Abstract
This study aims to consider new kinds of generalized convex fuzzy mappings (convex-FM), which are called strongly alpha-preinvex fuzzy mappings. We investigated the characterization of preinvex-FMs using alpha-preinvex-FMs, which can be viewed as a novel and innovative application. Some different types of strongly alpha-preinvex-FMs are introduced, and their properties are investigated. Under appropriate conditions, we establish the relationship between strongly alpha-invex-FMs and strongly a j-monotone fuzzy operators. Then, the minimum of strongly alpha-preinvex-FMs are characterized by strongly fuzzy alpha-variational-like inequalities. Results obtained in this paper can be viewed as a refinement and improvement of previously known results.