Results 41 to 50 of about 2,185,256 (143)
Some properties of Choquet integral based probability functions [PDF]
, 2015 The Choquet integral permits us to integrate a function with respect to a non-additive measure. When the measure is additive it corresponds to the Lebesgue integral.
Torra, Vicenc,, Torra, Vicenç
core +1 more source
A Representation of Preferences by the Choquet Integral with Respect to a 2-Additive Capacity [PDF]
In the context of Multiple criteria decision analysis, we present the necessary and sufficient conditions allowing to represent an ordinal preferential information provided by the decision maker by a Choquet integral w.r.t a 2-additive capacity.
Michel Grabisch +2 more
core
A review of methods for capacity identification in Choquet integral based multi-attribute utility theory: Applications of the Kappalab R package [PDF]
The application of multi-attribute utility theory whose aggregation process is based on the Choquet integral requires the prior identification of a capacity. The main approaches to capacity identification proposed in the literature are reviewed and their
Patrick MEYER +2 more
core
Twofold integral and multi-step Choquet integral
, 2018 In this work we study some properties of the twofold integral and, in particular, its relation with the 2-step Choquet integral. First, we prove that the Sugeno integral can be represented as a 2-step Choquet integral.
Narukawa, Yasuo, Torra, Vicenç
core +1 more source
Inconsistency and non-additive Choquet integration in the Analytic Hierarchy Process [PDF]
We propose to extend the aggregation scheme of Saaty’s AHP, from the stan- dard weighted averaging to the more general Choquet integration. In our model, a measure of inconsistency between criteria is derived from the main pairwise comparison matrix and ...
Ricardo Alberto Marques Pereira +1 more
core
The Symmetric Sugeno Integral [PDF]
We propose an extension of the Sugeno integral for negative numbers, in the spirit of the symmetric extension of Choquet integral, also called \Sipos\ integral.
Michel Grabisch
core
Modeling attitudes toward uncertainty through the use of the Sugeno integral [PDF]
The aim of the paper is to present under uncertainty, and in an ordinal framework, an axiomatic treatment of the Sugeno integral in terms of preferences which parallels some earlier derivations devoted to the Choquet integral.
Michel Grabisch +2 more
core
The Choquet integral for the aggregation of interval scales in multicriteria decision making [PDF]
This paper addresses the question of which models fit with information concerning the preferences of the decision maker over each attribute, and his preferences about aggregation of criteria (interacting criteria).
Michel Grabisch, Christophe Labreuche
core
Choquet integrals in potential theory [PDF]
, 1998 This is a survey of various applications of the notion of the Choquet integral to questions in Potential Theory, i.e. the integral of a function with respect to a non-additive set function on subsets of Euclidean n-space, capacity.
David R. Adams +2 more
core +1 more source