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Keyword: AlgebraImproved Fuzzy Time Series Forecasting Model Based on Optimal Lengths of Intervals Using Hedge Algebras and Particle Swarm Optimization
Recently, numerous scholars have suggested fuzzy time series (FTS) models to forecast many different fields. One of the vital issues for high accurate forecasting in FTS model is method of partitioning in Universe of discourse (UoD). In this research, we propose a novel FTS model, which is established by using hedge algebra (HA) and particle…
Read MoreLinear algebra as an alternative approach to the synthesis of digital devices of automation and control systems
The article considers linear algebra as an alternative mathematical tool of logic synthesis of digital structures to Boolean algebra and synthesis methods of digital electronic component base (ECB) on its ground. The methods of solving the applied problems of logic synthesis are shown, including the expansion of an arbitrary logic function by means of monotonic…
Read MoreThe Graded Multidisciplinary Model: Fostering Instructional Design for Activity Development in STEM/STEAM Education
In a challenging and increasingly technological world, it is important to promote critical thinking, multidisciplinary problem solving, and collaboration through STEAM education; however, there are important economic, administrative, and especially pedagogical manage- ment limitations for its implementation at the secondary level. Therefore, this paper presents systematic recommendations for an effective and sustainable implementation of STEAM…
Read MoreGeneralized Integral Transform Method for Bending and Buckling Analysis of Rectangular Thin Plate with Two Opposite Edges Simply Supported and Other Edges Clamped
This paper presents the generalized integral transform method for solving flexural and elastic stability problems of rectangular thin plates clamped along and simply supported along remaining boundaries (x = 0, x = a) (CSCS plate). The considered plate is homogeneous, isotropic and carrying uniformly distributed transversely applied loading causing bending. Also studied, is a plate…
Read MoreMatrix-based Minimal Cut Method and Applications to System Reliability
In this paper, we present a new method to deduce minimal cut sets depending on the minimal path sets of the complex systems (networks) to generate the Incidence Matrix, and then compared it with the truth table of the system. This comparison, based on some algebraic properties, gives minimal-cut sets of the complex network with…
Read MoreNewton-Euler Based Dynamic Modeling and Control Simulation for Dual-Axis Parallel Mechanism Solar Tracker
Dynamic modeling has been a crucial study in many areas of the engineering field. In this paper, we apply the Newton-Euler equation of motion to a two-DOF parallel mechanism solar tracker which is a close loop mechanism. The aim of this study is to show a simulation of the dynamical model with feedback control using…
Read MoreLinear Logic Synthesis of Multi-Valued Sequential Circuits
The basics of unconventional design of current circuits of two-valued and multi-valued memory elements (ME) for storing current digital signals and flip-flops of the main types on their basis are considered. A nontraditional method of ME synthesis is proposed, which is based on the mathematical tool of linear algebra. Linear equations, structural and functional schemes…
Read MoreMatrix Encryption Scheme
In classical cryptography, the Hill cipher is a polygraphic substitution cipher based on linear algebra. In this work, we proposed a new problem applicable to the public key cryptography, based on the Matrices, called “Matrix discrete logarithm problem”, it uses certain elements formed by matrices whose coefficients are elements in a finite field. We have…
Read MoreDesign of Petri Net Supervisor with 1-monitor place for a Class of Behavioral Constraints
This paper studies the design of supervisory controllers with a minimum number of monitor places for Manufacturing System modeled as safe Petri Nets. The proposed approach considers a class of safety specifications known as Behavioral Constraints with a restricted syntax. The set of Behavioral Constraints are represented as predicate logic formulas in normal conjunctive form.…
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