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Global fusion of multiple order relations and hesitant fuzzy decision analysis

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Abstract

Generally, when making decisions, decision makers always have their subjective opinions regarding attributes, alternatives or even themselves based on their experience and knowledge. Although some methods, such as weighted aggregation, preference analysis, and fuzzy decision-making, can be used to describe and fuse these opinions, these methods involve two limitations, specifically, inaccurate numerical presentation and stepwise aggregation method. To address these issues, in this paper, we define multiple order relations expressed as several inequalities to describe these subjective opinions, and then propose hesitant fuzzy global fusion models to simultaneously fuse the multiple order relations and make a decision. To this end, we first introduce the hesitant fuzzy envelopment rate and develop partial fusion models for single order relations; subsequently, multiple order relations and global fusion model are proposed. Moreover, to ensure computability, we further derive the linear forms of these models and summarize the improvement schedules for the nonoptimal alternatives. According to these calculations and results, a hesitant fuzzy decision analysis including subjective opinion fusion, evaluation presentation, decision-making calculation, alternative ranking and selection, and nonoptimal improvement, can be performed. Finally, an illustrative example based on a real background is considered to show the effectiveness of the models and decision analysis processes.

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Acknowledgments

This work was supported with Natural Science Foundation of China (Nos. 72071176, 71725001, and 71910107002) and FEDER Funds by the Ministry of Science and University in the Project TIN2016-75850-R. The Scientific Research Foundation of Yunnan Education Department of China (No. 2020Y0374).

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Authors and Affiliations

  1. Business School, Yunnan University of Finance and Economics, Kunming, 650221, People’s Republic of China

    Wei Zhou & Man Liu

  2. Business School, Sichuan University, Chengdu, 610064, China

    Wei Zhou & Zeshui Xu

  3. Andalusian Research Institute in Data Science and Computational Intelligence, University of Granada, 18071, Granada, Spain

    Enrique Herrera-Viedma

  4. Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Enrique Herrera-Viedma

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  1. Wei Zhou
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  2. Man Liu
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  3. Zeshui Xu
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  4. Enrique Herrera-Viedma
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Correspondence to Man Liu.

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Zhou, W., Liu, M., Xu, Z. et al. Global fusion of multiple order relations and hesitant fuzzy decision analysis. Appl Intell 52, 6866–6888 (2022). https://doi.org/10.1007/s10489-021-02689-5

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