Solution Of Fuzzy Linear Programming And Application

This paper mainly analyzed and discussed some types of solution for fuzzy linear programming according to Zadeh's fuzzy theory. The fuzzy linear programming method and other aspects of the application are systemically concluded and summarized. At the base of the new distance of fuzzy numbers, we applied fuzzy linear programming problem by applying a new sorting rule of fuzzy distance and illustrate the validity of this solution by numerical examples.There are four chapters in the papers. Iintroduction is the first chapter , mainly reviewing the background of the fuzzy linear programming and it's research status. Another chapter chiefly introduces a fuzzy set theory and some relevant basic knowledge, including the operational rule of fuzzy sets, some method for fuzzy number ranking, and the concept of fuzzy numbers distance. These provide us with a direct method to the problem of fuzzy linear programming later.The third chapter mainly discusses some representative types of fuzzy linear programming, concludes and summarizes comprehensively basic idea and method to fuzzy linear programming at home and abroad which give a particular introduction for Werners algorithm, the impoved Werners algorithm, Zimmermann algorithm. At the same time, some new methods and new ideas on solving fuzzy linear programming supposed in recent years are also concludec, including some concrete examples and illustrations. In this chapter we will solve a restriction coefficient fuzzy linear programming problem by using a new rule of fuzzy number ranking, and obtain an optimal value of fuzzy linear programming with the help of computer software Matlab.In the last chapter, we further discuss the solution to the fuzzy multi-objective linear programming ,conclude some types of the classic methods and also present several illustrations.