A Pythagorean fuzzy set is a powerful model for depicting fuzziness and uncertainty. This model is more flexible and practical as compared to an intuitionistic fuzzy model. This research article presents a new model called LR-type fully Pythagorean fuzzy linear programming problem. We consider thenotions of LR-type Pythagorean fuzzy number, ranking for LR-type Pythagorean fuzzy numbers and arithmetic operations for unrestricted LR-type Pythagorean fuzzy numbers. We propose a method to solve LR-type fully Pythagorean fuzzy linear programming problems with equality constraints. We describe our proposed method with numerical examples including diet problem.

中文翻译：

---

具有等式约束的LR型完全勾股模糊线性规划问题

毕达哥拉斯模糊集是描述模糊性和不确定性的强大模型。与直觉模糊模型相比，该模型更加灵活和实用。这篇研究文章提出了一种称为 LR 型完全勾股模糊线性规划问题的新模型。我们考虑了LR型勾股模糊数的概念、LR型勾股模糊数的排序和无限制LR型勾股模糊数的算术运算。我们提出了一种解决具有等式约束的 LR 型完全勾股模糊线性规划问题的方法。我们用包括饮食问题在内的数值例子来描述我们提出的方法。