Computer Engineering and Applications ›› 2017, Vol. 53 ›› Issue (24): 257-262.DOI: 10.3778/j.issn.1002-8331.1606-0255

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Interval-valued intuitionistic VIKOR considering unknown attribute weights

GENG Xiuli, MA Wanyuan   

  1. Business School, University of Shanghai for Science and Technology, Shanghai 200093, China
  • Online:2017-12-15 Published:2018-01-09



  1. 上海理工大学 管理学院,上海 200093

Abstract: Aiming at the problem that the traditional fuzzy theory considers the membership information only when dealing with multi-attribute decision-making problem, an extended VIKOR approach is proposed based on Interval-Valued Intuitionistic Fuzzy Sets(IVIFSs). IVIFSs are used to handle interval semantic evaluation information. Considering the problem that the attribute weights are unknown, the attribute weights are determined according to the support degree among the IVIFSs. The higher the attributes’ support degree, the lower its weight. The cross entropy of IVIFSs is introduced into the VIKOR to calculate the distance between IVIFSs. Finally, a case study of evaluating mobile phone design concepts is presented to illustrate the effectiveness of the proposed method.

Key words: multi-attribute decision-making, VlseKriterijumska Opti-mizacija I Kompromisno Resenje(VIKOR), Interval-Valued Intuitionistic Fuzzy Sets(IVIFSs), cross entropy, support degree

摘要: 针对传统模糊集方法处理不确定性多属性决策问题时只考虑隶属度信息的缺点,提出了基于区间直觉模糊集的VIKOR决策方法。区间直觉模糊集用来处理区间语义评价信息。考虑属性权重未知的问题,基于区间直觉模糊数间的支持度确定属性权重,属性的支持度越高,则其权重越小。将区间直觉模糊交叉熵引入区间直觉模糊VIKOR方法用于计算区间直觉模糊数间的距离。最后以某手机设计方案评价为例,验证了所提方法的有效性。

关键词: 多属性决策, VIKOR方法, 区间直觉模糊集, 交叉熵, 支持度