Fuzzy Systems to Quantum Mechanics

This unique compendium represents important action of fuzzy systems to quantum mechanics. From fuzzy sets to fuzzy systems, it also gives clear descriptions on the development on fuzzy logic, where the most important result is the probability presentation of fuzzy systems.

The important conclusions on fuzzy systems are used in the study of quantum mechanics, which is a very new idea. Eight important conclusions are obtained. The author has proved that mass-point motions in classical mechanics must have waves, which means that any mass-point motion in classical mechanics has wave mass-point dualism as well as any microscopic particle motion must have wave-particle dualism. Based on this conclusion, it has been proven that classical mechanics and quantum mechanics are unified.
Contents: Fuzzy SetsFuzzy RelationsFuzzy SystemsApproximation Properties of Fuzzy Systems and Its Error AnalysisProbability Representations of Fuzzy SystemsFuzzy System Representations of Stochastic SystemsThe Normal Numbers of Fuzzy Systems and Their ClassesUnified Theory of Classic Mechanics and Quantum MechanicsUnification of Riemann Integral and Lebesgue IntegralFuzzy Systems with a Kind of Self-adaption
Readership: Professionals, academics, researchers, and graduate students in fuzzy logic, quantum mechanics and quantum information, and probability theory.Fuzzy Systems;Fuzzy Logic;Stochastic Systems;Classical Mechanics ;Quantum Mechanics;Wave-Particle Dualism;Uniformity of Classical Mechanics and Quantum Mechanics00