The Choquet integral with respect to a level dependent capacity
From MaRDI portal
Publication:549332
DOI10.1016/j.fss.2011.03.012zbMath1218.28014OpenAlexW2011231726MaRDI QIDQ549332
Silvio Giove, Matarazzo, Benedetto, Greco, Salvatore
Publication date: 15 July 2011
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.fss.2011.03.012
Choquet integralaggregation functionsSugeno integralOWAcumulative prospect theory functionallevel dependent bicapacitylevel dependent capacity
Related Items
Discrete bipolar universal integrals ⋮ Robust ordinal regression for value functions handling interacting criteria ⋮ Stochastic multiobjective acceptability analysis for the Choquet integral preference model and the scale construction problem ⋮ Indicators for the characterization of discrete Choquet integrals ⋮ Two new characterizations of universal integrals on the scale \([0,1\)] ⋮ Dealing with a multiple criteria environmental problem with interaction effects between criteria through an extension of the Electre III method ⋮ Sugeno integrals with respect to level dependent capacities ⋮ Sequential decision-making under uncertainty using hybrid probability-possibility functions ⋮ Choquet-like integrals with respect to level-dependent capacities and φ-ordinal sums of aggregation function ⋮ Discrete integrals and axiomatically defined functionals ⋮ Interval-valued seminormed fuzzy operators based on admissible orders ⋮ On some distributivity equation related to minitive and maxitive homogeneity of the upper \(n\)-Sugeno integral ⋮ Novel survival functions based on conditional aggregation operators ⋮ The connection between distortion risk measures and ordered weighted averaging operators ⋮ Bipolar fuzzy integrals ⋮ Detection of rare events with uncertain outcomes ⋮ Robust Ordinal Regression ⋮ Decomposition approaches to integration without a measure ⋮ Using multiple reference levels in multi-criteria decision aid: the generalized-additive independence model and the Choquet integral approaches ⋮ Robust stochastic sorting with interacting criteria hierarchically structured ⋮ A unified approach to the monotone integral-based premium principles under the CPT theory ⋮ Choquet integral with respect to Łukasiewicz filters, and its modifications ⋮ \(k\)-maxitive aggregation functions ⋮ \(d\)-Choquet integrals: Choquet integrals based on dissimilarities ⋮ As simple as possible but not simpler in multiple criteria decision aiding: the robust-stochastic level dependent Choquet integral approach ⋮ Non-additive robust ordinal regression: a multiple criteria decision model based on the Choquet integral ⋮ Use and Applications of Non-Additive Measures and Integrals ⋮ Contingent preference disaggregation model for multiple criteria sorting problem ⋮ Sandor type fuzzy inequality based on the (\(s\), \(m\))-convex function in the second sense ⋮ Robust integrals
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Assessing non-additive utility for multicriteria decision aid
- Anticipated utility: A measure representation approach
- Advances in prospect theory: cumulative representation of uncertainty
- The application of fuzzy integrals in multicriteria decision making
- \(k\)-order additive discrete fuzzy measures and their representation
- Variations on the measure representation approach
- Some quantities represented by the Choquet integral
- Determination of weights of interacting criteria from a reference set
- Bi-capacities. I: Definition, Möbius transform and interaction
- Bi-capacities. II: The Choquet integral
- A unifying approach to axiomatic non-expected utility theories
- Multiple criteria decision analysis. State of the art surveys
- Theory of capacities
- On ordered weighted averaging aggregation operators in multicriteria decisionmaking