Robust optimization of the choquet integral
WebIn these applications, Choquet integral reveals a combination of many advantages which cannot be all possessed by any one of the existing methodologies. It has robust self-learning ability, powerful nonlinear representation and explicit … WebJan 1, 2011 · As mentioned before, the only integration of a preference model based on the Choquet integral in a mosp algorithm has been done by Galand et al. (2007; 2010) to find balanced solutions in a robust optimization context (the capacity function is submodular). Regarding this integration, the main difficulty is that the Choquet integral does not ...
Robust optimization of the choquet integral
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WebFeb 1, 2013 · We study the problem of the Choquet integral maximization for the case when preferences of the decision maker do not define a unique capacity but rather some convex set. We introduce a robust version of the problem based on the minimax-regret criterion and construct a global optimization algorithm. WebIf these attributes are mutually dependent, the Choquet integral is a technique often used for modeling the decision making problem. With a large number of attributes to consider, decision making becomes an optimization problem that requires huge computational resources in order to be solved exactly.
WebJun 30, 2024 · This paper introduces a new method called the Mayfly Algorithm (MA) to solve optimization problems. Inspired from the flight behavior and the mating process of mayflies, the proposed algorithm combines major advantages of swarm intelligence and evolutionary algorithms. To evaluate the performance of the proposed algorithm, 38 …
WebWe introduce a robust versi... We study the problem of the Choquet integral maximization for the case when preferences of the decision maker do not define a unique capacity but rather some convex set. WebDefinitions: integrals Choquet integral (Choquet, 1954): • µ a non-additive measure, g a measurable function. The Choquet integral of g w.r.t. µ, where µg(r) := µ({x g(x) > r}): (C) Z gdµ := Z ∞ 0 µg(r)dr. (3) • When the measure is additive, this is the Lebesgue integral bi bi−1 ai ai−1 bi bi−1 x1 xN x1 xN x1 x {x f(x) = bi ...
WebMay 1, 2016 · In the early stage of development of evolutionary algorithms for multiobjective optimization, the efforts were focused on efficient generation of the whole set of Pareto-optimal solutions (or of a good approximation thereof), leaving the decision aiding task to the post-optimization stage.
WebJul 1, 2024 · [a1] G. Choquet, "Theory of capacities" Ann. Inst. Fourier (Grenoble), 5 (1953) pp. 131–295 [a2] D. Denneberg, "Non-additive measure and integral" , Kluwer Acad ... headlights 370zWebRobust optimization of the Choquet integral. Fuzzy Sets and Systems, 213, 27-46. Wang, L., Wang, H., Xu, Z., & Ren, Z. (2024). The interval‐valued hesitant Pythagorean fuzzy set and its applications with extended TOPSIS and Choquet integral‐based method. International Journal of Intelligent Systems, 34 (6), 1063-1085. 1 2 3 4 5 headlights4u.comWebJan 16, 2024 · Further, to obtain recommendations that take into account the space of fluctuation related to imprecision in nonadditive weights (capacity of the Choquet integral), we adopt the Robust Ordinal Regression (ROR) and the Stochastic Multicriteria Acceptability Analysis (SMAA). headlights 350z 2005WebApr 11, 2024 · To overcome these defects, in this paper, we construct a new kind of consensus models for group utility optimization. We employ 2-additive Choquet integral to aggregate the utilities of individual DMs interacting pairwise. Linear programming is used to learn fuzzy measures (weights) that are consistent with a partial preorder of DMs. gold peak sweet tea bottleWebMar 2, 2024 · The empirical results indicate that the proposed algorithm outperforms others in terms of accuracy, and keeps the Choquet integral's explainable property, justifying this paper's contribution. ... Fuzzy Optimization and Decision Making Volume 22, Issue 1. Mar 2024. 165 pages. ISSN: 1568-4539. Issue’s Table of Contents headlights 4454Weba static optimization in which the given Choquet regularizer is to be maximized over distributions with given mean and variance. It turns out this last problem has been solved explicitly by Liu et al. (2024). The optimal distributions form a location–scale family, whose shape depends on the choices of the Choquet regularizer. headlights 4th gen 4runnerWebJan 1, 2008 · We derive them from a general approach based on conditional Choquet expectations. Conversely, depending on the updating rule adopted, the conditional Choquet integral can take different values. headlights 4s0 941 033a