Characterizing variants of qualitative Sugeno integrals in a totally ordered Heyting algebra

Publisher:
Atlantis Press
Publication Type:
Conference Proceeding
Citation:
PROCEEDINGS OF THE 2015 CONFERENCE OF THE INTERNATIONAL FUZZY SYSTEMS ASSOCIATION AND THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY, 2015, 89 pp. 865 - 872 (8)
Issue Date:
2015-01-01
Full metadata record
Files in This Item:
Filename Description Size
IFSA-EUSFLAT-2015_submission_139.pdfPublished version861.52 kB
Adobe PDF
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.
Please use this identifier to cite or link to this item: