In order to simplify the complex calculation and solve the difficult solution problems of neutrosophic number optimization models (NNOMs) in the practical production process, this paper presents two methods to solve NNOMs, where Matlab built-in function “fmincon()” and neutrosophic number operations (NNOs) are used in indeterminate environments. Next, the two methods are applied to linear and nonlinear programming problems with neutrosophic number information to obtain the optimal solution of the maximum/minimum objective function under the constrained conditions of practical productions by neutrosophic number optimization programming (NNOP) examples. Finally, under indeterminate environments, the fit optimal solutions of the examples can also be achieved by using some specified indeterminate scales to fulfill some specified actual requirements. The NNOP methods can obtain the feasible and flexible optimal solutions and indicate the advantage of simple calculations in practical applications.

中文翻译：

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中智数优化模型及其在实际生产过程中的应用

为了简化复杂的计算并解决实际生产过程中的中智数优化模型（NNOM）的难题，本文提出了两种求解NNOM的方法，其中Matlab内置函数“ fmincon（）”和中智数操作（NNO）用于不确定的环境。接下来，通过中智数优化编程（NNOP）示例，将这两种方法应用于带有中智数信息的线性和非线性规划问题，以在实际生产的约束条件下获得最大/最小目标函数的最优解。最后，在不确定的环境下，还可以通过使用一些指定的不确定度表来满足某些指定的实际要求，来实现示例的拟合最优解。