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This self-contained monograph presents an overview of fuzzy operator theory in mathematical analysis. Concepts, principles, methods, techniques, and applications of fuzzy operator theory are unified in this book to provide an introduction to graduate students and researchers in mathematics, applied sciences, physics, engineering, optimization, and operations research. New approaches to fuzzy operator theory and fixed point theory with applications to fuzzy metric spaces, fuzzy normed spaces, partially ordered fuzzy metric spaces, fuzzy normed algebras, and non-Archimedean fuzzy metric spaces are presented.Surveys are provided on: Basic theory of fuzzy metric and normed spaces and its topology, fuzzy normed and Banach spaces, linear operators, fundamental theorems (open mapping and closed graph), applications of contractions and fixed point theory, approximation theory and best proximity theory, fuzzy metric type space, topology and applications.

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Erscheinungsdatum: 26.01.2019, Medium: Taschenbuch, Einband: Kartoniert / Broschiert, Titel: Fuzzy Operator Theory in Mathematical Analysis, Auflage: Softcover reprint of the original 1st ed. 2018, Autor: Cho, Yeol Je // Rassias, Themistocles M. // Saadati, Reza, Verlag: Springer International Publishing, Sprache: Englisch, Rubrik: Mathematik // Analysis, Seiten: 424, Informationen: Paperback, Gewicht: 639 gr, Verkäufer: averdo

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In this book, we explain a novel control approach based on fuzzy logic theory to help a driver maintain the kinetic balance of the vehicle. This controller can be integrated in the vehicle to use sensors and actuators in order to coordinate suspension, brakes and steering system in critical situations. The proposed approach investigates the vehicle dynamics instability based on fuzzy analysis of vehicle CG (center of gravity) behavior. An advantage of this controller is that it doesn't interfere with the driver's habit in vehicle control and it resumes functioning only in critical moments. Using various actuators and sensors, we introduce a new approach to detect vehicle dynamics instability and the turnover threshold. In addition, after describing the present fatigue detection systems, a fuzzy logic based approach has been proposed for real-time driver fatigue detection. Fuzzy logic based analysis of the parameters effective on vehicle driver's fatigue/drowsiness is the main objective of this book. Fuzzy analyzers of the proposed system use various sensors to detect fatigue crisis and prevent driver's fatigue in critical situations by alerting.

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Fuzzy cluster analysis is one of the advanced topics in statistics, which is a tool that assesses the relationships among samples of data set ( many attributes and many observations) by organizing the attributes into different clusters, each observations is belong to any cluster with probability between [0,1]. The fuzzy cluster analysis applied in many fields for example, medicine, cures of diseases or symptoms of diseases, psychiatry, data mining, image processes, pattern recognition, information retrieval.

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In the four decades since its inception, the theory of fuzzyness has matured into wide ranging of collection of concepts and techniques for dealing with complex phenomenon which do not lend themselves to analysis by classical methods based on probability theory bivalent logic. Sequential analysis is a method of statistical inference whose characteristic feature is that the number of observations required by the procedure is not determined in advance of the experiment. Decision making in classical statistical inference is based on crispness of data, random variables, exact hypotheses and decision rules. But there are many different situations in which the above asuumptions are not sufficient to address the problems.In this book, different sequential inference procedures have been addressed for fuzzy observations. The articles included in this book are of theoretical in nature, where the effect of fuzzification on the sequential inference procedures, under consideration, have been studied.Each chapter of this book have published as research paper in different reputed journals all over the world.

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