| With the development of fuzzy theory, research on fuzzy linear programming has become very popular because real world is often uncertain. Classical decision theory ignores the existence of ambiguity in decision-making. In fact, the decision-making is an evaluation and selection process that based on many fuzzy factors, such as knowledge, psychology, aspirations and experience. Since the concept of fuzzy sets was proposed, people have applied the method of fuzzy mathematics to the processes of reasoning, evaluation, decision-making, control and so on. Decision science is one of the most successful areas to which the fuzzy set theory is applied. Consequently, it is of great significance to study the solutions of fuzzy programming problems.This paper has six chapters. In the first two chapters, we analyze and summarize relevant research results and introduce the basic concepts about the fuzzy sets and their operations. The third chapter gives five natural sorting criteria of fuzzy numbers and several classes of fuzzy linear programming problems. Then the fourth chapter defines five kinds of solutions for fuzzy programming problems with fuzzy coefficients and discusses the property about the solutions under five sorting criteria respectively. Finally, we make a discussion about the solutions of multi-objective programming problems with fuzzy coefficients and other classes of fuzzy linear programming problems.
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