Abstract
In this paper, by turning fuzzy number linear programming problem (FNLPP) into interval number linear programming problem, we give the conceptions of the \(r-\)best optimal solution and \(r-\)worst optimal solution of FNLPP. And from this, we finally put forward the definitions of the best fuzzy set and fuzzy number optimal solutions and the worst fuzzy set and fuzzy number optimal solutions of FNLPP. In order to solve fuzzy number linear programming problem in practice, we establish some relevant theories and introduce the definitions of the best fuzzy set and fuzzy number approximate optimal solutions and the worst fuzzy set and fuzzy number approximate optimal solutions of FNLPP. At last, we give two examples to show how to get the best (or worst) fuzzy number (or set) approximate optimal solution of FNLPP by using these established theories.
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