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
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A Novel Application of Choquet Integral for Multi-Model Fusion in Urban PM10 Forecasting
Air pollution forecasting remains a critical challenge for urban public health management, with traditional approaches struggling to balance accuracy and interpretability.
Houria Bouzghiba +4 more
doaj +1 more source
Cross-platform hotel evaluation by aggregating multi-website consumer reviews with probabilistic linguistic term set and Choquet integral. [PDF]
Zhang Y, Liang D, Xu Z.
europepmc +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 +2 more
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Interval-valued Pythagorean fuzzy multi-criteria decision-making method based on the set pair analysis theory and Choquet integral. [PDF]
Li F, Xie J, Lin M.
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
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The noncommutative Choquet boundary
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
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
Capacities and Games on Lattices: A Survey of Result [PDF]
We provide a survey of recent developments about capacities (or fuzzy measures) and ccoperative games in characteristic form, when they are defined on more general structures than the usual power set of the universal set, namely lattices. In a first part,
Michel Grabisch
core
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 +2 more
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