A hybrid singular value thresholding algorithm with diagonal-modify for low-rank matrix recovery by Ruiping Wen, Liang Zhang, Yalei Pei

“…In this paper, a new hybrid singular value thresholding with diagonal-modify algorithm based on the augmented Lagrange multiplier (ALM) method was proposed for low-rank matrix recovery, in which only part singular values were treated by a hybrid threshold operator with diagonal-update, and which allowed the algorithm to make use of simple arithmetic operation and keep the computational cost of each iteration low. …”
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Multifeature Contrast Enhancement Algorithm for Digital Media Images Based on the Diffusion Equation by Jijun Wang, Yi Yuan, Guoxiang Li

“…To meet the real-time applications in the field of video surveillance, this paper focuses on the optimization of the algorithm program, including software pipeline optimization, operation unit balancing, single instruction multiple data optimization, arithmetic operation optimization, and onchip storage optimization. …”
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Nonlinear Triangular Intuitionistic Fuzzy Number and Its Application in Linear Integral Equation by Sankar Prasad Mondal, Adrijit Goswami, Sujit Kumar De

“…In this paper we introduce the different arithmetic operations on nonlinear intuitionistic fuzzy number (NIFN). …”
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Choice between helping vs not helping: level of mastery in the task by Claudio Carpio, Linda Pacheco-León, Maricela Chaparro, Jamillet Carranza, Raúl Narayanam-Rodríguez, Virginia Pacheco

“…Based on this, the objective of this work consisted of evaluating the effects of different levels of domain in an arithmetic task (high and low) on the choice of helping / not helping a partner to perform arithmetic operations. The task was to perform different types of arithmetic operations (addition, subtraction, multiplication and division) to obtain points. …”
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The Approximation of a Modified Baskakov Operator by Ma Yingdian, Wang Weimeng

“…Because of their simple form and high quality, linear arithmetical operators, particularly linear positive operators, are very popular. …”
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Fuzzy Approximate Solution of Positive Fully Fuzzy Linear Matrix Equations by Xiaobin Guo, Dequan Shang

“…The fuzzy matrix systems is extended into three crisp systems of linear matrix equations according to arithmetic operations of LR fuzzy numbers. Based on pseudoinverse of matrix, the fuzzy approximate solution of original fuzzy systems is obtained by solving the crisp linear matrix systems. …”
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Solution of Linear and Quadratic Equations Based on Triangular Linear Diophantine Fuzzy Numbers by Naveed Khan, Naveed Yaqoob, Mudassir Shams, Yaé Ulrich Gaba, Muhammad Riaz

“…We first introduce the concept of TLDFNs and then study the arithmetic operations on these numbers. We find a method for the ranking of these TLDFNs. …”
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Arithmetically Fast Position Transformation for View Synthesis and Depth Estimation by Krzysztof Wegner, Tomasz Grajek, Krzysztof Klimaszewski

“…As a result, the number of necessary arithmetic operations is reduced and some of the calculations can be reused for consecutive pixel position transformations. …”
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Approximate Solution of LR Fuzzy Sylvester Matrix Equations by Xiaobin Guo, Dequan Shang

“…Then we extend the fuzzy linear system into two systems of linear equations according to the arithmetic operations of LR fuzzy numbers. The fuzzy approximate solution of the original fuzzy matrix equation is obtained by solving the crisp linear systems. …”
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Design of a Mathematical Unit in FPGA for the Implementation of the Control of a Magnetic Levitation System by Juan José Raygoza-Panduro, Susana Ortega-Cisneros, Jorge Rivera, Alberto de la Mora

“…The core is designed to calculate trigonometric and arithmetic operations in such a way that each function is performed in a clock cycle. …”
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Design of an Efficient Real-Time Algorithm Using Reduced Feature Dimension for Recognition of Speed Limit Signs by Hanmin Cho, Seungwha Han, Sun-Young Hwang

