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Journal articles on the topic 'Fuzzy logic. Fuzzy logic Fuzzy mathematics. Logic, Symbolic and mathematical'

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Published: 4 June 2021

Last updated: 12 February 2022

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1

Mewada, Shivlal. "Perspectives of Fuzzy Logic and Their Applications." International Journal of Data Analytics 2, no. 1 (2021): 99–145. http://dx.doi.org/10.4018/ijda.2021010105.

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Fuzzy logic is a highly suitable and applicable basis for developing knowledge-based systems in engineering and applied sciences. The concepts of a fuzzy number plays a fundamental role in formulating quantitative fuzzy variable. These are variable whose states are fuzzy numbers. When in addition, the fuzzy numbers represent linguistic concepts, such as very small, small, medium, and so on, as interpreted in a particular contest, the resulting constructs are usually called linguistic variables. Each linguistic variable the states of which are expressed by linguistic terms interpreted as specif

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Journal, Baghdad Science. "Study and Analysis the Mathematical Operations of Fuzzy Logic." Baghdad Science Journal 6, no. 3 (2009): 526–32. http://dx.doi.org/10.21123/bsj.6.3.526-532.

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The last decade of this 20th century provides a wide spread of applications of one of the computer techniques, which is called Fuzzy Logic. This technique depends mainly on the fuzzy set theory, which is considered as a general domain with respect to the conventional set theory. This paper presents in initiative the fuzzy sets theory and fuzzy logic as a complete mathematics system. Here it was explained the concept of fuzzy set and defined the operations of fuzzy logic. It contains eleven operations beside the other operations which related to fuzzy algebra. Such search is considered as an en

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SHIN, C. Y., and PAUL P. WANG. "ECONOMIC APPLICATIONS OF FUZZY SUBSET THEORY AND FUZZY LOGIC: A BRIEF SURVEY." New Mathematics and Natural Computation 06, no. 03 (2010): 301–20. http://dx.doi.org/10.1142/s1793005710001773.

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Traditional mathematics is the language of precision. Statements are either true or false. But, in reality there are few things that are truly simply true or false. Life is full of shades of grey. Capturing these shades of grey has been problematic using traditional mathematics. Mathematics can model the uncertainty itself but rarely incorporates it into the model. However, an emerging area of mathematical inquiry known as the mathematics of uncertainty seeks to overcome some of these problems by integrating the uncertainly, the shades of grey, directly into the model. Fuzzy theory is one of t

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Sharma, Shubham, and Ahmed J. Obaid. "Mathematical modelling, analysis and design of fuzzy logic controller for the control of ventilation systems using MATLAB fuzzy logic toolbox." Journal of Interdisciplinary Mathematics 23, no. 4 (2020): 843–49. http://dx.doi.org/10.1080/09720502.2020.1727611.

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Harris, J. "Fuzzy logic methods in fatigue and creep." Journal of Strain Analysis for Engineering Design 36, no. 4 (2001): 411–20. http://dx.doi.org/10.1243/0309324011514575.

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Fatigue and creep laboratory data for metals normally exhibit scatter, which implies an element of uncertainty or vagueness in the results. Such data are usually treated by empirical correlations or by mathematical models with some theoretical basis. Confidence limits are sometimes given based upon an assumed probability distribution. On a fine scale, fracture mechanics studies consider the mechanism of crack growth, assuming a uniformly smooth continuum. The treatments aim to provide design working stresses and also the reliability basis for the formulation of inspection and maintenance sched

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Das, Kousik, Sovan Samanta, Kajal De, Xavier Encarnacion, and Chandan Bikash Das. "Ranking of educational institutions using fuzzy logic: a mathematical approach." Afrika Matematika 31, no. 7-8 (2020): 1295–310. http://dx.doi.org/10.1007/s13370-020-00796-z.

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WANG, GUO-JUN. "COMPARISON OF DEDUCTION THEOREMS IN DIVERSE LOGIC SYSTEMS." New Mathematics and Natural Computation 01, no. 01 (2005): 65–77. http://dx.doi.org/10.1142/s1793005705000044.

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Deduction theorem and its weak forms in classical mathematical logic system, Łukasiewicz logic system, Gödel logic system, product logic system, and the fuzzy logic system ℒ* are discussed and compared. It is pointed out that the weak form of deduction theorem in ℒ* has a clear structure and can be employed to define the concept of consistency degrees of finite theories. Moreover, it is clarified that the negation operator of Gödel type is too strong and is therefore unsuitable for establishing fuzzy logic systems.

