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Spherical Fuzzy Linear Assignment Method for Multiple Criteria Group Decision-Making Problems

机译:多种标准组决策问题的球面模糊线性分配方法

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摘要

Spherical fuzzy sets theory is useful and advantageous for handling uncertainty and imprecision in multiple attribute decision-making problems by considering membership, non-membership, and indeterminacy degrees. In this paper, by extending the classical linear assignment method, we propose a novel method called the spherical fuzzy linear assignment method (SF-LAM) to solve multiple criteria group decision-making problems in the spherical fuzzy environment. A ranking procedure consisting of aggregation functions, score functions, accuracy functions, weighted rank frequency, and a binary mathematical model are presented to determine the criterion-wise preferences and various alternatives' priority order. The proposed method's applicability and validity are shown through the selection problem among wind power farm locations. The proposed method helps managers to find the best location to construct the wind power plant based on the determined criteria. Finally, a comparative analysis is performed between the proposed spherical fuzzy linear assignment (SF-LAM) model and the spherical fuzzy analytic hierarchy process (SF-AHP) and spherical fuzzy WASPAS methods.
机译:球形模糊集合理论是有用的,可通过考虑成员,非成员资格和不确定度来处理多个属性决策问题的不确定性和不精确。本文通过延长古典线性分配方法,我们提出了一种称为球形模糊线性分配方法(SF-LAM)的新方法,以解决球形模糊环境中的多个标准组决策问题。提出了由聚合函数,得分函数,精度函数,加权等级频率和二进制数学模型组成的排名过程以确定标准方面的偏好和各种替代方案的优先顺序。所提出的方法的适用性和有效性是通过风电场位置的选择问题显示的。该方法有助于管理人员基于确定的标准找到构建风电厂的最佳位置。最后,在所提出的球形模糊线性分配(SF-LAM)模型和球面模糊分析层次(SF-AHP)和球面模糊WASPAS方法之间进行比较分析。

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