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Handling group decision-making model with incomplete hesitant fuzzy preference relations and its application in medical decision

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Abstract

On account of uncertainty and complexity of environments, it is more suitable to express their assessed value by means of hesitant fuzzy information for decision makers. In this paper, we establish a new group decision-making (GDM) model with incomplete hesitant fuzzy preference relations (HFPRs) based on mathematical programming approach. Firstly, based on the multiplicative consistency of incomplete HFPR, a mathematical programming model is established to obtain multiplicative consistent fuzzy preference relation (FPR) from a given incomplete HFPR. Following this, experts are assigned with weights according to their consistency degree. Subsequently, a group consensus reaching process algorithm is constructed based on the obtained multiplicative consistent FPRs. Correspondingly, a GDM model is further established. Finally, a medical decision application is studied to present the practicability and effectiveness of the proposed method.

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Acknowledgements

This research was supported in part by grants from the National Natural Science Foundation of China (#71601032), the Fundamental Research Funds for the Central Universities (ZYGX2015KYQD079).

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Authors and Affiliations

  1. School of Management and Economics, University of Electronic Science and Technology of China, Chengdu, 611731, China

    Yongming Song & Guangxu Li

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  1. Yongming Song
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  2. Guangxu Li
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Correspondence to Guangxu Li.

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Song, Y., Li, G. Handling group decision-making model with incomplete hesitant fuzzy preference relations and its application in medical decision. Soft Comput 23, 6657–6666 (2019). https://doi.org/10.1007/s00500-018-3316-5

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