GOAL PROGRAMMING IN A FUZZY ENVIRONMENT
研究了在模糊环境下如何应用模糊子集概念解决目标规划问题，提出了基于线性规划的求解方法，并考虑了目标权重相等和不等两种情况，附有数值示例。
Abstract This paper illustrates the application of “fuzzy subsets” concepts to goal programming in a fuzzy environment. In contrast to a typical goal‐programming problem, the goals are stated imprecisely when the decision environment is fuzzy. The paper first considers a fuzzy goal‐programming problem with multiple goals having equal weights associated with them. A solution approach based on linear programming is developed. Next, the solution approach is extended to the case where unequal fuzzy weights are associated with multiple goals. Numerical examples are provided for both cases to illustrate the solution procedure.