规划问题的综合模型及解的性质

A Comprehensive Model of Programming Problem and Its Solution Properties

对传统规划问题模型作了统一描述，给出了有效解与弱有效解的一般定义．利用Ｆｕｚｙ集合理论作为工具，依据Ｆｕｚｙ值集的概念，建立了描述规划问题的综合模型，给出了解的定义，同时讨论了综合模型解的有效性．

Correct and rational description of programming problem is very important for its successful applications. A unified description of traditional programming model is given, and the definitions of efficient and weak efficient solutions are proposed. By using Fuzzy set theory a comprehensive model of programming problem depending on the concept of Fuzzy value set is established. The definition of solutions for the new model is proposed and the efficient properties of solutions are discussed. The traditional multiple programming model is a special case of the new model.