| The fuzzy optimization, especially the fuzzy linear programming problems have been put forward since the 70th of 20st century, and since then they have received people's great concern, and much research achievements have been made. In this paper,we discuss a kind of them, which is the fuzzy linear programming that the object coefficents are real numbers and the constraint coefficents are fuzzy numbers . For this kind programming, people mainly adopt the method by defining different fuzzy orders to compare two fuzzy numbers and then the problem can be solved.Using the same method, the author presents two new concepts: the left and right distances between two fuzzy numbers, and according to the relations between the interval numbers and fuzzy numbers, and the integration theory. this paper defines a new fuzzy order relation, then we can change the fuzzy linear programming into the ordinary linear programming , with the help of the simplex method, the optiminal solutions and the optiminal values are calculated. On the other hand, the author presents another method to solve the same problem which can be seen in the paper.This paper consists of three chapters. Firstly, it introduces the basic concepts about the fuzzy sets and their operations, then the interval numbers , the fuzzy numbers and their operations.Secondly, some classical fuzzy orders and some new fuzzy orders are introduced. And finally, this paper simply introduces the fuzzy linear programming problems and the Zimmermann method, and then the new methods to solve a kind of fuzzy linear programming problems have been mainly introduced, so they provide new methods to the fuzzy linear programming problems. |
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