[HTML][HTML] Preferences in AI: An overview
This editorial of the special issue “Representing, Processing, and Learning Preferences:
Theoretical and Practical Challenges” surveys past and ongoing research on preferences in …
Theoretical and Practical Challenges” surveys past and ongoing research on preferences in …
[LIBRO][B] Aggregation functions
Aggregation is the process of combining several numerical values into a single
representative value, and an aggregation function performs this operation. These functions …
representative value, and an aggregation function performs this operation. These functions …
The state-of-art of the generalizations of the Choquet integral: From aggregation and pre-aggregation to ordered directionally monotone functions
In 2013, Barrenechea et al. used the Choquet integral as an aggregation function in the
fuzzy reasoning method (FRM) of fuzzy rule-based classification systems. After that, starting …
fuzzy reasoning method (FRM) of fuzzy rule-based classification systems. After that, starting …
[LIBRO][B] Fuzzy measures and integrals in MCDA
M Grabisch, C Labreuche - 2016 - Springer
This chapter aims at a unified presentation of various methods of MCDA based on fuzzy
measures (capacity) and fuzzy integrals, essentially the Choquet and Sugeno integral. A first …
measures (capacity) and fuzzy integrals, essentially the Choquet and Sugeno integral. A first …
A universal integral as common frame for Choquet and Sugeno integral
The Choquet and the Sugeno integral provide a useful tool in many problems in engineering
and social choice where the aggregation of data is required. However, their applicability is …
and social choice where the aggregation of data is required. However, their applicability is …
Bi-capacities—I: definition, Möbius transform and interaction
Bi-capacities arise as a natural generalization of capacities (or fuzzy measures) in a context
of decision making where underlying scales are bipolar. They are able to capture a wide …
of decision making where underlying scales are bipolar. They are able to capture a wide …
Bi-capacities—II: the Choquet integral
Bi-capacities arise as a natural generalization of capacities (or fuzzy measures) in a context
of decision making where underlying scales are bipolar. They are able to capture a wide …
of decision making where underlying scales are bipolar. They are able to capture a wide …
The symmetric Sugeno integral
M Grabisch - Fuzzy sets and systems, 2003 - Elsevier
We propose an extension of the Sugeno integral for negative numbers, in the spirit of the
symmetric extension of Choquet integral, also called Šipoš integral. Our framework is purely …
symmetric extension of Choquet integral, also called Šipoš integral. Our framework is purely …
Theory of inclusion-exclusion integral
A Honda, Y Okazaki - Information Sciences, 2017 - Elsevier
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Generalized Choquet-like aggregation functions for handling bipolar scales
We are interested in modeling interaction between criteria in multi-criteria decision making
when underlying scales are bipolar. Interacting phenomena involving behavioral bias …
when underlying scales are bipolar. Interacting phenomena involving behavioral bias …