Extending the idea of Even and Lehrer (2014) , we discuss a general approach to integration based on a given decomposition system equipped with a weighting function, and a decomposition of the integrated function. We distinguish two type of decompositions: sub-decomposition based integrals (in economics linked with optimization problems to maximize the possible profit) and super-decomposition based integrals (linked with costs minimization). We provide several examples (both theoretical and realistic) to stress that our approach generalizes that of Even and Lehrer (2014)  and also covers problems of linear programming and combinatorial optimization. Finally, we introduce some new types of integrals related to optimization tasks.
|Titolo:||Decomposition approaches to integration without a measure|
|Data di pubblicazione:||2016|
|Appare nelle tipologie:||1.1 Articolo in rivista|
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