Paper published in a book (Scientific congresses, symposiums and conference proceedings)
Characterizing variants of qualitative Sugeno integrals in a totally ordered Heyting algebra
Dubois, Didier; Rico, Agnès; Prade, Henriet al.
2015 • In Alonso, José M.; Bustince, Humberto; Reformat, Marek (Eds.) Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
[en] 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.
Disciplines :
Mathematics
Author, co-author :
Dubois, Didier; Université Paul Sabatier - Toulouse > IRIT
Rico, Agnès; Université Claude Bernard - Lyon 1 - UCLB > ERIC
Prade, Henri; Université Paul Sabatier - Toulouse > IRIT
Teheux, Bruno ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
yes
Language :
English
Title :
Characterizing variants of qualitative Sugeno integrals in a totally ordered Heyting algebra
Publication date :
July 2015
Event name :
IFSA-EUSFLAT 2015
Event date :
from June 30 2015 to July 3 2015
Audience :
International
Main work title :
Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology