Control and Optimization in Applied Mathematics

Research Article Control Theory & Systems

Event-Triggered Fault Detection and Control in Nonlinear Affine Multi-Agent Systems with Affine Parameter Variations‎

Mohammad Zangouei; Naser Pariz; Reihaneh Kardehi Moghaddam

Volume 10, Issue 2 , July 2025, Pages 1-50

https://doi.org/10.30473/coam.2025.75259.1324

Abstract

In this paper, we present an event-triggered fault-tolerant control framework for nonlinear affine multi-agent systems, together with a state-observer–based fault detection scheme. The proposed approach integrates an event-triggered controller that reduces communication and computation while guaranteeing ... Read More

Research Article

Deep Learning-Based Decision Fusion for Breast Cancer Classification Using Multi-Source Medical Data

Mohammad Zahaby; Mostafa Boroumandzadeh; Iman Makhdoom

Volume 10, Issue 2 , July 2025, Pages 51-73

https://doi.org/10.30473/coam.2025.73974.1295

Abstract

Breast cancer is one of the most prevalent cancers among women and remains a leading cause of cancer-related mortality‎. ‎Mammography is the primary imaging modality for the early detection of breast tumors‎. ‎Providing timely and highly accurate diagnoses is a top priority for physicians ... Read More Breast cancer is one of the most prevalent cancers among women and remains a leading cause of cancer-related mortality‎. ‎Mammography is the primary imaging modality for the early detection of breast tumors‎. ‎Providing timely and highly accurate diagnoses is a top priority for physicians and healthcare providers in the management of critical illnesses‎. ‎This paper presents a Medical Decision Support System (MDSS) that utilizes Yager’s rule of combination to classify and diagnose breast cancer patients by integrating information from multiple data sources‎. ‎Medical text reports (MTR) and key feature vectors extracted from electronic health records (EHR) were reduced using Principal Component Analysis (PCA) and then classified using Convolutional Neural Networks (CNN)‎, ‎Multi-Layer Perceptrons (MLP)‎, ‎and Support Vector Machines (SVM)‎. ‎Medical images were preprocessed and classified using a U-Net model‎. ‎A novel decision fusion algorithm‎, ‎called weighted Yager‎, ‎was introduced to determine the Breast Imaging-Reporting and Data System (BI-RADS) categories‎, ‎taking into account the accuracy of each class in each classifier as evidence‎. ‎The performance of the proposed system was evaluated based on standard metrics including accuracy‎, ‎sensitivity‎, ‎specificity‎, ‎positive predictive value (PPV)‎, ‎negative predictive value (NPV)‎, ‎and F1-score‎. ‎The proposed system achieved the highest accuracy of 96.23\%‎, ‎outperforming individual classifiers (CNN‎: ‎86.37%‎, ‎MLP‎: ‎92.11%‎, ‎SVM‎: ‎87.92%‎, ‎U-Net‎: ‎92.97%‎, ‎and Yager‎: ‎93.49%)‎. ‎The weighted Yager fusion method yielded the best performance with an accuracy of 96.23%‎, ‎sensitivity of 98.80%‎, ‎specificity of 85.90%‎, ‎PPV of 86.21%‎, ‎NPV of 97.82%‎, ‎and F1-score of 85.87%‎. ‎These findings demonstrate that integrating decisions from multiple classifiers significantly improves diagnostic accuracy and robustness‎.

Research Article Applied & Interdisciplinary

A New Energy-Efficient Clustering in Wireless Sensor Networks Using an Adaptive Fuzzy Neural Network Approach

Ahmad Jalili; Fatemeh Babakordi

Volume 10, Issue 2 , July 2025, Pages 75-102

https://doi.org/10.30473/coam.2025.74415.1303

Abstract

Energy constraint is the most critical challenge in Wireless Sensor Networks (WSNs)‎, ‎particularly in dynamic environments with mobile nodes‎. ‎This paper proposes an intelligent clustering protocol based on Fuzzy Neural Networks (FNN) that adaptively optimizes energy consumption by ... Read More

Research Article Optimization & Operations Research

Network Data Envelopment Analysis and Uncertainty in Decision-Making‎: ‎A Three-Stage Model Based on Liu's Uncertainty Theory

Jafar Pourmahmoud; Ahad Abbasi; Alireza Ghaffari-Hadigheh

Volume 10, Issue 2 , July 2025, Pages 103-133

https://doi.org/10.30473/coam.2025.73893.1293

Abstract

Data Envelopment Analysis (DEA) is a well-established methodology for assessing the efficiency of decision-making units‎. ‎In complex systems comprising multiple interconnected subsections‎, ‎Network DEA provides a structured framework for efficiency evaluation‎. ‎However‎, ... Read More

