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Spherical Fuzzy Linear Assignment Method for Multiple Criteria Group Decision-Making Problems
Informatica ( IF 2.9 ) Pub Date : 2020-01-01 , DOI: 10.15388/20-infor433
Yaser Donyatalab , Seyed Amin Seyfi-Shishavan , Elmira Farrokhizadeh , Fatma Kutlu Gündoğdu , Cengiz Kahraman

Spherical fuzzy sets theory is useful and advantageous for handling uncertainty and imprecision in multiple attribute decision-making problems by considering membership, nonmembership, 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 (SFLAM) 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 criterionwise 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.

中文翻译:

多准则群决策问题的球面模糊线性分配方法

通过考虑隶属度、非隶属度和不确定度,球面模糊集理论对于处理多属性决策问题中的不确定性和不精确性是有用和有利的。在本文中,通过扩展经典的线性分配方法,我们提出了一种称为球形模糊线性分配方法(SFLAM)的新方法来解决球形模糊环境中的多准则群决策问题。提出了由聚合函数、评分函数、准确度函数、加权排名频率和二元数学模型组成的排名程序,以确定标准偏好和各种替代方案的优先顺序。该方法的适用性和有效性通过风电场选址问题得到证明。所提出的方法可帮助管理人员根据确定的标准找到建造风力发电厂的最佳位置。最后,对所提出的球形模糊线性分配(SF-LAM)模型与球形模糊层次分析法(SF-AHP)和球形模糊 WASPAS 方法进行了比较分析。
更新日期:2020-01-01
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