Convex fuzzy mappings

Necessary and sufficient conditions for fuzzy optimality problems

“…The following convexity definition for fuzzy function is well-known in the literature, for instance see [4,8,[12][13][14]16,18,22,23,25,26].…”

Fuzzy continuity of convex fuzzy mapping based on relative interior

“…Some properties of convex fuzzy sets were studied and given by Brown [2], Katsaras and Liu [3], Lowen [4]. The concept of the convex fuzzy mapping had first been introduced and some results including some applications to nondifferentiable optimization had been investigated by Nanda [5][6][7] .But the theories of the continuity question on convex fuzzy mapping have not yet been discussed up. In this paper, we will continue to study them.…”

Criterion for Generalized Weakly Fuzzy Invex Monotonocities

“…In 1989, Nanda and Kar [11] presented the idea of convex fuzzy mappings and obtained the convex fuzzy mapping under the epigraph of convex function in a convex set. In [12], Furukawa proposed the concept of convexity and Lipschitz continuity for the category of fuzzy valued functions.…”