A Class Of E Invexity Convex Fuzzy Mapping And Its Properties

Since professor Zadeh put forward the concept of fuzzy sets, the development of fuzzy mathematics have gone through half a century.Due to the fuzzy mathematics is widely used in mechanics,medicinne,biology and other fields, the fuzzy mathematics is becoming more and more recognized by more and more people. Fuzzy convexity and fuzzy generalized convexity play a very important role in fuzzy optimization theory.Fuzzy mapping is important parts of fuzzy analysis, so it has been extensively studied by many authors. With the development of fuzzy mappings, People discuss the convexities of fuzzy mapping in convex sets and its applications in fuzzy programming. In order to solve practical fuzzy problems, E-Invexity is one of a important kind of generalized forms. This article first defines A class of E invexity convex fuzzy mappings and under the condition of di?erentiable,gets some relevant properties of E- invariant convex fuzzy mapping. Then under the more generalized Pseudo E- invariant convex fuzzy mapping,proved its related properties.This properties have laid a theoretical basis for the discussions of the fuzzy programming problem.Finally,the article discussed the relations between Pseudo E- invariant convex fuzzy mapping and Quasi E- invariant convex fuzzy mapping. The arrangment of this article as follows:In Chapter 1 We summarize the significance and current situation in the study of the generalized E-invexities.In Chapter 2 We introduce the concepts of fuzzy mathematics concepts, which are needed in the following sections.In Chapter 3 We give some properties of E- fuzzy generalized invexity.In Chapter 4 We get the relations between Pseudo E- invariant convex fuzzy mapping and Quasi E- invariant convex fuzzy mappingIn Chapter 5 the full text, the author gives a brief summary, and puts forward further improved.The main innovation of this paper is in three and four chapters.