A class of nonconvex fuzzy optimization problems under granular differentiability concept

Fangfang Shi, Guoju Ye, Wei Liu and Dafang Zhao

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 211, issue C, 430-444

Abstract: The aim of this paper is to study a class of nonconvex optimization problems with fuzzy objective functions under granular differentiability concept. In order to get it, we give the definition of granular preinvex fuzzy functions and discuss its fascinating characteristics. In particular, two necessary and sufficient conditions for granular differentiable fuzzy functions to be granular preinvex are proved. As an application of granular preinvex fuzzy functions, we study a class of nonconvex fuzzy optimization problems with constraints, and obtain the existence of the optimal solution by solving the fuzzy variational inequalities. In addition, the developed theory is illustrated by some numerical examples.

Keywords: Fuzzy functions; Granular preinvexity; Granular differentiability; Fuzzy optimization (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:211:y:2023:i:c:p:430-444

DOI: 10.1016/j.matcom.2023.04.021

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