“…Experimental results show that arithmetic operations are reduced by about 60%, while hit rates reach about 100% compared to previous works.…”
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Optimal capacity planning with economic emission considerations in isolated solar-wind-diesel microgrid using combined arithmetic-golden jackal optimization by Sujoy Barua, Adel Merabet, Ahmed Al-Durra, Tarek El Fouly, Ehab F. El-Saadany

“…This combination enhances the optimization by considering the balance in exploration and exploitation offered by the arithmetic operators of the arithmetic optimization algorithm and the dynamic adjustment by the adaptive search of the golden jackal optimization. …”
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Designing an Intuitionistic Fuzzy Network Data Envelopment Analysis Model for Efficiency Evaluation of Decision-Making Units with Two-Stage Structures by Nafiseh Javaherian, Ali Hamzehee, Hossein Sayyadi Tooranloo

“…The paper first introduces two-stage DEA models, then explains how these models can be modified with intuitionistic fuzzy coefficients, and finally describes how arithmetic operators for intuitionistic fuzzy numbers can be used for a conversion into crisp two-stage structures. …”
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Fuzzy Triangular Aggregation Operators by Ulrich Florian Simo, Henri Gwét

“…We also use the concept of triangular norms (t-norms and t-conorms) as pseudo-arithmetic operations. As a result, we get notably the fuzzy triangular weighted arithmetic (FTWA), the fuzzy triangular ordered weighted arithmetic (FTOWA), the fuzzy generalized triangular weighted arithmetic (FGTWA), the fuzzy generalized triangular ordered weighted arithmetic (FGTOWA), the fuzzy triangular weighted quasi-arithmetic (Quasi-FTWA), and the fuzzy triangular ordered weighted quasi-arithmetic (Quasi-FTOWA) operators. …”
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Linear Programming Problem with Interval Type 2 Fuzzy Coefficients and an Interpretation for Its Constraints by A. Srinivasan, G. Geetharamani

“…In this paper, first, perfectly normal interval type 2 trapezoidal fuzzy numbers with their left-hand and right-hand spreads and their core have been introduced, which are normal and convex; then a new type of fuzzy arithmetic operations for perfectly normal interval type 2 trapezoidal fuzzy numbers has been proposed based on the extension principle of normal type 1 trapezoidal fuzzy numbers. …”
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Arithmetic textbooks panorama of the decade after the lifting of the ban on Lithuanian publications by Juozas Banionis

“…All the books step by step explained in the Lithuanian language four arithmetic operations up to ten, later a hundred and finally up to a thousand. …”
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Unlocking mathematical marvels: Exploring number patterns in the Rangku Alu traditional game by Suci Pangestuti, Rully Charitas Indra Prahmana, Frankie A. Fran

“…These patterns include both odd and even sequences, as well as basic arithmetic operations. Rangku Alu not only entertains but also provides a unique setting for exploring numerical concepts. …”
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Optoelectric coordinated modulation of resistive switching behavior in perovskite based synaptic device by Yucheng Wang, Ruixi Huang, Wenyi Zhang, Dingyun Guo, Jiawei Zheng, Hexin Wang, Fobao Huang, Zhuoya Wang, He Guan

“…By leveraging the linear characteristics of synaptic plasticity, arithmetic operations, Pavlovian conditioned reflex and vision recognition are achieved. …”
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Design of generic vedic ALU using reversible logic by Kanchan S. Tiwari

“…The proposed ALU architecture is optimized to perform fundamental arithmetic operations: addition, subtraction, multiplication, and division; as well as bitwise logical operations: AND, OR, and XOR. …”
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Novel Intuitionistic Fuzzy Fault Tree Analysis for Effective Infectious Medical Waste Management by Rocky Khajuria, Komal, Morteza Yazdani

“…The paper proposes an intuitionistic fuzzy fault tree analysis (FFTA) method that quantifies data uncertainty through trapezoidal intuitionistic fuzzy numbers (TrIFN) while novel arithmetic operations are applied for computing the top incident failure possibility. …”
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