Directional monotonicity of fusion functions
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Publication:319345
DOI10.1016/j.ejor.2015.01.018zbMath1346.26004OpenAlexW2095312476MaRDI QIDQ319345
Radko Mesiar, Humberto Bustince, Javier Fernández, Anna Kolesárová
Publication date: 6 October 2016
Published in: European Journal of Operational Research (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ejor.2015.01.018
multiple criteria analysisaggregation functionpiecewise linear functiondirectional monotonicityfusion function
Decision theory (91B06) Monotonic functions, generalizations (26A48) Special properties of functions of several variables, Hölder conditions, etc. (26B35)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Simple and absolute special majorities generated by OWA operators
- Restricted equivalence functions
- \(k\)-intolerant capacities and Choquet integrals
- Image thresholding using restricted equivalence functions and maximizing the measures of similarity
- Fuzzy implications
- Statistically grounded logic operators in fuzzy sets
- Non-additive robust ordinal regression: a multiple criteria decision model based on the Choquet integral
- Directional monotonicity properties of the power functions of likelihood ratio tests for cone-restricted hypotheses
- Triangular norms
- Fuzzy integral in multicriteria decision making
- Generalization of the weighted voting method using penalty functions constructed via faithful restricted dissimilarity functions
- Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices
- Absorbent tuples of aggregation operators
- Theory of capacities
- Overlap functions
- A HIERARCHICAL DECOMPOSITION OF CHOQUET INTEGRAL MODEL
- On ordered weighted averaging aggregation operators in multicriteria decisionmaking
- Weakly Monotone Averaging Functions
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