Research Article Optimization & Operations Research

A Computer Algebra Approach to Linear ODE Systems with Parametric Coefficients

Mahdi Dehghani Darmian

Volume 10, Issue 2 , July 2025, Pages 135-152

https://doi.org/10.30473/coam.2025.74498.1307

Abstract

This paper analyzes systems of linear first-order ordinary differential equations (ODEs) with parametric coefficients‎, ‎a class of problems that arises in control theory‎, ‎optimization‎, ‎and applied mathematics‎. ‎We introduce the notion of a comprehensive solution ... Read More

Research Article Control Theory & Systems

Existence and Uniqueness of High-Order Caputo Fractional Boundary Value Problems under General Non-Local Multi-Point Conditions‎: ‎Analytical and Semi-Analytical Approaches

Salam Mcheik‎; Elyas Shivanian; Youssef El Seblani

Volume 10, Issue 2 , July 2025, Pages 153-184

https://doi.org/10.30473/coam.2025.74523.1309

Abstract

In this paper‎, ‎we investigate the existence and uniqueness of solutions for a high-order boundary value problem involving non-integer derivatives‎, ‎specifically utilizing the Caputo fractional derivative‎. ‎The problem is subject to non-local boundary conditions‎. ‎To ... Read More

Research Article Control Theory & Systems

An Enhanced QAOM-Based MAGDM Framework: ‎Integrating Entropy Weighting and Expert Judgment Aggregation

Ali Dehghani Filabadi; Hossein Nahid Titkanlue

Volume 10, Issue 2 , July 2025, Pages 185-212

https://doi.org/10.30473/coam.2025.73429.1283

Abstract

Addressing complex decision-making scenarios‎, ‎particularly those involving multiple criteria and expert perspectives‎, ‎often requires robust frameworks capable of managing uncertainty and qualitative assessments‎. ‎The Qualitative Absolute Order-of-Magnitude (QAOM) model offers ... Read More

Applied Article Control Theory & Systems

Hybrid RBF Method for Solving Fractional PDE-Constrained Optimal Control Problems

Maha Mohsin Mohammed Ali; Mahmoud Mahmoudi; Majid Darehmiraki

Volume 10, Issue 2 , July 2025, Pages 213-240

https://doi.org/10.30473/coam.2025.73804.1289

Abstract

This study addresses the numerical solution of an optimal control problem governed by a fractional convection–reaction–diffusion partial differential equation. The approach utilizes Radial Basis Function–Partition of Unity (RBF-PU) methods combined with the Grünwald-Letnikov approximation ... Read More

Research Article Optimization & Operations Research

Optimizing Deep Learning Hyperparameters Using Interpolation-Based Optimization

Michael Oluwaseun Ayansiji; Friday Zinzendoff Okwonu

Volume 10, Issue 2 , July 2025, Pages 241-253

https://doi.org/10.30473/coam.2025.74381.1304

Abstract

Hyperparameter optimization (HPO) is essential for maximizing the performance of deep learning models‎. ‎Traditional approaches, such as grid search and Bayesian Optimization (BO), are widely used but can be computationally expensive. ‎ We present Interpolation-Based Optimization (IBO), a ... Read More

Research Article Control Theory & Systems

Novel Schemes for Approximate Solutions of Optimal Control Problems via a Hybrid Evolutionary and Clustering Algorithm

Maria Afsharirad

Volume 10, Issue 2 , July 2025, Pages 255-271

https://doi.org/10.30473/coam.2025.74474.1306

Abstract

This paper presents a hybrid scheme for solving optimal control problems‎. ‎Discretizing the time interval and assuming a constant control value on each sub-interval transforms the optimal control problem into an assignment problem‎. ‎To cluster feasible solutions, a novel method is proposed ... Read More

Research Article Control Theory & Systems

Solution Techniques for Fuzzy Graph Partitioning Based on Heuristic Optimization

Mohammad Alsaeedi; Mostafa Tavakolli; Ahmad Abouyee; Khatere Ghorbani Moghadam; Reza Ghanbari

Volume 10, Issue 2 , July 2025, Pages 273-293

https://doi.org/10.30473/coam.2025.74009.1296

Abstract

In this study‎, ‎we proposed a novel graph partitioning problem where the edges are characterized by trapezoidal fuzzy numbers‎. ‎A linear ranking function is employed to establish an order among these fuzzy numbers‎. ‎We derive the necessary conditions for the existence of an ... Read More

Research Article Control Theory & Systems

Optimal Control of the Van der Pol Oscillator Problem by Using Orthogonal Polynomial-Based Optimization

