A New Method To Fuzzy Constraints Linear Programming

Fuzzy mathmatics has received people's great concern since they occured. 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 and constraint coefficents are real numbers and the coefficents relations are fuzzy number.As for this kind of programming, people mainly turn a fuzzy linear programming problem into a classical linear programming through extensive investigation before we solved the problem.In this paper, we focus on the fuzzy constraints linear programming. First we discuss the properties of an optimal solution vector and of an optimal value in the corresponding parametric programming, and propose a method to the critical values. Besides, we present a new algorithm to the fuzzy constraint linear programming by associating an object function with the optimal value of parametric programming.This paper consists of three chapters. First, it introduces the basic concepts about the fuzzy sets and the classical programming, then it demonstrates the research status about fuzzy constraints linear programming . And finally it alliances a new method to a kind of fuzzy constraints linear programming problems.This reserach is supported in part by grants from the National Natural Science Foundation of China (No.70271047 and No.79670012) and " 211" Project Foundation of Shantou University and Li Ka-shing Development Foundation of Shantou University.