基礎的模糊限制條件最佳化的.alpha.切法，選擇α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-a 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 a- level cut for solving multiobjective nonlinear structural design problemswith fuzzy resources were developed and proposed in this paper. The conventional standarda-cut method of fuzzy linear programming (FLP) inspired this development of innovative fuzzynonlinear programming (FNLP) solution method. The conventional a-cut method applied onFNLP problems, the proposing novel formulation, and their inter-relations were simultaneouslypresented in this paper. The structural design example generally illustrated that the presentingapproach notably analogy to the max-a method. Linear or nonlinear membership func tions ofobjective functions can be selected by designer depending on the real situations of designobjectives. The presenting alternative a-level cut approach guaranteed to obtain the uniqueoptimum design on multiobjective nonlinear engineering problems with fuzzy resources.
