Arithmetic Operations on Trapezoidal Fuzzy Numbers

In this paper, several new algebraic mathematics for positive fuzzy numbers of type (, \\a, \\\{a}, \\\{\{a}}) are devised and do not need the computation of \-cut of the fuzzy number. Direct mathematical expressions to evaluate exponential, square root, logarithms, inverse exponential etc. of positive fuzzy numbers of type (, \\a, \\\{a}, \\\{\{a}}) 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.