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The Choquet integral \(C(f, m)\) of a non-negative measurable function \(f\) with respect to a real-valued monotone set function \(m\) with \(m(\emptyset)= 0\) is defined by the equality \(C(f, m)= \int_{[0, \infty]} m(f\geq x) dx\). In the paper Choquet-like integrals are studied working with so-called pseudoaddition \(\oplus\) and ...
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Abstract Reports have suggested dramatic shifts in the calanoid assemblage of the Northeast Atlantic, with warm‐water species expanding northwards at the expense of cold‐water congeners. This is considered a serious threat to lipid‐fueled higher trophic levels, as warm‐water copepods are typically smaller with lower lipid content.
Johanna M. Aarflot +3 more
wiley +1 more source
Taking Risks, With and Without Probabilities
ABSTRACT Some hold that expected utility is too restrictive in the way it handles risk. Risk‐weighted expected utility is an alternative that allows decision‐makers to have a range of attitudes toward probabilistic risk. It holds that any attitude within this range is instrumentally rational, since these attitudes represent different, equally good ...
Lara Buchak
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The Choquet integral as Lebesgue integral and related inequalities [PDF]
summary:The integral inequalities known for the Lebesgue integral are discussed in the framework of the Choquet integral. While the Jensen inequality was known to be valid for the Choquet integral without any additional constraints, this is not more true
Li, Jun, Pap, Endre, Mesiar, Radko
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We investigate the multiple attribute decision making problems in which attribute values take the form of triangular fuzzy linguistic information. Firstly, the definition and some operational laws of triangular fuzzy linguistic are introduced.
Rui Lin +3 more
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Ordered Median Traveling Salesman Problem
ABSTRACT This paper introduces a novel combinatorial optimization problem with ordering constraints, termed the Ordered Median Traveling Salesman Problem (OMTSP). The OMTSP integrates key elements from both the classic Traveling Salesman Problem (TSP) and the Ordered Median Location Problem.
Ivana Ljubić +3 more
wiley +1 more source
Choquet Integral Calculus on a Continuous Support and its Applications
The results of the calculation of the Choquet integral of a monotone function on the nonnegative real line have been described. Next, the authors prepresented Choquet integral of nonmonotone functions, by constructing monotone functions from nonmonotone ...
Mustapha Ridaoui, Michel Grabisch
doaj
Survival and Behavior of Amphibians in a Seasonally Flooded Tropical Forest
How do tropical amphibians survive seasonal flooding? A three‐year capture–mark–recapture study in Costa Rica revealed species‐specific responses to flood events, with flooding reducing apparent survival in some species while others persisted through behavioral adaptations and use of arboreal refugia.
Todd R. Lewis +7 more
wiley +1 more source
Exploring drivers and costs of partial trans‐Saharan migration in juvenile vultures
Partial migration occurs when only a subset of individuals within a population undertakes a migratory journey. The decision to migrate can be influenced by intrinsic traits (e.g. sex or physical condition) as well as by extrinsic factors (e.g. social environment or resource availability).
Eneko Arrondo +18 more
wiley +1 more source
Approximation by Choquet integral operators [PDF]
The main aim of this paper is to show that the nonlinear Choquet integral can be used to construct nonlinear approximation operators, exactly as by the use in probability of the Lebesgue-type integral, linear and positive approximation operators are constructed.
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