On Complex Interval Arithmetic Using Polar Form

In this paper, complex arithmetic in polar form, briefly sectors is discussed. The fact that the family of not closed under addition and subtraction gives rise to need an optimized approximation. Precisely, problem discussed, determine smallest possible sector contains sum two sectors. An efficient algorithm solving introduced compared with existing algorithms literature. are implemented MATLAB R2020a tested for all cases. It also shown by examples proposed perform much better than their ancestors avoid errors.