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In the context of multicriteria decision making, the ordered weighted averaging (OWA) functions play a crucial role in aggregating multiple criteria evaluations into an overall assessment supporting the decision makers' choice. Determining…

Artificial Intelligence · Computer Science 2018-04-19 Thuy Hong Nguyen

Ordered weighted averaging (OWA) operators have been widely used in decision making these past few years. An important issue facing the OWA operators' users is the determination of the OWA weights. This paper introduces an OWA determination…

Artificial Intelligence · Computer Science 2018-05-07 Maxime Lenormand

Decisions under uncertainty or with multiple objectives usually require the decision maker to formulate a preference regarding risks or trade-offs. If this preference is known, the ordered weighted averaging (OWA) criterion can be applied…

Optimization and Control · Mathematics 2023-08-02 Werner Baak , Marc Goerigk , Michael Hartisch

The Ordered Weighted Averaging (OWA) operator is a traditional and commonly used criterion for aggregating discrete values of uncertain quantities. In this paper, it is shown that the discrete OWA naturally extends to the continuous case by…

Optimization and Control · Mathematics 2026-02-03 Werner Baak , Marc Goerigk , Adam Kasperski , Paweł Zieliński

The weighted OWA (WOWA) is a function that aggregates a set of values with weights assigned based on the rank and relative importance of each value. The weighted OWA of uncertain objective functions can generalize many of the criteria that…

Optimization and Control · Mathematics 2021-04-16 Jaeyoong Lim , Sungsoo Park

This article presents a contribution to multi-criteria decision support intended for industrial decision-makers in order to determine the best compromise between design criteria when working on risky or innovative products. In (RENAUD et…

Systems and Control · Electrical Eng. & Systems 2024-09-10 J Renaud , M Camargo , L Morel , C Fonteix

In this paper we develop a new family of Ordered Weighted Averaging (OWA) operators. Weight vector is obtained from a desired orness of the operator. Using Faulhaber's formulas we obtain direct and simple expressions for the weight vector…

Artificial Intelligence · Computer Science 2018-02-01 Oscar Duarte , Sandra Téllez

In this paper we introduce a class of operators on complete lattices called Dynamic Ordered Weighted Averaging (DYOWA) functions. These functions provide a generalized form of an important class of aggregation functions: The Ordered…

The primary objective of this paper is to present an approach for recommender systems that can assimilate ranking to the voters or rankers so that recommendation can be made by giving priority to experts suggestion over usual…

Information Retrieval · Computer Science 2021-05-04 Shahab Saquib Sohail , Jamshed Siddiqui , Rashid Ali , S. Hamid Hasan , M. Afshar Alam

In this work we extend to the interval-valued setting the notion of an overlap functions and we discuss a method which makes use of interval-valued overlap functions for constructing OWA operators with interval-valued weights. . Some…

Artificial Intelligence · Computer Science 2019-05-10 Benjamin Bedregal , Humberto Bustince , Eduardo Palmeira , Graçaliz Pereira Dimuro , Javier Fernandez

Quantum theory is the focus of current research. Likelihood functions are widely used in many fields. Because the classic likelihood functions are too strict for extreme data in practical applications, Yager proposed soft ordered weighted…

Quantum Physics · Physics 2021-09-02 Tianxiang Zhan , Yuanpeng He , Fuyuan Xiao

The paper deals with a multiobjective combinatorial optimization problem with $K$ linear cost functions. The popular Ordered Weighted Averaging (OWA) criterion is used to aggregate the cost functions and compute a solution. It is well known…

Data Structures and Algorithms · Computer Science 2018-04-11 André Chassein , Marc Goerigk , Adam Kasperski , Paweł Zieliński

In this paper a class of single machine scheduling problems is discussed. It is assumed that job parameters, such as processing times, due dates, or weights are uncertain and their values are specified in the form of a discrete scenario…

Data Structures and Algorithms · Computer Science 2014-12-01 Adam Kasperski , Pawel Zielinski

Motivated by the common academic problem of allocating papers to referees for conference reviewing we propose a novel mechanism for solving the assignment problem when we have a two sided matching problem with preferences from one side (the…

Artificial Intelligence · Computer Science 2017-05-22 Jing Wu Lian , Nicholas Mattei , Renee Noble , Toby Walsh

Information aggregation is a vital tool for human and machine decision making in the presence of uncertainty. Traditionally, approaches to aggregation broadly diverge into two categories, those which attribute a worth or weight to…

Artificial Intelligence · Computer Science 2024-05-06 Stephen B. Broomell , Christian Wagner

Because the appropriate combination of existing elements and establishing coordination between them as a consequence of making the right decision to accomplish the intended objective is achieved, management is now one of the main pillars of…

Metric Geometry · Mathematics 2025-04-29 Hamid Babaei , Shabnam Mohammadi , Hossein Ghaneai

Multiple importance sampling (MIS) methods use a set of proposal distributions from which samples are drawn. Each sample is then assigned an importance weight that can be obtained according to different strategies. This work is motivated by…

Computation · Statistics 2015-05-21 Víctor Elvira , Luca Martino , David Luengo , Mónica F. Bugallo

One of the primary goals of statistical precision medicine is to learn optimal individualized treatment rules (ITRs). The classification-based, or machine learning-based, approach to estimating optimal ITRs was first introduced in…

Methodology · Statistics 2024-06-18 Sophia Yazzourh , Nikki L. B. Freeman

By using some deep tools from microlocal analysis, the authors of the papers (Ann. of Math., 165 (2007), 567--591, J. Amer. Math. Soc., 23 (2010), 655--691; Invent. Math., 178 (2009), 119--171; Duke Math. J., 158(2011), 83--120) have…

Analysis of PDEs · Mathematics 2023-10-03 Zengyu Li , Qi Lü

We study the averaging-based distributed optimization solvers over random networks. We show a general result on the convergence of such schemes using weight-matrices that are row-stochastic almost surely and column-stochastic in expectation…

Optimization and Control · Mathematics 2020-10-06 Adel Aghajan , Behrouz Touri
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