The first book that provides the theory and real-world applications of fuzzy arithmetic in comprehensive style. Provide well-structured summary that offers more knowledge about the fuzzy arithmetic theory and a broad view on the application of engineering science that benefit the graduate program, researchers and engineers. Summarizesthe-stage state-the-art fuzzy arithmetic, offers a comprehensive composition of different approaches including the benefits and drawbacks, and finally, and presents the methodology in a completely new implementation of fuzzy arithmetic with special emphasis on the next application to real-world system.