An introduction to fuzzy logic and fuzzy sets

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This book serves as an undergraduate introduction to the theory of fuzzy sets, aimed at establishing a foundation for a future curriculum in fuzzy systems theory across various fields such as computer science, mathematics, engineering, and economics. It is designed for beginners, focusing on the basics rather than research. The content parallels a pre-calculus course, covering fuzzy algebra, functions, trigonometry, geometry, and solving fuzzy equations in chapters 3 through 11. After this foundational course, students can pursue specialized topics in fuzzy systems theory, including fuzzy clustering, pattern recognition, database management, image processing, robotics, intelligent agents, soft computing, and fuzzy decision-making, among others. While the book does not delve deeply into these advanced topics, it introduces several new concepts, such as mixed fuzzy logic, methods for solving fuzzy equations, fuzzy inequalities, inverse fuzzy functions, fuzzy plane geometry, fuzzy trigonometry, and fuzzy optimization using genetic algorithms. This approach ensures that students are well-prepared for more advanced studies in the field.