| Because Fuzzy set theory applies in Fuzzy logic and Fuzzy number theory applies in maximal possibility theory. Fuzzy theory attracts a lot of engineers, computer scientists and operation researcher's interesting. In classical theory, convexity is an most important part in the research and applied of optimum theory, if is helped in searching the optimum solution In Fuzzy theory, the is very general. And research on Fuzzy convexity as the concept of convexity, is research on the concept like those in Fuzzy.In this paper, we combine with the literature former to study the property of Fuzzy convex mappings, and generalize these concept to the n-cell Fuzzy number space L ( E m).In the Fuzzy number space L ( E m).We definite the concept of Fuzzy convexity, the mappings of invex and preinvex, generalize and sturdy their property, our focus is Fuzzy pre-quasiinvex mapping.At last we give a diagram to show their relation. In this paper, we also study the Fuzzy B-vex mapping, B-invex mapping and B-preinvex mappings, and also generalize and study their property. |