Results 121 to 130 of about 1,225,158 (250)

A strong law of large numbers for capacities. [PDF]

We consider a totally monotone capacity on a Polish space and a sequence of bounded p.i.i.d. random variables. We show that, on a full set, any cluster point of empirical averages lies between the lower and the upper Choquet integrals of the random ...
Fabio Maccheroni, Massimo Marinacci
core  

Discrete Choquet integral based on intuitionistic fuzzy overlap functions and its application in multi-attribute decision making

Xibei Gongye Daxue Xuebao
For multi-attribute decision-making problems, a novel method is proposed in this paper, which combines intuitionistic fuzzy overlap functions with discrete Choquet integrals within the intuitionistic fuzzy measure's framework.
YU Peng, YANG Feng
doaj   +1 more source

Stated choice analysis of preferences for COVID-19 vaccines using the Choquet integral. [PDF]

J Choice Model, 2022
Krueger R, Daziano RA.
europepmc   +1 more source

A new integral for capacities [PDF]

A new integral for capacities, different from the Choquet integral, is introduced and characterized. The main feature of the new integral is concavity, which might be interpreted as uncertainty aversion. The integral is then extended to fuzzy capacities,
Ehud Lehrer
core  

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, Silvia Bortot   +1 more
core  

Enabling Explainable Fusion in Deep Learning with Fuzzy Integral Neural Networks

, 2019
Information fusion is an essential part of numerous engineering systems and biological functions, e.g., human cognition. Fusion occurs at many levels, ranging from the low-level combination of signals to the high-level aggregation of heterogeneous ...
Anderson, Derek T., Havens, Timothy C., Islam, Muhammad Aminul, Keller, James M., Pinar, Anthony J., Scott, Grant   +5 more
core   +1 more source

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.
Agnès Rico, Alain Chateauneuf, Michel Grabisch   +2 more
core  

The noncommutative Choquet boundary

, 2007
Let S be an operator system -- a self-adjoint linear subspace of a unital C*-algebra A such that contains 1 and A=C*(S) is generated by S. A boundary representation for S is an irreducible representation \pi of C*(S) on a Hilbert space with the property ...
Arveson, William
core   +4 more sources

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.
Brice Mayag, Christophe Labreuche, Michel Grabisch   +2 more
core  

Logistic autonomous vehicles assessment using decision support model under spherical fuzzy set integrated Choquet Integral approach

Expert systems with applications, 2022
Shabnam Rahnamay Bonab, S. J. Ghoushchi, Muhammet Deveci, Gholamreza Haseli   +3 more
semanticscholar   +1 more source