Numerical Scheme for Finding Roots of Interval-Valued Fuzzy Nonlinear Equation with Application in Optimization

Algorithm 1

(MM method).

Step 1. Transform into

Step 2. Solve for and to obtain initial guess value.

Step 3. Evaluate at initial guess point and compute Jacobian matrix

Step 4. Use MM to compute next iteration

where

.

Step 5. For given , if (i) and (ii) , then stop.

Step 6. Set and go to step 1.