| In real life and engineering fields, there are many uncertain phenomena, whose main performances are randomness, fuzziness and roughness. But in mathematic programming, these kinds of uncentain phenomena bring difficulties to the policy makers. This paper mainly analyses the relevant contents of fuzzy number and fuzzy linear programming, which pertain to uncertain programming. For fuzzy number plays an important role in fuzzy programming, we introduce the concept of fuzzy number firstly and then present the classic methods of ranking fuzzy number. Then the centroid point of fuzzy number is introduced in chapter three. Meanwhile, we propose a new method in fuzzy number raking based on the centroid point to overcome the shortcoming of the method proposed formerly.Secondly, we introduce two kinds of fuzzy programming: fuzzy linear programming with ilastic constrains and linear programming with fuzzy coefficients. In chapter four, we analyse mehtods to solve both programmings. For the former problem, this paper proposes a new solution, which is improved based on the Max-min method proposed by Werners. The result of the new method is fuzzy efficient in theory. Moreover, an example is given to illustrate the solution is efficient under the new model. Concerning the latter programming, we propose the concept of feasibility degree and satisfaction degree to the solution based on a special fuzzy relation and ranking function respectively. Then we discuss the relation between the feasibility degree and satisfaction degree. After consideration of the balance of both concepts, we bring forward a new way to solve the kind of fuzzy linear programming.Owing to the important function of dual theory in linear programming, we discuss the dual problem to the fuzzy linear programming with elastic constrains. Based on the usual sulotion of the problem, we give the form of dual problem of the fuzzy linear programming. Finally, we give a theorem about it. |
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