Arithmetic Operations on Trapezoidal Fuzzy Numbers

In this paper, several new algebraic mathematics for positive fuzzy numbers of type are devised and do not need the computation of \alpha -cut of the fuzzy number. Direct mathematical expressions to evaluate exponential, square root, logarithms, inverse exponential etc. of positive fuzzy numbers of type are obtained using the basic analytical principles of algebraic mathematics and Taylor series expansion. At the end, Various numerical examples are also solved to demonstrate the use of contrived expressions.