richer structure, and are part of larger family of qualitative aggregations. Based on some properties laid bare in a previous work, this paper proposes characterisation theorems for four variants of Sugeno integrals. These results pave the way to decision-theoretic axiomatizations of these natural qualitative aggregations.
- © 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 - Didier Dubois AU - Agnès Rico AU - Bruno Teheux AU - Henri Prade PY - 2015/06 DA - 2015/06 TI - Characterizing variants of qualitative Sugeno integrals in a totally ordered Heyting algebra 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 - 865 EP - 872 SN - 1951-6851 UR - https://doi.org/10.2991/ifsa-eusflat-15.2015.122 DO - https://doi.org/10.2991/ifsa-eusflat-15.2015.122 ID - Dubois2015/06 ER -