Abstract In this article, we develop the definition of the degree of fuzziness for a polygonal fuzzy set. First of all we take a polygon of sides 2n + 1 and then we calculate its area. Also we consider the area of an half ellipse whose length of major axis are the length of the fuzzy interval of the given fuzzy set and its semi minor axis is 1. We construct the relative error as the measure of the degree of fuzziness and present the index value of the fuzzy parameter after K years and its role in modern decision making problems. Finally real life applications are discussed to justify the novelty of the new method.

中文翻译：

---

关于模糊度和模糊决策

摘要 在本文中，我们提出了多边形模糊集模糊度的定义。首先，我们取一个边长为 2n + 1 的多边形，然后计算它的面积。我们还考虑了一个半椭圆的面积，它的长轴长度是给定模糊集的模糊区间的长度，它的半短轴是 1。我们构造了相对误差作为模糊度的度量，并给出了K年后模糊参数的指标值及其在现代决策问题中的作用。最后讨论了现实生活中的应用，以证明新方法的新颖性。