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Cao, Yusong, and Tzung-hang Lee. "Maneuvering of Surface Vessels Using a Fuzzy Logic Controller." Journal of Ship Research 47, no. 02 (2003): 101–30. http://dx.doi.org/10.5957/jsr.2003.47.2.101.

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A fuzzy logic controller is developed for maneuvering control of surface vessels. The fuzzy controller uses a vessel's heading, yaw rate, distance from a reference point, and the velocity of the vessel relative to the reference point as inputs to generate the control outputs. The control outputs include rudder angle, increase in propeller thrust, and lateral bow thrust. The design of the fuzzy controller is simple and does not require a mathematical modeling of the complicated nonlinear system. The core of the fuzzy controller is a set of fuzzy associative memory (FAM) rules that correlate eac

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Lin, Yueh-Jaw, and Tian-Soon Lee. "An investigation of fuzzy logic control of flexible robots." Robotica 11, no. 4 (1993): 363–72. http://dx.doi.org/10.1017/s0263574700016623.

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SUMMARYIn this paper a control law, which consists of a fuzzy logic controller plus a nonlinear effects negotiator for a flexible robot manipulator, is presented. The nonlinear effects negotiator is used to enhence the control system's ability in dealing with the uncertainty of the mathematical model. The control algorithm is simple and easy to tune as opposed to conventional control law which requires time consuming gains selections. To obtain fuzzy control rules, an error response plane method is proposed.

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Rehman, Waheed UR, Yuanxin Luo, Yongqin Wang, et al. "Fuzzy logic–based intelligent control for hydrostatic journal bearing." Measurement and Control 52, no. 3-4 (2019): 229–43. http://dx.doi.org/10.1177/0020294019830110.

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Most of the researchers are focusing to bring automation in mechanical systems. So, current research work presents a mechatronic system called active hydrostatic journal bearing that is a higher demand of fast-growing industrial needs. The objective is to improve the dynamics and static characteristics of hydrostatic journal bearing. To achieve the objective, a feedback servo controlled system is presented. A mathematical model is proposed for newly proposed active hydrostatic journal bearing with servo control. A comparison has been performed between the active hydrostatic journal bearing and

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Laschov, Dmitriy, and Michael Margaliot. "Mathematical modeling of the lambda switch: A fuzzy logic approach." Journal of Theoretical Biology 260, no. 4 (2009): 475–89. http://dx.doi.org/10.1016/j.jtbi.2009.06.024.

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Hata, Yutaka, Shoji Kobashi, and Hiroshi Nakajima. "Special Issue on the Power of Fuzzy—Dedicated to the Father of Fuzzy Logic." Journal of Advanced Computational Intelligence and Intelligent Informatics 22, no. 5 (2018): 739. http://dx.doi.org/10.20965/jaciii.2018.p0739.

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On September 6, 2017, we lost a great researcher, Prof. Lotfi A. Zadeh, the one who introduced one of the most important mathematical concepts that gets a good rapport with reality. “Fuzzy Sets” was the paper he published in 1965. Many researchers and practitioners of mathematics, science, engineering, medicine, and economics found it fascinating. In Japan, consumer electronics incorporating ambiguity in human thought and behavior became popular. As these products became big topics, the term “fuzzy” also became popular in the 1990s. This set of papers offers a sample of the expanding developme

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Albrycht, Jerzy. "Eleventh mathematical session of the Poznań circle on fuzzy & interval mathematics." Fuzzy Sets and Systems 24, no. 3 (1987): 394–95. http://dx.doi.org/10.1016/0165-0114(87)90040-6.

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Mancilla-Rendón, Enriqueta, Carmen Lozano, and Enrique Torres-Esteva. "Fuzzy Governance Model." Mathematics 9, no. 5 (2021): 481. http://dx.doi.org/10.3390/math9050481.

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This article aims to analyze the functions of corporate governance agents as a key part of the study and evaluation of the internal control by the independent auditor to propose a governance fuzzy model based on legality. This is a descriptive–hermeneutical study based on mercantile-securities law, the code of best practice of corporate governance, and auditing standards. The research design is cross-sectional and uses fuzzy logic theory as an alternative tool in contrast to classical mathematical models. The results suggest that corporate governance agents strongly influence the application o

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Zhang, Xian-Xia, Ye Jiang, Shiwei Ma, and Bing Wang. "Reference Function Based Spatiotemporal Fuzzy Logic Control Design Using Support Vector Regression Learning." Journal of Applied Mathematics 2013 (2013): 1–13. http://dx.doi.org/10.1155/2013/410279.

