Differentiability and optimality of a fuzzy function. arXiv:1910.02783
Preprint, arXiv:1910.02783 [math.OC] (2019).
Summary: In this article, we introduce a differentiability concept for fuzzy functions \(\tilde{f}: F(\mathbb{R}) \to F(\mathbb{R})\), where \(F(\mathbb{R})\) is the set of all fuzzy numbers. With the help of the proposed differentiability notion, we prove a necessary and sufficient condition for optimality to obtain a non-dominated solution of a fuzzy optimization problem.
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