Abstract
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.
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