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This paper presents a reference function based 3D FLC design methodology using support vector regression (SVR) learning. The concept of reference function is introduced to 3D FLC for the generation of 3D membership functions (MF), which enhance the capability of the 3D FLC to cope with more kinds of MFs. The nonlinear mathematical expression of the reference function based 3D FLC is derived, and spatial fuzzy basis functions are defined. Via relating spatial fuzzy basis functions of a 3D FLC to kernel functions of an SVR, an equivalence relationship between a 3D FLC and an SVR is established.

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Zadeh, L. A. "Foreword." International Journal of Computers Communications & Control 6, no. 3 (2011): 385. http://dx.doi.org/10.15837/ijccc.2011.3.2123.

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<p>I feel honored by the dedication of the Special Issue of IJCCC to me. I should like to express my deep appreciation to the distinguished Co-Editors and my good friends, Professors Balas, Dzitac and Teodorescu, and to distinguished contributors, for honoring me. The subjects which are addressed in the Special Issue are on the frontiers of fuzzy logic.<br /> <br /> The Foreword gives me an opportunity to share with the readers of the Journal my recent thoughts regarding a subject which I have been pondering about for many years - fuzzy logic and natural languages. The first

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CAO, YINGJUN, PAUL P. WANG, and GERMANO RESCONI. "REVERSE ENGINEERING OF THE NK BOOLEAN NETWORK AND ITS EXTENSION — FUZZY LOGIC NETWORK." New Mathematics and Natural Computation 03, no. 01 (2007): 69–87. http://dx.doi.org/10.1142/s179300570700063x.

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In this paper, we first propose a reverse engineering solution to decode the NK Boolean dynamic network given the input and output of the system. This theory utilizes basis functions and dynamic matrices, through which the network's evolutionary behavior can be simulated in a rigorous mathematical manner. Then, a general network model, fuzzy logic network (FLN), is presented as the extension of the Boolean network. This novel network model assigns variable values in a continuous domain, and it can accommodate internal conflicts among variables. In addition, the FLN uses fuzzy logical functions

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Harb, Ahmad M., and Issam A. Smadi. "On Fuzzy Control of Chaotic Systems." Journal of Vibration and Control 10, no. 7 (2004): 979–93. http://dx.doi.org/10.1177/1077546304041541.

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In this paper, we introduce the control of the strange attractor, chaos. Because of the importance of controlling undesirable behavior in systems. researchers are investigating the use of linear and nonlinear controllers, either to remove such oscillations (in power systems) or to match two chaotic systems (in secure communications). The idea of using the fuzzy logic concept for controlling chaotic behavior is presented. There are two good reasons for using fulzy control: first, there is no mathematical model available for the process; secondly. it can satisfy nonlinear control that can be dev

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PERLOVSKY, L. I., and R. ILIN. "CWW, LANGUAGE, AND THINKING." New Mathematics and Natural Computation 09, no. 02 (2013): 183–205. http://dx.doi.org/10.1142/s1793005713400036.

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Computing with words, CWW, is considered in the context of natural language functioning, unifying language with thinking. Previous attempts at modeling natural languages as well as thinking processes in artificial intelligence have met with computational complexity. To overcome computational complexity we use dynamic logic (DL), an extension of fuzzy logic describing fuzzy to crisp transitions. We suggest a possible architecture motivated by mathematical and neural considerations. We discuss the reasons why CWW has to be modeled jointly with thinking and propose an architecture consistent with

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Demkiv, L. I., A. O. Lozynskyy, V. V. Vantsevich, et al. "Fuzzy controller, designed by reinforcement learning, for vehicle traction system application." Mathematical Modeling and Computing 8, no. 2 (2021): 168–83. http://dx.doi.org/10.23939/mmc2021.02.168.

