Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
389597 | Fuzzy Sets and Systems | 2016 | 11 Pages |
Abstract
Extending the idea of Even and Lehrer (2014) [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 (2014) [3] and also covers problems of linear programming and combinatorial optimization. Finally, we introduce some new types of integrals related to optimization tasks.
Keywords
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Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Salvatore Greco, Radko Mesiar, Fabio Rindone, Ladislav Sipeky,