Antinomy in Fuzzy Linear Programming

In this paper, the author analyzes the “antinomy” on degenerate and nondegenerate classical linear programming, discusses the relation between the optimal solutions to the classic linear programming and fuzzy one, puts forward the latter antinomy problem, and gets a solution method to the linear programming with fuzzy variables from the relation that the latter with its dual one, inducing a solution method to antinomy of the fuzzy coefficient and fuzzification variables linear programming, then getting not only the theorem on the latter optimal solution but also the condition of fuzzy form for a unique optimal solution in linear programming, and confirming that the problem of the antinomy in degenerate linear programming can be solved with the aid of fuzzification.

Keywords:

Antinomy , more-for-less (or the less-for-more) paradox , Fuzzy linear programming , unique optimal solution