We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Optimality conditions for nonsmooth fuzzy optimization models under the gH-weak subdifferentiability.
- Authors
Shi, Fangfang; Ye, Guoju; Liu, Wei; Zhao, Dafang
- Abstract
This paper is concerned with optimality conditions for a class of nonsmooth fuzzy optimization problems based on gH-weak subdifferentiability. To this end, we first define the gH-weak subdifferential of fuzzy-valued functions and derive its fascinating properties such as convexity and closeness. The relationship between gH-weak subdifferentiability and gH-lower Lipschitz is then discussed. Finally, a necessary and sufficient condition for the existence of weak efficient solutions to a class of nonsmooth fuzzy optimization problems is established under gH-weak subdifferentiability, and two necessary optimality conditions are further deduced. Moreover, numerical examples are presented to show the effectiveness of the theoretical results.
- Subjects
NONSMOOTH optimization
- Publication
Computational & Applied Mathematics, 2024, Vol 43, Issue 1, p1
- ISSN
0101-8205
- Publication type
Article
- DOI
10.1007/s40314-023-02522-4