Prioritization and Aggregation of Intuitionistic Preference Relations: A Multiplicative-Transitivity-Based Transformation from Intuitionistic Judgment Data to Priority Weights

Yibin Zhang, Kevin W. Li and Zhou-Jing Wang ()
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Yibin Zhang: Shanghai Lixin University of Commerce
Kevin W. Li: University of Windsor
Zhou-Jing Wang: Zhejiang University of Finance and Economics

Group Decision and Negotiation, 2017, vol. 26, issue 2, No 7, 409-436

Abstract: Abstract This article proposes a goal programming framework for deriving intuitionistic fuzzy weights from intuitionistic preference relations (IPRs). A new multiplicative transitivity is put forward to define consistent IPRs. By analyzing the relationship between intuitionistic fuzzy weights and multiplicative consistency, a transformation formula is introduced to convert normalized intuitionistic fuzzy weights into multiplicative consistent IPRs. By minimizing the absolute deviation between the original judgment and the converted multiplicative consistent IPR, two linear goal programming models are developed to obtain intuitionistic fuzzy weights from IPRs for both individual and group decisions. In the context of multicriteria decision making with a hierarchical structure, a linear program is established to obtain a unified criterion weight vector, which is then used to aggregate local intuitionistic fuzzy weights into global priority weights for final alternative ranking. Two numerical examples are furnished to show the validity and applicability of the proposed models.

Keywords: Intuitionistic preference relation (IPR); Multiplicative consistency; Intuitionistic fuzzy weight; Aggregation; Linear programming (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10726-016-9503-9

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