Solving unconstrained fuzzy problems using iH differentiability

Abstract

In this paper, we develop new differentiability of fuzzy valued function termed improved Hukuhara(iH) differentiability. iH differentiability is used to solve unconstrained fuzzy optimization. The advantage of iH differentiability over-generalized Hukuhara differentiability is that it provides us with a unique solution to fuzzy optimization problems that remain fuzzy as time passes. We used the Newton approach to find the non-dominated solution in this case. We also provide an example to demonstrate the proposed method.