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In this article, a fuzzy controller tuned by reinforcement learning is proposed. The developed algorithm utilizes a fuzzy logic theory and a reinforcement learning for fine-tuning parameters of the membership function for the fuzzy controller. Apart from the fuzzy controller developed, a fuzzy corrector of reference input (set-point) signal to the controller is applied. The fuzzy corrector changes the input (reference) signal of the system and takes into account an original reference input and type of external disturbances. Thus, the designed fuzzy control that is tuned by reinforcement learni

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Teodorescu, Mirela, and Dan Ionescu. "Florentin Smarandache & Ştefan Vlăduţescu: Neutrosophic Emergences and Incidences in Communication and Information - Book Review." International Letters of Social and Humanistic Sciences 38 (August 2014): 94–99. http://dx.doi.org/10.18052/www.scipress.com/ilshs.38.94.

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Neutrosophic emergences and incidences in communication and information, published in Germany/Saarbrücken: LAP LAMBERT Academic Publishing in 2013, is a book that constitutes a new trend, a new approach in the science of logic, philosophy, communication theory, information, an approached and exemplification that it was wanted, it was intuited, it was expected but it has no mathematical foundation, that is neutrosophy. It is a book that presents avant-garde information. It is written by two appreciated researchers and inexhaustible perpetual idea machines: Professors Florentin Smarandache and Ş

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Chen, Cheng-Wu. "Modeling and Fuzzy PDC Control and Its Application to an Oscillatory TLP Structure." Mathematical Problems in Engineering 2010 (2010): 1–13. http://dx.doi.org/10.1155/2010/120403.

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An analytical solution is derived to describe the wave-induced flow field and surge motion of a deformable platform structure controlled with fuzzy controllers in an oceanic environment. In the controller design procedure, a parallel distributed compensation (PDC) scheme is utilized to construct a global fuzzy logic controller by blending all local state feedback controllers. The Lyapunov method is used to carry out stability analysis of a real system structure. The corresponding boundary value problems are then incorporated into scattering and radiation problems. These are analytically solved

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Wu, Xiaoying, and Xiaohong Zhang. "The Structure Theorems of Pseudo-BCI Algebras in Which Every Element is Quasi-Maximal." Symmetry 10, no. 10 (2018): 465. http://dx.doi.org/10.3390/sym10100465.

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For mathematical fuzzy logic systems, the study of corresponding algebraic structures plays an important role. Pseudo-BCI algebra is a class of non-classical logic algebras, which is closely related to various non-commutative fuzzy logic systems. The aim of this paper is focus on the structure of a special class of pseudo-BCI algebras in which every element is quasi-maximal (call it QM-pseudo-BCI algebras in this paper). First, the new notions of quasi-maximal element and quasi-left unit element in pseudo-BCK algebras and pseudo-BCI algebras are proposed and some properties are discussed. Seco

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Lefevr, Nickie, Andreas Kanavos, Vassilis C. Gerogiannis, Lazaros Iliadis, and Panagiotis Pintelas. "Employing Fuzzy Logic to Analyze the Structure of Complex Biological and Epidemic Spreading Models." Mathematics 9, no. 9 (2021): 977. http://dx.doi.org/10.3390/math9090977.

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Complex networks constitute a new field of scientific research that is derived from the observation and analysis of real-world networks, for example, biological, computer and social ones. An important subset of complex networks is the biological, which deals with the numerical examination of connections/associations among different nodes, namely interfaces. These interfaces are evolutionary and physiological, where network epidemic models or even neural networks can be considered as representative examples. The investigation of the corresponding biological networks along with the study of huma

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HUMPERT, B., and A. DE KORVIN. "Optimization and Expert Systems with Neural Networks." International Journal of Modern Physics C 02, no. 01 (1991): 86–104. http://dx.doi.org/10.1142/s012918319100010x.

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Neural Networks (NN) provide the framework for the optimization of highly complex problems, known as NP-complete. At the same time NN allow in an elegant way for the implementation of forward and backward chaining Expert Systems (ESs) where the knowledge is represented by production rules but non-explicit domain knowledge can also be learnt. The use of fuzzy logic allows for the processing of partial and uncertain information. As a representative example for optimization we discuss the Traveling Salesman problem (TSP) covering also recent progress, and subsequently we focus on the connectionis

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Kochetkov, Mihail, Dmitry Korolkov, Vladimir Petrov, Oleg Petrov, Alexey Terentev, and Sergey Simonov. "Application of Cluster Analysis with Fuzzy Logic Elements for Ground Environment Assessment of Robotic Group." SPIIRAS Proceedings 19, no. 4 (2020): 746–73. http://dx.doi.org/10.15622/sp.2020.19.4.2.

