Abstract
In this paper, a new notion of generalized convex fuzzy mapping is introduced, which is called α-preinvex fuzzy mapping on the α-invex set. We have investigated the characterization of preinvex fuzzy mappings using α-preinvex fuzzy mappings, which can be viewed as a novel and innovative application. Some important and significant special cases are discussed. We have also investigated that the minimum of α-preinvex fuzzy mappings can be characterized by fuzzy α-variational like inequalities.
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