In real-life problems, there is always a situation where a decision maker is engrossed in detecting multi aspiration levels for the purposes that cannot be explained in specific way. To address this, the paper aims to consider a new generalized non-linear intuitionistic fuzzy number and, hence, defined the possibilistic mean of it with possibility measures. In addition, we have proposed the arithmetic operations of different generalized non-linear intuitionistic fuzzy number using \((\alpha , \beta )\)-cut method. The applicability of the developed operations are explained with a case study from the multi-item inventory model in which the price and quality dependent demand are modeled under the generalized non-linear intuitionistic fuzzy environment. A new defuzzification method has been developed to solve the developed multi-item inventory model. Finally, numerical and graphical representation of the proposed model has been discussed to highlight the superiority of the presented work.

在现实生活中的问题中，总是存在决策者全神贯注于检测多向吸入水平的目的，而无法以特定方式进行解释。为了解决这个问题，本文的目的是考虑一个新的广义非线性直觉模糊数，并因此用可能的措施定义了它的可能均值。另外，我们提出了使用\（（（\ alpha，\ beta）\）的不同广义非线性直觉模糊数的算术运算。-cut方法。通过多项目库存模型的案例研究来说明开发的操作的适用性，其中在广义非线性直觉模糊环境下对价格和质量相关的需求进行建模。已经开发了一种新的去模糊化方法来解决已开发的多项目库存模型。最后，讨论了所提出模型的数字和图形表示，以突出所提出工作的优越性。