Belief structures, possibility theory and decomposable confidence measures on finite sets
Computers and Artificial Intelligence
Refinements of the maximin approach to decision-making in a fuzzy environment
Fuzzy Sets and Systems - Special issue on fuzzy optimization
Fuzzy sets as a basis for a theory of possibility
Fuzzy Sets and Systems
An axiomatic treatment of three qualitative decision criteria
Journal of the ACM (JACM)
On Sugeno integral as an aggregation function
Fuzzy Sets and Systems
A unified framework for order-of-magnitude confidence relations
UAI '04 Proceedings of the 20th conference on Uncertainty in artificial intelligence
Preference modeling on totally ordered sets by the Sugeno integral
Discrete Applied Mathematics - Ordinal and symbolic data analysis (OSDA 2000)
Qualitative decision under uncertainty: back to expected utility
Artificial Intelligence
On the foundations of qualitative decision theory
AAAI'96 Proceedings of the thirteenth national conference on Artificial intelligence - Volume 2
On the axiomatization of qualitative decision criteria
AAAI'97/IAAI'97 Proceedings of the fourteenth national conference on artificial intelligence and ninth conference on Innovative applications of artificial intelligence
Qualitative decision theory with Sugeno integrals
UAI'98 Proceedings of the Fourteenth conference on Uncertainty in artificial intelligence
An axiomatic approach of the discrete Choquet integral as a tool to aggregate interacting criteria
IEEE Transactions on Fuzzy Systems
Lexicographic use of Sugeno integrals and monotonicity conditions
IEEE Transactions on Fuzzy Systems
Capacity Refinements and Their Application to Qualitative Decision Evaluation
ECSQARU '09 Proceedings of the 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
MDAI'10 Proceedings of the 7th international conference on Modeling decisions for artificial intelligence
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Fuzzy Sets and Systems
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ECSQARU'13 Proceedings of the 12th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
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This paper deals with qualitative evaluation processes when the worth of items is computed by means of Sugeno integral. One limitation of this approach is the coarse ranking of items it produces. In order to refine this ranking, generalizations of leximin and leximax to Sugeno integrals are studied. Numerical encodings of such generalized lexicographic methods are described by means of mappings from the qualitative value scale to the reals. In some of these transformations Sugeno integral is changed into a Choquet integral. The issue of refining the capacity at work in Sugeno integral also receives a preliminary examination. This work relies on a previous similar attempt at refining prioritized minimum and maximum aggregations (in the setting of decision under uncertainty) into a so-called big-stepped weighted average, encoding a very refined qualitative lexicographic ordering of items.