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Multi-criteria Radio Frequency Identification Approach for Manufacturing Company Selection Based on Partitioned Maclaurin Symmetric Mean Operators Under Complex Intuitionistic Fuzzy Set Environment

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International Journal of Fuzzy Systems 2024年第5期26卷 1730-1748页

作者： Azam, Muhammad Jana, Chiranjibe Khan, Muhammad Sajjad Ali Pal, Madhumangal Xin, Qin Yang, Shilin Sarkar, Biswajit Faculty of Science Beijing University of Technology Beijing100022 China Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore721102 India Department of Mathematics Khushal Khan Khattak University Karak Khyber Pakhtunkhwa Karak27200 Pakistan Faculty of Science and Technology University of the Faroe Islands Tórshavn Faroe Islands Department of Industrial Engineering Yonsei University 50 Yonsei-ro Sinchon-dong Seodaemun-gu Seoul03722 Korea Republic of Center for Global Health Research Saveetha Medical College Saveetha Institute of Medical and Technical Sciences Saveetha University Tamil Nadu 600077 Chennai India Department of Industrial Engineering and Management National Taipei University of Technology Taipei City 106344 Taiwan Chennai602105 India

The theory of intuitionistic fuzzy sets (IFSs) plays an essential role to deal with uncertainty and ambiguity. However, the IFSs deal only with anticipation, not periodicity. But, complex IFSs (CIFS) can handle both uncertainties and periodicity at a time. Therefore, this paper focuses on a new multi-criteria decision making (MCDM) approach using Maclaurin symmetric mean (MSM) operator in connection with the CIFS setting. Then, we develop some CIF partitioned based MSM (CIFPMSM) operators and their weighted form by considering that all the criteria can be arranged into some groups. The proposed operators not only deal with the interrelationship among criteria but also deal with the partitioned relationship among criteria. We discuss the properties of these proposed operators and investigate their cases. Finally, a decision-making approach for radio frequency identification (RFID) for manufacturing companies is developed based on the proposed operators and compared the results with the existing method to show the application and feasibility of the proposed method. © The Author(s) under exclusive licence to Taiwan Fuzzy Systems Association 2024.

关键词： Decision making

Adaptive flexibility function in smart energy systems: A linearized price-demand mapping approach

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arXiv 2023年

作者： Tohidi, Seyed Shahabaldin Madsen, Henrik Tsaousoglou, Georgios Ritschel, Tobias K.S. Department of Applied Mathematics and Computer Science Technical University of Denmark Kgs. LyngbyDK-2800 Denmark

This paper proposes an adaptive mechanism for price signal generation using a piecewise linear approximation of a flexibility function with unknown parameters. In this adaptive approach, the price signal is parameterized and the parameters are changed adaptively such that the output of the flexibility function follows the reference demand signal provided by the involved aggregator. This is guaranteed using the Lyapunov stability theorem. The proposed method does not require an estimation algorithm for unknown parameters, that eliminates the need for persistency of excitation of signals, and consequently, simplifies offering the flexibility services. Furthermore, boundedness of the price signal is ensured using a projection algorithm in the adaptive system. We present simulation results that demonstrate the price generation results using the proposed approaches. Copyright © 2023, The Authors. All rights reserved.

关键词： Piecewise linear techniques

Fairness measures for biometric quality assessment

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arXiv 2024年

作者： Dörsch, André Schlett, Torsten Munch, Peter Rathgeb, Christian Busch, Christoph da/sec - Biometrics and Security Research Group Hochschule Darmstadt Germany Department of Applied Mathematics and Computer Science Technical University of Denmark Denmark

Quality assessment algorithms measure the quality of a captured biometric sample. Since the sample quality strongly affects the recognition performance of a biometric system, it is essential to only process samples of sufficient quality and discard samples of low-quality. Even though quality assessment algorithms are not intended to yield very different quality scores across demographic groups, quality score discrepancies are possible, resulting in different discard ratios. To ensure that quality assessment algorithms do not take demographic characteristics into account when assessing sample quality and consequently to ensure that the quality algorithms perform equally for all individuals, it is crucial to develop a fairness measure. In this work we propose and compare multiple fairness measures for evaluating quality components across demographic groups. Proposed measures, could be used as potential candidates for an upcoming standard in this important field. Copyright © 2024, The Authors. All rights reserved.

关键词： Data quality

A Dynamical Simulation Model of a Cement Clinker Rotary Kiln

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arXiv 2024年

作者： Svensen, Jan Lorenz da Silva, Wilson Ricardo Leal Merino, Javier Pigazo Sampath, Dinesh Jørgensen, John Bagterp DTU Compute Department of Applied Mathematics and Computer Science Technical University of Denmark Lyngby2800 Denmark FLSmdth A/S Valby2500 Denmark

This study provides a systematic description and results of a dynamical simulation model of a rotary kiln for clinker, based on first engineering principles. The model is built upon thermophysical, chemical, and transportation models for both the formation of clinker phases and fuel combustion in the kiln. The model is presented as a 1D model with counter-flow between gas and clinker phases and is demonstrated by a simulation using industrially relevant input. An advantage of the proposed model is that it provides the evolution of the individual compounds for both the fuel and clinker. As such, the model comprises a stepping stone for evaluating the development of process control systems for existing cement plants. Copyright © 2024, The Authors. All rights reserved.