Reza Dehghan

Volume 10, Issue 2 , July 2025, Pages 295-305

https://doi.org/10.30473/coam.2025.73586.1286

Abstract

The orthogonal polynomials approximation method is widely regarded as a highly effective and versatile technique for solving optimal control problems in nonlinear systems‎. ‎This powerful approach has found extensive applications in both theoretical research and practical engineering‎, ‎demonstrating ... Read More

Solving System of Nonlinear Equations by using a New Three-Step Method

Volume 1, Issue 2 , October 2016, , Pages 53-62

Abstract

In this paper‎, ‎we suggest a fifth order convergence three-step method for solving system of nonlinear equations‎. ‎Each iteration of the method requires two function evaluations‎, ‎two first Fr\'{e}chet derivative evaluations and two matrix inversions‎. ‎Hence‎, ... Read More

Comparative Analysis of Machine Learning Algorithms with Optimization Purposes

Volume 1, Issue 2 , October 2016, , Pages 63-75

Abstract

The field of optimization and machine learning are increasingly interplayed and optimization in different problems leads to the use of machine learning approaches‎. ‎Machine learning algorithms work in reasonable computational time for specific classes of problems and have important role in extracting ... Read More

Approximate Pareto Optimal Solutions of Multi objective Optimal Control Problems by Evolutionary Algorithms

Volume 1, Issue 1 , April 2016, , Pages 1-19

Abstract

In this paper an approach based on evolutionary algorithms to find Pareto optimal pair of state and control for multi-objective optimal control problems (MOOCP)'s is introduced‎. ‎In this approach‎, ‎first a discretized form of the time-control space is considered and then‎, ‎a ... Read More

Fuzzy Number-Valued Fuzzy Graph

Volume 1, Issue 2 , October 2016, , Pages 77-86

Abstract

Graph theory has an important role in the area of applications of networks and clustering‎. ‎In the case of dealing with uncertain data‎, ‎we must utilize ambiguous data such as fuzzy value‎, ‎fuzzy interval value or values of fuzzy number‎. ‎In this study‎, ‎values ... Read More

The Control Parametrization Enhancing Technique for Multi-Objective Optimal Control of HIV Dynamic

Volume 1, Issue 2 , October 2016, , Pages 1-21

Abstract

In this paper‎, ‎a computational approach is adopted for solving a multi-objective optimal control problem (MOOCP) formulation of optimal drug scheduling in human immunodeficiency (HIV) virus infected by individuals‎. ‎The MOOCP‎, ‎which uses a mathematical model of HIV infection‎, ... Read More

Number of Volumes	10
Number of Issues	20
Article View	97,695
PDF Download	80,723
View Per Article	678.44
PDF Download Per Article	560.58
Acceptance Rate	60
Time to Accept (Days)	145
Number of Indexing Databases	8

Bibliographic Information
Title	Control and Optimization in Applied Mathematics -COAM
ISSN	Print:2383-3130 Online: 2538-5615
Coverage	Control Theory Optimization Optimal Control Robust Control Fuzzy Control Stochastic Systems Control Theory in Medicine Distributed Systems Expert Systems Adaptive Control Stability Analysis Non-Linear Control Calculus of Variations Operation Research Modeling Analysis and Its Application in Optimization Mathematical Programming Fractional Systems Soft Computing Project Planning and Control Hybrid Systems Mathematical Finance Numerical Methods, Simulation Management and Optimization Graph Theory and Its Applications Optimization Algorithms Deep Learning, Data Mining Transportation and Traffic Optimization Artificial Neural Networks Data Envelopment Analysis-DEA Optimization in Mathematical Education Related Topics
Language	English
Start Year	2013
Frequency	Bi-quarterly
Place of Publication	Iran
Publisher	Payame Noor University
Status	Active
Initial review period:	7 working days
Publication method	Online and print publishing
Type of publishable articles	Research/Original/Regular Article, Review Article, Short Paper, Case-study, Methodologies, Applied Article, Conceptual Paper, Viewpoint/Perspective/Opinion, Promotional Paper
Refereed	Yes
Type of Access	Open Access (OA)
Type of License	CC- BY
Plagiarism Detection Software	iThenticate
Type of Publication	Online submission: Free Full-text access: Open Access
Revenue Sources	Institutional support, Donation
Type of Material	Serial (Periodical)
Email	mathco@pnu.ac.ir
This journal is subject to COPE criteria concerning the rules of Publication ethics and follows the executive regulations for preventing and combating fraud in scientific works.

Volume 10 (2025)

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Volume 8 (2023)

Volume 7 (2022)

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Volume 5 (2020)

Volume 4 (2019)

Volume 3 (2018)

Volume 2 (2017)

Volume 1 (2016)

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