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Emergency situations, that cause risks for human life and health, dictate elevated requirements to completeness and accuracy of the presentation of information about current ground environment. Modern robotic systems include sensors, that operate on different physical principles. This causes incrementation of information entering control system. Computing resources and technical capabilities of robotic systems are limited in range and detection probabilities of appearing objects. In case of insufficient performance of the on-board computer system and high uncertainties of ground environment, r

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Alghannam, Lu, Ma, et al. "A Novel Method of Using Vision System and Fuzzy Logic for Quality Estimation of Resistance Spot Welding." Symmetry 11, no. 8 (2019): 990. http://dx.doi.org/10.3390/sym11080990.

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Finding a reliable quality inspection system of resistance spot welding (RSW) has become a very important issue in the automobile industry. In this study, improvement in the quality estimation of the weld nugget’s surface on the car underbody is introduced using image processing methods and training a fuzzy inference system. Image segmentation, mathematical morphology (dilation and erosion), flood fill operation, least-squares fitting curve and some other new techniques such as location and value based selection of pixels are used to extract new geometrical characteristics from the weld nugget

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Alshammari, Badr, Rim Ben Salah, Omar Kahouli, and Lioua Kolsi. "Design of Fuzzy TS-PDC Controller for Electrical Power System via Rules Reduction Approach." Symmetry 12, no. 12 (2020): 2068. http://dx.doi.org/10.3390/sym12122068.

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In this paper, a new Takagi–Sugeno Fuzzy Logic controller (TS-FLC) is presented and applied for modeling and controlling the nonlinear power systems even in the presence of disturbances. Firstly, a nonlinear mathematical model for the electrical power system is presented with consideration of PSS and AVR controller. Then, a Takagi–Sugeno Fuzzy Logic controller is employed to control power system stability. Nevertheless, the study of the stability of Takagi–Sugeno fuzzy models will be difficult in the case where the number of nonlinearities is important. To cope with this problem, this study pr

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Cao, Ningbo, Liying Zhao, Mingtao Chen, and Ruiqi Luo. "Fuzzy Social Force Model for Pedestrian Evacuation under View-Limited Condition." Mathematical Problems in Engineering 2020 (November 16, 2020): 1–16. http://dx.doi.org/10.1155/2020/2879802.

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Pedestrian evacuation dynamics in a classroom is always a complex process influenced by many fuzzy factors. It is very difficult and inappropriate to quantify the impact of these fuzzy factors by using the mathematical formula. Existing microscopic simulation models have made many efforts to use accurate mathematical method to model the fuzzy interaction behaviors between pedestrians under the view-limited condition. This study tries to fill this gap by establishing a microscopic simulation model which can represent the fuzzy behaviors of pedestrians under view-limited condition. The developed

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Kannan, Prema, Senthil Kumar Natarajan, and Subhransu Sekhar Dash. "Design and Implementation of Fuzzy Logic Controller for Online Computer Controlled Steering System for Navigation of a Teleoperated Agricultural Vehicle." Mathematical Problems in Engineering 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/590861.

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This paper describes design, modeling, simulation, control, and implementation of teleoperated agricultural vehicle using intelligent technique. This vehicle can be used for ploughing, sowing, and soil moisture sensing. Online computer controlled steering system for a vehicle utilizing two independent drive wheels can be used to avoid obstacles and to improve the ability to resist external side forces. To control the steer angles of the nondriven wheels, the mathematical relationships between the drive wheel speeds and the steer angles of the nondriven wheels are used. A fuzzy logic controller

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Boukadoum, Aziz, Tahar Bahi, Youcef Soufi, Abla Bouguerne, and Sofiane Oudina. "Improvement of output current waveforms using SVM technique and fuzzy logic controller for matrix converter." COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 34, no. 6 (2015): 1896–916. http://dx.doi.org/10.1108/compel-11-2014-0303.

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Purpose – The use of power electronic equipment such as conventional AC-DC-AC converters cause several problems in electrical networks and its components. They generate harmonic currents and disturb the electrical power sources; so, it is necessary to research alternative topologies of power electronic converters based on advanced intelligent controllers, which reduce or even eliminate harmonics to achieve energy-saving and environmental protection. The use of matrix converter (MC) is, considered as an attractive solution to maintain pure sinusoidal input and output current waveforms. The pape

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Čunderlíková, Katarína. "Conditional Intuitionistic Fuzzy Mean Value." Axioms 10, no. 2 (2021): 97. http://dx.doi.org/10.3390/axioms10020097.

