Work

Decomposition approaches to integration without a measure

Year: 2015

Type: preprint

Abstract: Extending the idea of Even and Lehrer [3], 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 [3] and also covers problems of linear programming and combinatorial optimization. Finally, we introduce some new types of integrals related to optimization tasks.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1501.00326

Authors: Greco, Salvatore, Mesiar, Radko, Rindone, Fabio, Sipeky, Ladislav

Institutions: University of Portsmouth, Czech Academy of Sciences, Czech Academy of Sciences, Institute of Information Theory and Automation, University of Catania, Slovak University of Technology in Bratislava

Language: English

Topic: Game Theory and Voting Systems

Subfield: Economics and Econometrics

Field: Economics, Econometrics and Finance

Domain: Social Sciences

Open Access status: green

Funder: Vedecká Grantová Agentúra MŠVVaŠ SR a SAV

Awards: Molekulárne mechanizmy odpovedí endotelových buniek na oxidatívny stress pri hypoxii (HYPOXENCELL)., G7176085334

OpenAlex ID: W2949973366

Cites: 11

Cited by:

Related to: 20