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.
Copyright © 2021 Edithstine Rani Mathew, Lovelymol Sebastian. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
E. R. Mathew, L. Sebastian, Solving unconstrained fuzzy problems using iH differentiability, J. Math. Comput. Sci. 11 (2021), 5847–5861. https://doi.org/10.28919/jmcs/6193
BibTeX
@article{Mathew2021,
author = {Mathew, Edithstine Rani and Sebastian, Lovelymol},
title = {Solving unconstrained fuzzy problems using iH differentiability},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {5847--5861},
doi = {10.28919/jmcs/6193}
}