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The conditional mean value has applications in regression analysis and in financial mathematics, because they are used in it. We can find papers from recent years that use the conditional mean value in fuzzy cases. As the intuitionstic fuzzy sets are an extension of fuzzy sets, we will try to define a conditional mean value for the intuitionistic fuzzy case. The conditional mean value in crisp intuitionistic fuzzy events was first studied by V. Valenčáková in 2009. She used Gödel connectives. Her approach can only be used for special cases of intuitionistic fuzzy events, therefore, we want to

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Kollia, Ilianna, Nikolaos Simou, Andreas Stafylopatis, and Stefanos Kollias. "SEMANTIC IMAGE ANALYSIS USING A SYMBOLIC NEURAL ARCHITECTURE." Image Analysis & Stereology 29, no. 3 (2010): 159. http://dx.doi.org/10.5566/ias.v29.p159-172.

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Image segmentation and classification are basic operations in image analysis and multimedia search which have gained great attention over the last few years due to the large increase of digital multimedia content. A recent trend in image analysis aims at incorporating symbolic knowledge representation systems and machine learning techniques. In this paper, we examine interweaving of neural network classifiers and fuzzy description logics for the adaptation of a knowledge base for semantic image analysis. The proposed approach includes a formal knowledge component, which, assisted by a reasonin

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Bajić, Sanja, Dragoljub Bajić, Branko Gluščević, and Vesna Ristić Vakanjac. "Application of Fuzzy Analytic Hierarchy Process to Underground Mining Method Selection." Symmetry 12, no. 2 (2020): 192. http://dx.doi.org/10.3390/sym12020192.

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The paper proposes a problem-solving approach in the area of underground mining, related to the evaluation and selection of the optimal mining method, employing fuzzy multiple-criteria optimization. The application of fuzzy logic to decision-making in multiple-criteria optimization is particularly useful in cases where not enough information is available about a given system, and where expert knowledge and experience are an important aspect. With a straightforward objective, multiple-criteria decision-making is used to rank various mining methods relative to a set of criteria and to select the

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Dudarov, S. P., and N. D. Kirillov. "Mathematical Model of the Conclusion of the Neural Network Defuzzificator in Fuzzy-Logic Output Procedures and Its Software Implementation." Mathematical Models and Computer Simulations 13, no. 2 (2021): 328–37. http://dx.doi.org/10.1134/s207004822102006x.

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Qiao, Zebo, and Jianjun Yin. "Fuzzy Deep Medical Diagnostic System: Gray Relation Framework and the Guiding Functionalities for the Professional Sports Club Social Responsibility." Journal of Medical Imaging and Health Informatics 10, no. 5 (2020): 1084–90. http://dx.doi.org/10.1166/jmihi.2020.2891.

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Fuzzy deep medical diagnostic system based on gray relation framework and the guiding functionalities for the professional sports club social responsibility is proposed in this paper. Medical high-tech has two features, namely formal logic and mathematics. That is to say, they use formal logic to build the theoretical system, which requires that the principles of the medical science and technology are defined clearly in concept, the reasoning is rigorous and logical and its mathematics requires its pursuit of precision in the work, and a mathematical language to reveal the internal relations b

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Gkountakou, Fani, and Basil Papadopoulos. "The Use of Fuzzy Linear Regression and ANFIS Methods to Predict the Compressive Strength of Cement." Symmetry 12, no. 8 (2020): 1295. http://dx.doi.org/10.3390/sym12081295.

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In this paper, the prediction of compressive cement strength using the fuzzy linear regression (FLR) and adaptive neuro-fuzzy inference system (ANFIS) methods was studied. Specifically, an accurate prediction method is needed as the modeling of cement strength is a difficult task, which is based on its composite nature. However, many approaches are widely implemented in strength-predicting problems, such as the artificial neural network (ANN), Mamdani fuzzy rules in MATLAB, FLR and ANFIS models. Applying these methods and comparing the results with the corresponding observed ones, we concluded

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Sun, Zhaohao, and Paul P. Wang. "A Mathematical Foundation of Big Data." New Mathematics and Natural Computation 13, no. 02 (2017): 83–99. http://dx.doi.org/10.1142/s1793005717400014.

