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Collection and decomposition integrals in multicriteria-decision support

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Publication:2086264
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DOI10.1007/978-3-030-72711-6_2OpenAlexW3185446516MaRDI QIDQ2086264

Radko Mesiar, Adam Šeliga

Publication date: 25 October 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-72711-6_2


zbMATH Keywords

Choquet integraldecomposition integralmonotone measureinterval-valued functionShilkret integraldecomposition systemmulticriteria-decision support


Mathematics Subject Classification ID

Reasoning under uncertainty in the context of artificial intelligence (68T37) Fuzzy measure theory (28E10)





Cites Work

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  • Superdecomposition integrals
  • A new integral for capacities
  • A new type of nonlinear and the computational algorithm
  • Collection integral vs. Choquet integral
  • Construction method of coherent lower and upper previsions based on collection integrals
  • Decomposition integrals
  • Decomposition-integral: unifying Choquet and the concave integrals
  • Theory of capacities
  • A Note on Decomposition Integrals
  • Generalized Measure Theory
  • A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid




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