This paper is designed based on the mathematical models for bi-level programming in Stackelberg game under type-2 fuzzy environment. The parameters of the objective functions on both levels are considered as type-2 fuzzy numbers in the first case whereas the parameters of the objective functions and the constraints are chosen as type-2 fuzzy numbers in the second case. Critical value based reduction methods are applied to reduce type-2 fuzzy numbers to type-1 fuzzy numbers in the first case. After that, centroid method is used for completely defuzzifying type-2 fuzzy numbers. Besides this, the obtained results are compared with the help of LINGO iterative scheme and genetic algorithm. Coming to the second case, a chance constraint programming with the help of generalized credibility measure is utilized to convert the fuzzy problem to its equivalent crisp form. LINGO iterative scheme is used to solve the deterministic problem using fuzzy programming. The sensitivity analysis is shown to different credibility levels of right hand side of the constraints to find the value of objective function in each level. Finally, real-life based numerical problems are presented to show the performance of the proposed models and techniques. At last, conclusion about the findings and outlook are described.

本文基于数学模型设计了在2型模糊环境下Stackelberg游戏的双层规划方法。在两种情况下，两个级别上的目标函数的参数均被视为2类模糊数，而在第二种情况下，目标函数的参数和约束均被视为2类模糊数。在第一种情况下，应用基于临界值的减少方法将2类模糊数减少为1类模糊数。之后，使用质心方法对2型模糊数进行完全模糊化处理。除此之外，在LINGO迭代方案和遗传算法的帮助下比较了获得的结果。关于第二种情况，利用广义可信度度量的机会约束编程将模糊问题转换为其等效的清晰形式。LINGO迭代方案用于使用模糊规划来解决确定性问题。敏感性分析显示出约束条件右侧的不同可信度级别，以找到每个级别的目标函数的值。最后，提出了基于现实生活的数值问题，以显示所提出的模型和技术的性能。最后，介绍了研究结果和展望。提出了基于现实生活的数值问题，以显示所提出的模型和技术的性能。最后，介绍了研究结果和展望。提出了基于现实生活的数值问题，以显示所提出的模型和技术的性能。最后，介绍了研究结果和展望。