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Consistent fuzzy preference relation with geometric Bonferroni mean: a fused preference method for assessing the quality of life

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Abstract

Fuzzy preference relation (FPR) is commonly used in solving multi-criteria decision making problems because of its efficiency in representing people’s perceptions. However, the FPR suffers from an intrinsic limitation of consistency in decision making. In this regard, many researchers proposed the consistent fuzzy preference relation (CFPR) as a decision-making approach. Nevertheless, most CFPR methods involve a traditional aggregation process which does not identify the interrelationship between the criteria of decision problems. In addition, the information provided by individual experts is indeed related to that provided by other experts. Therefore, the interrelationship of information on criteria should be dealt with. Based on this motivation, we propose a modified approach of CFPR with Geometric Bonferroni Mean (GBM) operator. The proposed method introduces the GBM as an operator to aggregate information. The proposed method is applied to a case study of assessing the quality of life among the population in Setiu Wetlands. It is shown that the best option derived by the proposed method is consistent with that obtained from the other methods, despite the difference in aggregation operators.

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Acknowledgements

This study was supported by Niche Research Grant Scheme, Ministry of Higher Education, Malaysia and Universiti Malaysia Terengganu with vote no. NRGS 53131/7, the National Natural Science Foundation of China (Nos. 71501135 and 71771156), the 2019 Sichuan Planning Project of Social Science (No. SC18A007), the 2018 Key Project of the Key Research Institute of Humanities and Social Sciences in Sichuan Province (No. Xq18A01, No. LYC18-02), the Electronic Commerce and Modern Logistics Research Center Program, Key Research Base of Humanities and Social Science, Sichuan Provincial Education Department (No. DSWL18-2), the Spark Project of Innovation at Sichuan University (No. 2018hhs-43), and National Spanish project TIN2016-75850-R.

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Authors and Affiliations

  1. School of Informatics and Applied Mathematics, University Malaysia Terengganu, 21030, Kuala Terengganu, Malaysia

    Fatin Mimi Anira Alias & Lazim Abdullah

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

    Lazim Abdullah, Xunjie Gou & Huchang Liao

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

    Xunjie Gou & Enrique Herrera-Viedma

  4. Department of Computer Science and Artificial Intelligence, University of Granada, E-18071, Granada, Spain

    Huchang Liao & Enrique Herrera-Viedma

  5. Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, Saudi Arabia

    Enrique Herrera-Viedma

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  1. Fatin Mimi Anira Alias
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  2. Lazim Abdullah
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  3. Xunjie Gou
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  4. Huchang Liao
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  5. Enrique Herrera-Viedma
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Correspondence to Huchang Liao.

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Alias, F.M.A., Abdullah, L., Gou, X. et al. Consistent fuzzy preference relation with geometric Bonferroni mean: a fused preference method for assessing the quality of life. Appl Intell 49, 2672–2683 (2019). https://doi.org/10.1007/s10489-019-01415-6

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