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The recent research evolution on big data has brought exciting aspiration to mathematicians, computer scientists and business professionals alike. However, the lack of a sound mathematical foundation presents itself as a real challenge amidst the swarm of big data marketing activities. This paper intends to propose a possible mathematical theory as a foundation for big data research. Specifically, we propose the concept of the adjective “big” as a mathematical operator, furthermore, the concept of so-called “big” logically and naturally fits the concept of being “linguistics variable” as per f

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Castillo, Oscar, Patricia Melin, Fevrier Valdez, et al. "Shadowed Type-2 Fuzzy Systems for Dynamic Parameter Adaptation in Harmony Search and Differential Evolution Algorithms." Algorithms 12, no. 1 (2019): 17. http://dx.doi.org/10.3390/a12010017.

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Nowadays, dynamic parameter adaptation has been shown to provide a significant improvement in several metaheuristic optimization methods, and one of the main ways to realize this dynamic adaptation is the implementation of Fuzzy Inference Systems. The main reason for this is because Fuzzy Inference Systems can be designed based on human knowledge, and this can provide an intelligent dynamic adaptation of parameters in metaheuristics. In addition, with the coming forth of Type-2 Fuzzy Logic, the capability of uncertainty handling offers an attractive improvement for dynamic parameter adaptation

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WANG, PAUL P., and CHIH HSUN HSIEH. "MODELING THE DEGREE OF TRUTHFULNESS." New Mathematics and Natural Computation 06, no. 02 (2010): 141–61. http://dx.doi.org/10.1142/s1793005710001712.

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This paper reports some novel approach on linguistic logic with our intention to realize CWW, Computing With Words, via a simple example which consists of only five words. As a by product, this simple example of the linguistic logical system may serve as a mathematical model, modeling the degree of truthfulness in daily usage. The five words set of a linguistic variable modeling the degree of truthfulness are; true, nearly true, undecided, nearly false and false. We subjectively choose trapezoidal fuzzy numbers as our linguistic truth values in order to model our linguistic logic system. First

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Lehrer, Richard, and Megan Loef Franke. "Applying Personal Construct Psychology to the Study of Teachers' Knowledge of Fractions." Journal for Research in Mathematics Education 23, no. 3 (1992): 223–41. http://dx.doi.org/10.5951/jresematheduc.23.3.0223.

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Personal construct psychology provides a coherent theoretical and methodological framework for the examination of teachers' knowledge. We report case studies of two teachers who varied in their knowledge about fractions and mathematical pedagogy. We used personal construct psychology and the logic of fuzzy sets to elucidate the content and organization of the teachers' knowledge of fractions. The approach proved especially useful for describing conditional relationships among content, general pedagogical, and pedagogical content knowledge frames. We also explored associations between teachers'

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Ahmad, Jamshad, Angbeen Iqbal, and Qazi Mahmood Ul Hassan. "Study of Nonlinear Fuzzy Integro-differential Equations Using Mathematical Methods and Applications." INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS 21, no. 1 (2021): 76–85. http://dx.doi.org/10.5391/ijfis.2021.21.1.76.

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Reza Ahrabi, Atike, and Hamid Reza Kobravi. "A chaos to chaos control approach for controlling the chaotic dynamical systems using Hamilton energy feedback and fuzzy-logic system." Chaos: An Interdisciplinary Journal of Nonlinear Science 29, no. 7 (2019): 073113. http://dx.doi.org/10.1063/1.5087876.

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Aplak, Hakan, Mehmet Kabak, and Erkan Köse. "A Two Person Zero Sum Game Oriented to Integration of Objectives." Journal of Military Studies 5, no. 2 (2014): 65–85. http://dx.doi.org/10.1515/jms-2016-0190.

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Abstract Decision making process is a process which includes decision makers, actors, environmental factors, objectives, strategies and criteria. In competitive environments, effectiveness of decision process depends on determining all environmental factors and evaluating them according to objectives. Decision makers aim to find optimal strategies for conflicting objectives. Game theory is an approach based on mathematics in which strategies of players are evaluated reciprocally by considering environmental effects.In this study, a two-person zero-sum game approach is presented for choosing op

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Frič, Roman, Peter Eliaš, and Martin Papčo. "Divisible extension of probability." Mathematica Slovaca 70, no. 6 (2020): 1445–56. http://dx.doi.org/10.1515/ms-2017-0441.

