Transform Group of Monotonic Functions with the Same Monotonicity on [-1,1] and Operations of Fuzzy Numbers

摘要

Operations of fuzzy numbers are the main content of the fuzzy mathematical analysis. This paper defines the transformation of monotonic bounded functions with same monotonicity on the symmetric interval [-1,1], and the four fundamental operations of fuzzy numbers based on the fuzzy structured element. It not only make operations of fuzzy numbers easier, but also start a new way for studying on the theory and application of fuzzy analysis.