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Multi-Criteria Decision Making (MCDM) is a branch of operations research used in a variety of domains from health care to engineering to facilitate decision-making among multiple options based on specific criteria. Several R packages have…

Mathematical Software · Computer Science 2025-02-14 Annice Najafi , Shokoufeh Mirzaei

The Ordinal Priority Approach (OPA) is a multi-attribute decision-making (MADM) method to determine the relative importance (weights) of experts, attributes, and alternatives. This study formally establishes the fundamental properties of…

Optimization and Control · Mathematics 2024-07-25 Renlong Wang

In this paper, we present a methodology based on a multiobjective optimization suggesting which facility to implement, in which location, and at which time. In this context, we define a new elicitation procedure to handle Decision Makers…

Optimization and Control · Mathematics 2023-05-02 Maria Barbati , Salvatore Greco , Isabella M. Lami

Multi-objective evolutionary algorithms (MOEAs) are essential for solving complex optimization problems, such as the diet problem, where balancing conflicting objectives, like cost and nutritional content, is crucial. However, most MOEAs…

Neural and Evolutionary Computing · Computer Science 2026-01-05 Gustavo V. Nascimento , Ivan R. Meneghini , Valéria Santos , Eduardo Luz , Gladston Moreira

The seven-valued logic considered in this paper naturally arises within the rough set framework, allowing to distinguish vagueness due to imprecision from ambiguity due to coarseness. Recently, we discussed its utility for reasoning about…

Artificial Intelligence · Computer Science 2024-06-07 Salvatore Greco , Roman Słowiński

Interpretability is a pressing issue for decision systems. Many post hoc methods have been proposed to explain the predictions of a single machine learning model. However, business processes and decision systems are rarely centered around a…

Machine Learning · Computer Science 2023-03-22 Gianluigi Lopardo , Damien Garreau , Frederic Precioso , Greger Ottosson

Simultaneous variable selection and statistical inference is challenging in high-dimensional data analysis. Most existing post-selection inference methods require explicitly specified regression models, which are often linear, as well as…

Methodology · Statistics 2026-03-19 Shangyuan Ye , Shauna Rakshe , Ye Liang

Background: Shared decision-making (SDM) aims to empower patients to take an active role in their treatment choices, supported by clinicians and patient decision aids (PDAs). The purpose of this study is to explore barriers and possible…

With the rapid development of Large Language Models (LLMs), aligning these models with human preferences and values is critical to ensuring ethical and safe applications. However, existing alignment techniques such as RLHF or DPO often…

Computation and Language · Computer Science 2025-08-19 Yang Zhang , Yu Yu , Bo Tang , Yu Zhu , Chuxiong Sun , Wenqiang Wei , Jie Hu , Zipeng Xie , Zhiyu Li , Feiyu Xiong , Edward Chung

Preference aggregation is a core operation in multi-objective design optimisation and group decision-making, as it determines the best-fit-for-common-purpose alternative within complex socio-technical contexts. Therefore, their aggregation…

Optimization and Control · Mathematics 2026-01-28 A. R. M. , Wolfert

Eliciting preferences from human judgements is inherently imprecise, yet most decision analysis methods force a single priority vector from pairwise comparisons, discarding the information embedded in inconsistencies. We instead leverage…

General Economics · Economics 2026-02-27 Salvatore Greco , Sajid Siraj , Michele Lundy

Forecasting presents a complex estimation challenge, as it involves balancing multiple, often conflicting, priorities and objectives. Conventional forecast optimization methods typically emphasize a single metric--such as minimizing the…

Econometrics · Economics 2026-02-17 Marc Wildi

We derive computational formulas for the generalized Choquet integral based on the novel survival function introduced by M. Boczek et al. [1]. We demonstrate its usefulness on the Knapsack problem and the problem of accommodation options.…

Optimization and Control · Mathematics 2023-06-23 Stanislav Basarik , Jana Borzová , Lenka Halčinová , Jaroslav Šupina

A novel approach for solving a multiple judge, multiple criteria decision making (MCDM) problem is proposed. The ranking of alternatives that are evaluated based on multiple criteria is difficult, since the presence of multiple criteria…

Applications · Statistics 2018-07-17 Daniel Kostner

The classical Method of Successive Approximations (MSA) is an iterative method for solving stochastic control problems and is derived from Pontryagin's optimality principle. It is known that the MSA may fail to converge. Using careful…

Optimization and Control · Mathematics 2020-11-18 Bekzhan Kerimkulov , David Šiška , Łukasz Szpruch

We propose an axiomatization of the Choquet integral model for the general case of a heterogeneous product set $X = X_1 \times \ldots \times X_n$. In MCDA elements of $X$ are interpreted as alternatives, characterized by criteria taking…

Economics · Quantitative Finance 2016-03-29 Mikhail Timonin

The enormous parameter scale of large language models (LLMs) has made model compression a research hotspot, which aims to alleviate computational resource demands during deployment and inference. As a promising direction, low-rank…

Machine Learning · Computer Science 2025-07-08 Guangyan Li , Yongqiang Tang , Wensheng Zhang

We focus on Multimodal Machine Reading Comprehension (M3C) where a model is expected to answer questions based on given passage (or context), and the context and the questions can be in different modalities. Previous works such as RecipeQA…

Computer Vision and Pattern Recognition · Computer Science 2021-10-25 Pritish Sahu , Karan Sikka , Ajay Divakaran

Dynamic causal modeling (DCM) is a Bayesian framework to infer directed connections between compartments, and has been used to describe the interactions between underlying neural populations based on functional neuroimaging data. DCM is…

Neurons and Cognition · Quantitative Biology 2021-02-23 Juntang Zhuang , Nicha Dvornek , Sekhar Tatikonda , Xenophon Papademetris , Pamela Ventola , James Duncan

We propose Stepwise cOnditional likelihood variable selection for Discriminant Analysis (SODA) to detect both main and quadratic interaction effects in logistic regression and quadratic discriminant analysis (QDA) models. In the forward…

Methodology · Statistics 2017-05-31 Yang Li , Jun S. Liu