关键词： Cements

Applications of the Second-Order Esscher Pricing in Risk Management

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arXiv 2024年

作者： Choulli, Tahir Elazkany, Ella Vanmaele, Michèle Mathematical and Statistical Sciences Dept University of Alberta Edmonton Canada Department of Applied Mathematics Computer Science and Statistics Ghent University Ghent Belgium

This paper explores the application and significance of the second-order Esscher pricing model in option pricing and risk management. We split the study into two main parts. First, we focus on the constant jump diffusion (CJD) case, analyzing the behavior of option prices as a function of the second-order parameter and the resulting pricing intervals. Using real data, we perform a dynamic delta hedging strategy, illustrating how risk managers can determine an interval of value-at-risks (VaR) and expected shortfalls (ES), granting flexibility in pricing based on additional information. We compare our pricing interval to other jump-diffusion models, showing its comprehensive risk factor incorporation. The second part extends the second-order Esscher pricing to more complex models, including the Merton jump-diffusion, Kou’s Double Exponential jump-diffusion, and the Variance Gamma model. We derive option prices using the fast Fourier transform (FFT) method and provide practical formulas for European call and put options under these models. © 2024, CC BY-SA.

关键词： Fast Fourier transforms

The maximum number of connected sets in regular graphs

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arXiv 2023年

作者： Cambie, Stijn Goedgebeur, Jan Jooken, Jorik Department of Computer Science KU Leuven Campus Kulak-Kortrijk Kortrijk8500 Belgium Department of Applied Mathematics Computer Science and Statistics Ghent University Ghent9000 Belgium

MSC Codes 05C07, 05C35, 05C40, 05C48, 05C50, 05C69, 05C85, 68R05, 68R10We improve the best known lower bounds on the exponential behavior of the maximum of the number of connected sets, NpGq, and dominating connected sets, NdompGq, for regular graphs. These lower bounds are improved by constructing a family of graphs defined in terms of a small base graph (a Moore graph), using a combinatorial reduction of these graphs to rectangular boards followed by using linear algebra to show that the lower bound is related to the largest eigenvalue of a coefficient matrix associated with the base graph. We also determine the exact maxima of NpGq and NdompGq for cubic and quartic graphs of small order. We give multiple results in favor of a conjecture that each Moore graph M maximizes the base indicating the exponential behavior of the number of connected vertex subsets among graphs with at least |M| vertices and the same regularity. We improve the best known upper bounds for NpGq and NdompGq conditional on this conjecture. © 2023, CC BY.

关键词： Graph theory

A first engineering principles model for dynamical simulation of cement pyro-process cyclones

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arXiv 2024年

作者： Svensen, Jan Lorenz Cantisani, Nicola da Silva, Wilson Ricardo Leal Merino, Javier Pigazo Sampath, Dinesh Jørgensen, John Bagterp DTU Compute Department of Applied Mathematics and Computer Science Technical University of Denmark Lyngby2800 Denmark FLSmidth Cement Valby2500 Denmark

We provide a cyclone model for dynamical simulations in the pyro-process of cement production. The model is given as an index-1 differential-algebraic equation (DAE) model based on first engineering principle. Using a systematic approach, the model integrates cyclone geometry, thermo-physical aspects, stoichiometry and kinetics, mass and energy balances, and algebraic equations for volume and internal energy. The paper provides simulation results that fit expected dynamics. The cyclone model is part of an overall model for dynamical simulations of the pyro-process in a cement plant. This model can be used in the design of control and optimization systems to improve energy efficiency and reduce CO2 emission. Copyright © 2024, The Authors. All rights reserved.

关键词： Cements

SinFusion: Training Diffusion Models on a Single Image or Video

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arXiv 2022年

作者： Nikankin, Yaniv Haim, Niv Irani, Michal Department of Computer Science and Applied Mathematics Weizmann Institute of Science Rehovot Israel

Diffusion models exhibited tremendous progress in image and video generation, exceeding GANs in quality and diversity. However, they are usually trained on very large datasets and are not naturally adapted to manipulate a given input image or video. In this paper we show how this can be resolved by training a diffusion model on a single input image or video. Our image/video-specific diffusion model (SinFusion) learns the appearance and dynamics of the single image or video, while utilizing the conditioning capabilities of diffusion models. It can solve a wide array of image/video-specific manipulation tasks. In particular, our model can learn from few frames the motion and dynamics of a single input video. It can then generate diverse new video samples of the same dynamic scene, extrapolate short videos into long ones (both forward and backward in time) and perform video upsampling. Most of these tasks are not realizable by current video-specific generation methods. © 2022, CC BY.

关键词： Large dataset

The second-order Esscher martingale densities for continuous-time market models

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arXiv 2024年

In this paper, we introduce the second-order Esscher pricing notion for continuous-time models. Depending whether the stock price S or its logarithm is the main driving noise/shock in the Esscher definition, we obtained two classes of second-order Esscher densities called linear class and exponential class respectively. Using the semimartingale characteristics to parametrize S, we characterize the second-order Esscher densities (exponential and linear) using pointwise equations. The role of the second order concept is highlighted in many manners and the relationship between the two classes is singled out for the one-dimensional case. Furthermore, when S is a compound Poisson model, we show how both classes are related to the Delbaen-Haenzendonck’s risk-neutral measure. Afterwards, we restrict our model S to follow the jump-diffusion model, for simplicity only, and address the bounds of the stochastic Esscher pricing intervals. In particular, no matter what is the Esscher class, we prove that both bounds (upper and lower) are solutions to the same linear backward stochastic differential equation (BSDE hereafter for short) but with two different constraints. This shows that BSDEs with constraints appear also in a setting beyond the classical cases of constraints on gain-processes or constraints on portfolios. We prove that our resulting constrained BSDEs have solutions in our framework for a large class of claims’ payoffs including any bounded claim, in contrast to the literature, and we single out the monotonic sequence of BSDEs that "naturally" approximate it as well. Copyright © 2024, The Authors. All rights reserved.

关键词： Costs