ARITHMETIC OPERATIONS ON Z-NUMBERS DESCRIBED BY PAIR OF TRAPEZOIDAL MEMBERSHIP FUNCTIONS

Abstract

This paper considers implementation of arithmetic operations on Z-numbers described by pairs of trapezoidal membership functions. Trapezoidal numbers allow good approximation for a wide range of fuzzy numbers and are quite frequently used in fuzzy systems. Trapezoidal representation of fuzzy numbers is quite effective and efficient in preserving the systems from the loss of information after series of operations combining fuzzy numbers. We suggest an operational approach to implement arithmetic operations on Z-numbers the components of which are trapezoidal fuzzy numbers.