The inherent vagueness and uncertainty in reaching decisions are effectively coped with fuzzy logic and the concept of spherical fuzzy sets is one of the latest developments in this area. The hesitancy of decision‐maker(s) about an attribute can be represented more extensively since the squared sum of membership, nonmembership, and hesitancy degrees should be between 0 and 1 while each degree should be defined in [0, 1]. In this study, we propose a novel entropy measure for spherical fuzzy sets and show its ability to provide the required properties. Then its usage in determining objective attribute weights is shown in an application of SF‐WASPAS (Spherical Fuzzy extension of Weighted Aggregated Sum Product Assessment) on an illustrative problem. The robustness of the novel entropy's usage as an objective weighting tool is demonstrated by comparing the ranking solution of the proposed SF‐WASPAS with the rankings obtained by SF‐TOPSIS, SF‐VIKOR, and SF‐CODAS.

中文翻译：

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一种新的球形模糊集熵命题及其在多属性决策中的应用

模糊逻辑有效地解决了决策中固有的模糊性和不确定性，球形模糊集的概念是该领域的最新发展之一。决策者对属性的犹豫可以更广泛地表示，因为隶属度、非隶属度和犹豫度的平方和应该在 0 到 1 之间，而每个度都应该在 [0, 1] 中定义。在这项研究中，我们为球形模糊集提出了一种新的熵度量，并展示了其提供所需属性的能力。然后在 SF-WASPAS（加权聚合总和产品评估的球形模糊扩展）在一个说明性问题上的应用中展示了它在确定客观属性权重中的用途。新熵的鲁棒性