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A spherical fuzzy methodology integrating maximizing deviation and TOPSIS methods
Engineering Applications of Artificial Intelligence ( IF 7.5 ) Pub Date : 2021-03-03 , DOI: 10.1016/j.engappai.2021.104212
Elmira Farrokhizadeh , Seyed Amin Seyfi-Shishavan , Fatma Kutlu Gündoğdu , Yaser Donyatalab , Cengiz Kahraman , Seyyed Hadi Seifi

Due to the uncertainty and vagueness, ambiguity and subjectivity of the information in an intricate decision-making environment, the assessment data specified by experts are mostly fuzzy and uncertain. As an extension of Pythagorean fuzzy sets (PyFSs) and picture fuzzy sets (PFSs), spherical fuzzy sets (SFSs) are used frequently for presenting fuzzy and indeterminate information. In multi-criteria decision-making (MCDM) problems, the weights of criteria are not known generally. The maximizing deviation technique is a useful tool to handle such problems that we have partially or incomplete information about the criteria’ weights. This research expands the classical maximizing deviation technique to the spherical fuzzy maximizing deviation technique using single-valued (SV) and interval-valued (IV) spherical fuzzy sets to determine criteria weights. To rank the alternatives and specify the preeminent preference, we proposed the Interval Valued Spherical Fuzzy TOPSIS method based on the similarity measure instead of distance measure. For this purpose, we proposed an IVSF cosine similarity measure. To present its effectiveness and practicability, we apply the proposed methodology to an advertisement strategy selection problem, where IVSF sets are used to represent the evaluations about alternatives and criteria. A sensitivity analysis with different similarity measurements is performed to show the reliability of the proposed methodology.



中文翻译:

结合最大偏差和TOPSIS方法的球形模糊方法

由于在复杂的决策环境中信息的不确定性,模糊性,主观性和主观性,专家指定的评估数据大多是模糊和不确定的。作为勾股勾股模糊集(PyFSs)和图片模糊集(PFS)的扩展,球形模糊集(SFS)经常用于表示模糊和不确定的信息。在多准则决策(MCDM)问题中,准则的权重通常是未知的。最大化偏差技术是一种有用的工具,可用于处理有关标准权重的部分或不完全信息的问题。这项研究使用单值(SV)和区间值(IV)球形模糊集确定标准权重,将经典的最大偏差技术扩展到球形模糊最大偏差技术。为了对备选方案进行排序并指定卓越的偏好,我们提出了一种基于相似性度量而不是距离度量的区间值球面模糊TOPSIS方法。为此,我们提出了IVSF余弦相似性度量。为了展示其有效性和实用性,我们将提出的方法应用于广告策略选择问题,在该问题中,IVSF集用于表示对替代方案和标准的评估。进行了具有不同相似性度量的灵敏度分析,以显示所提出方法的可靠性。为了展示其有效性和实用性,我们将提出的方法应用于广告策略选择问题,在该问题中,IVSF集用于表示对替代方案和标准的评估。进行了具有不同相似性度量的灵敏度分析,以显示所提出方法的可靠性。为了展示其有效性和实用性,我们将提出的方法应用于广告策略选择问题,在该问题中,IVSF集用于表示对替代方案和标准的评估。进行了具有不同相似性度量的灵敏度分析,以显示所提出方法的可靠性。

更新日期:2021-03-03
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