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AbstractWe outline the transition from classical probability space (Ω, A, p) to its "divisible" extension, where (as proposed by L. A. Zadeh) the σ-field A of Boolean random events is extended to the class 𝓜(A) of all measurable functions into [0,1] and the σ-additive probability measure p on A is extended to the probability integral ∫(·) dp on 𝓜(A). The resulting extension of (Ω, A,p) can be described as an epireflection reflecting A to 𝓜(A) and p to ∫(·) dp.The transition from A to 𝓜(A), resembling the transition from whole numbers to real numbers, is characterized by the extension of two-va

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Voytetsky, Igor, Taisiya Voytetskaya, Leonid Vyshnevskyi, et al. "Improving the ship's power plant automatic control system by using a model-oriented decision support system in order to reduce accident rate under the transitional and dynamic modes of operation." Eastern-European Journal of Enterprise Technologies 3, no. 2 (111) (2021): 57–66. http://dx.doi.org/10.15587/1729-4061.2021.234447.

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This paper proposes a method to improve the performance of a ship's power plant by reducing accidents within it under transitional operating modes. The method is based on decreasing the number of service personnel errors by using a model-oriented decision support system. In order to implement the proposed method, the structure of the system of automatic control of the ship's power plant has been improved. Such an improvement of the control system implied the integration of a modeling unit and a decision support unit into its structure. The modeling unit makes it possible to predict values of t

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Mikulik, Jerzy, and Mirosław Zajdel. "Automatic Risk Control Based on FSA Methodology Adaptation for Safety Assessment in Intelligent Buildings." International Journal of Applied Mathematics and Computer Science 19, no. 2 (2009): 317–26. http://dx.doi.org/10.2478/v10006-009-0027-1.

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Automatic Risk Control Based on FSA Methodology Adaptation for Safety Assessment in Intelligent BuildingsThe main area which Formal Safety Assessment (FSA) methodology was created for is maritime safety. Its model presents quantitative risk estimation and takes detailed information about accident characteristics into account. Nowadays, it is broadly used in shipping navigation around the world. It has already been shown that FSA can be widely used for the assessment of pilotage safety. On the basis of analysis and conclusion on the FSA approach, this paper attempts to show that the adaptation

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Ching, Hugh, Chien Yi Lee, Mahadi Hasan, and Benjamin Li. "Culture Level Quotient." Journal of Research in Philosophy and History 4, no. 2 (2021): p1. http://dx.doi.org/10.22158/jrph.v4n2p1.

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The world is changing for the purpose of progress. It is important for a person, a people or a nation to know the direction and the desirability of the change. A comparison of different cultures and knowledge advancements around the world and cultures throughout history provides some guideline for the change. From the perspective of the knowledge advancement of the historical past and the post-scientific vision of knowledge of the expected future, the concept of culture can serve as an overall measure of the quality of a person, a people or a nation. One’s beliefs can provide indications to on

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Епихин, А. И., С. И. Кондратьев, and Е. В. Хекерт. "Predictiuo of multi-dimensijnal non-stationary time series using neuromodeling." MORSKIE INTELLEKTUAL`NYE TEHNOLOGII), no. 4(50) (December 17, 2020): 23–27. http://dx.doi.org/10.37220/mit.2020.50.4.092.

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В статье рассмотрены особенности прогнозирования многомерных нестационарных временных рядов с использованием нейромоделирования. Для построения прогнозных моделей используются самые современные концепции математического моделирования: методы фрактального и интеллектуального анализа эволюции систем, инструментарий нечеткой логики и искусственных нейронных сетей. В качестве примера рассмотрен процесс подачи топлива с примесями водорода в быстроходных дизелях на кораблях. Рассмотрен выбор топологии искусственной нейронной сети. Принимая во внимание обозначенную задачу исследования и особенности р

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Nikulchev, Evgeny, Dmitry Ilin, and Alexander Gusev. "Technology Stack Selection Model for Software Design of Digital Platforms." Mathematics 9, no. 4 (2021): 308. http://dx.doi.org/10.3390/math9040308.

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The article is dedicated to the development of a mathematical model and methodology for evaluating the effectiveness of integrating information technology solutions into digital platforms using virtual simulation infrastructures. The task of selecting a stack of technologies is formulated as the task of selecting elements from sets of possible solutions. This allows us to develop a mathematically unified approach to evaluating the effectiveness of different solutions, such as choosing programming languages, choosing Database Management System (DBMS), choosing operating systems and data technol

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