Problems in daily life can be modeled into mathematical forms, one of them is the optimization of the quadratic form where the objective functions are the quadratic function. There are many real problems involving variables that cannot be stated numerically so that fuzzy logic appears. The purpose of this research is to optimize the quadratic form with all its parameters in the form of a fuzzy number by using the method of a triangular fuzzy number. This research resulted in a new completion method by utilizing definitions and arithmetic on the triangular fuzzy numbers. The resulted method is by changing a single fuzzy quadratic program becomes a simple quadratic multiobjective program. By using Sum of Objective Method, the multiobjective problem can be changed into single optimization problem. This single optimization problem is then completed using Karush–Kuhn–Tucker method, resulting in three optimal values which will form optimal values in the form of triangular fuzzy numbers.

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具有模糊数参数的二次形式优化：多目标方法

可以将日常生活中的问题建模为数学形式，其中之一是对二次形式的优化，其中目标函数是二次函数。存在许多涉及变量的实际问题，这些问题无法用数字表示，因此出现了模糊逻辑。本研究的目的是通过使用三角模糊数的方法，以其所有参数为模糊数的形式优化二次形式。该研究利用三角模糊数的定义和算法，提出了一种新的完成方法。所产生的方法是通过将单个模糊二次程序变成简单的二次多目标程序。通过使用目标求和方法，可以将多目标问题变成单个优化问题。