The fuzzy set theory has been applied in many fields such as operation research, control theory and management sciences etc. The fuzzy numbers and fuzzy values are widely used in engineering applications because of their suitability for representing uncertain information. In standard fuzzy arithmetic operations we have some problem in subtraction and division operations. In this paper, a new operation on Triangular Fuzzy Numbers is defined, where the method of subtraction and division has been modified. These modified operators yield the exact inverse of the addition and multiplication operators.