In this paper, a multi-objective faculty course allocation problem with result analysis and feedback analysis based on uncertain preferences mathematical model is presented. To deal with an uncertain model, three different ranking criteria are being used to develop: a) Expected value, b) Optimistic value, c) Dependent optimistic value criterion. These mathematical models are transformed into their corresponding deterministic forms using the basic concepts of uncertainty theory. The deterministic model of DOCM consists of fractional objectives which are converted into their linear form using Charnes and Cooper’s transformation. These deterministic formulations MOFCAP are converted into a single objective problem by using the fuzzy programming technique with linear and exponential membership functions. Further, the single objective problem for all the defined models is solved in the Lingo 18.0 software to derive the Pareto-optimal solution. The sensitivity of the models is also performed to examine the variation in the objective function due to the variation in parameters. Finally, a numerical example is given to exhibit the application and algorithm of the models.

中文翻译：

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基于结果和反馈的不确定偏好的多目标教师课程分配问题

本文提出了一种基于不确定偏好数学模型的结果分析和反馈分析的多目标教师课程分配问题。为了处理不确定的模型，正在使用三种不同的排名标准来制定：a）期望值，b）乐观值，c）依赖乐观值标准。使用不确定性理论的基本概念将这些数学模型转换为相应的确定性形式。DOCM 的确定性模型由分数目标组成，这些目标使用 Charnes 和 Cooper 变换转换为线性形式。通过使用具有线性和指数隶属函数的模糊规划技术，这些确定性公式 MOFCAP 被转换为单个目标问题。更远，所有定义模型的单一目标问题在 Lingo 18.0 软件中求解，以得出帕累托最优解。还执行模型的敏感性以检查由于参数变化导致的目标函数的变化。最后，给出了一个数值例子，展示了模型的应用和算法。