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The main objective of this paper is to derive the optimality conditions for one type of fuzzy optimization problems. At the beginning, we define a cone of descent direction for fuzzy optimization, and prove that its intersection with the…

Optimization and Control · Mathematics 2023-08-07 Fangfang Shi , Guoju Ye , Wei Liu , Debdas Ghosh

Mutual localization is essential for coordination and cooperation in multi-robot systems. Previous works have tackled this problem by assuming available correspondences between measurements and received odometry estimations, which are…

Robotics · Computer Science 2022-03-18 Yingjian Wang , Xiangyong Wen , Longji Yin , Chao Xu , Yanjun Cao , Fei Gao

Creating meaningful interpretations for black-box machine learning models involves balancing two often conflicting objectives: accuracy and explainability. Exploring the trade-off between these objectives is essential for developing…

Machine Learning · Computer Science 2025-08-22 Aniruddha Joshi , Supratik Chakraborty , S Akshay , Shetal Shah , Hazem Torfah , Sanjit Seshia

In this paper, we find a non-dominated solution of a fuzzy maximum-return problem ( unconstrained single-variable fuzzy optimization problem ) . We establish Newton method to find the solution of the unconstrained single-variable fuzzy…

General Mathematics · Mathematics 2018-02-27 U. M. Pirzada , D. C. Vakaskar

In this paper, I obtain an $S$-type fuzzy point when two fuzzy numbers for two independent variables and a corresponding fuzzy number for the dependent variable are given. A comprehensive study on a conceptualization of a fuzzy plane as a…

General Mathematics · Mathematics 2024-03-20 Diksha Gupta

Multi-objective optimization problems can be found in many real-world applications, where the objectives often conflict each other and cannot be optimized by a single solution. In the past few decades, numerous methods have been proposed to…

Machine Learning · Computer Science 2024-07-24 Xi Lin , Xiaoyuan Zhang , Zhiyuan Yang , Fei Liu , Zhenkun Wang , Qingfu Zhang

New types of systems of fuzzy relation inequalities and equations, called weakly linear, have been recently introduced in [J. Ignjatovi\'c, M. \'Ciri\'c, S. Bogdanovi\'c, On the greatest solutions to weakly linear systems of fuzzy relation…

The Multi-Objective Mixed-Integer Programming (MOMIP) problem is one of the most challenging. To derive its Pareto optimal solutions one can use the well-known Chebyshev scalarization and Mixed-Integer Programming (MIP) solvers. However,…

Optimization and Control · Mathematics 2024-01-02 Grzegorz Filcek , Janusz Miroforidis

The theoretical analysis of multi-class classification has proved that the existing multi-class classification methods can train a classifier with high classification accuracy on the test set, when the instances are precise in the training…

Machine Learning · Computer Science 2022-08-24 Guangzhi Ma , Jie Lu , Feng Liu , Zhen Fang , Guangquan Zhang

In a multiple partners matching problem the agents can have multiple partners up to their capacities. In this paper we consider both the two-sided many-to-many stable matching problem and the one-sided stable fixtures problem under…

Computer Science and Game Theory · Computer Science 2022-02-14 Péter Biró , Gergely Csáji

Autonomous navigation often requires the simultaneous optimization of multiple objectives. The most common approach scalarizes these into a single cost function using a weighted sum, but this method is unable to find all possible trade-offs…

Robotics · Computer Science 2026-04-07 Krishna Kalavadia , Shamak Dutta , Yash Vardhan Pant , Stephen L. Smith

In present days remote sensing is most used application in many sectors. This remote sensing uses different images like multispectral, hyper spectral or ultra spectral. The remote sensing image classification is one of the significant…

Computer Vision and Pattern Recognition · Computer Science 2014-07-18 T. Sarath , G. Nagalakshmi

In this paper we are concerned with three lattice problems: the lattice packing problem, the lattice covering problem and the lattice packing-covering problem. One way to find optimal lattices for these problems is to enumerate all finitely…

Metric Geometry · Mathematics 2008-09-26 Achill Schuermann , Frank Vallentin

This paper studies a class of multi-robot coordination problems where a team of robots aim to reach their goal regions with minimum time and avoid collisions with obstacles and other robots. A novel numerical algorithm is proposed to…

Optimization and Control · Mathematics 2020-09-02 Guoxiang Zhao , Minghui Zhu

We study a specific convex maximization problem in n-dimensional space. The conjectured solution is proved to be a vertex of the polyhedral feasible region, but only a partial proof of local maximality is known. Integer sequences with…

Optimization and Control · Mathematics 2007-05-23 Steven Finch

As machine learning (ML) applications grow increasingly complex in recent years, modern ML frameworks often need to address multiple potentially conflicting objectives with coupled decision variables across different layers. This creates a…

Machine Learning · Computer Science 2025-11-12 Zhiyao Zhang , Zhuqing Liu , Xin Zhang , Wen-Yen Chen , Jiyan Yang , Jia Liu

This paper proposes a method to compute camera 6Dof poses to achieve a user defined coverage. The camera placement problem is modeled as a combinatorial optimization where given the maximum number of cameras, a camera set is selected from a…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Akshay Malhotra , Dhananjay Singh , Tushar Dadlani , Luis Yoichi Morales

We consider a generalization of the classical planar maximum coverage location problem (PMCLP) in which partial coverage is allowed, facilities have adjustable quality of service (QoS) or service range, and demand zones and service zone of…

Optimization and Control · Mathematics 2020-12-17 Manish Bansal , Parshin Shojaee

The paper deals with a lot sizing problem with ill-known demands modeled by fuzzy intervals whose membership functions are possibility distributions for the values of the uncertain demands. Optimization criteria, in the setting of…

Other Computer Science · Computer Science 2012-10-22 Romain Guillaume , Przemyslaw Kobylanski , Pawel Zielinski

Multi-objective optimization can be found in many real-world applications where some conflicting objectives can not be optimized by a single solution. Existing optimization methods often focus on finding a set of Pareto solutions with…

Machine Learning · Computer Science 2026-01-21 Xi Lin , Yilu Liu , Xiaoyuan Zhang , Fei Liu , Zhenkun Wang , Qingfu Zhang