Fuzzy Numbers
James J. Buckley, Esfandiar Eslami · 2002
Fuzzy numbers are of great importance in fuzzy systems. In the next section we give the general definition of a fuzzy number and show that real numbers and closed intervals are special cases of fuzzy numbers. The fuzzy numbers usually used in applications are the triangular (shaped) and the trapezoidal (shaped) fuzzy numbers also defined in section two. Then, in the third section, we develop the arithmetic of fuzzy numbers using both the extension principle and the a-cut with interval arithmetic method. There are many properties of the real numbers we use frequently that can be translated over to fuzzy numbers.