基礎的模糊限制條件最佳化的alpha切法，選擇alpha值及得到唯一解是困難的。本文採用三角模糊參數的表示，提出替代型單切的線性與非線性alpha表示函數及最佳化演算方法。本文所提的最佳化數學模型，可得到唯一合理折衷解。在多目標設計的問題裡，本文之結果顯示替代型單切法和一般認可之max-alpha結果相近。工程設計例亦顯示線性的目標函數alpha切表示式似優於非線性之alpha切表示式。 An alternative alpha-level cut for solving multiobjective nonlinear structural design problems with fuzzy resources were developed and proposed in this paper. The conventional standard alpha-cut method of fuzzy linear programming (FLP) inspired this development of innovative fuzzy nonlinear programming (FNLP) solution method. The conventional alpha-cut method applied on FNLP problems, the proposing novel formulation, and their inter-relations were simultaneously presented in this paper. The structural design example generally illustrated that the presenting approach notably analogy to the max-alpha method. Linear or nonlinear membership func tions of objective functions can be selected by designer depending on the real situations of design objectives. The presenting alternative alpha-level cut approach guaranteed to obtain the unique optimum design on multiobjective nonlinear engineering problems with fuzzy resources.
