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A decision making model based on intuitionistic multiplicative preference relations with approximate consistency

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Abstract

Intuitionistic fuzzy numbers possess the ability to model the bipolarity of practical objects and phenomena. The positive and negative opinions of decision makers (DMs) could be captured by intuitionistic multiplicative preference relations (IMPRs). In this study, the known consistency definitions of IMPRs are reviewed and the underlying ideas are analyzed. By considering the uncertainty shown by IMPRs, the concept of approximate consistency (AC) is proposed. Then the AC and acceptable AC of IMPRs are defined by dividing the non-determinacy judgements of the DM with the introduction of an attitude factor. The methods of eliciting the priorities of alternatives from an IMPR with acceptable AC are studied. A decision making model is proposed by considering the acceptable AC of IMPRs. Numerical results are reported to demonstrate that the application of different attitude factors could lead to different optimal solutions. It is observed that the inherent property of IMPRs should be incorporated into theoretical and practical models under intuitionistic fuzzy environments.

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Acknowledgements

The authors would like to thank the Associate Editor and the anonymous reviewers for the valuable comments improving the quality of the paper. The work was supported by the National Natural Science Foundation of China (Nos. 71871072, 71571054), the Guangxi Natural Science Foundation for Distinguished Young Scholars (No. 2016GXNSFFA380004), 2017 Guangxi high school innovation team and outstanding scholars plan, and the Innovation Project of Guangxi Graduate Education (No. YCSW2021044).

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Authors and Affiliations

  1. School of Mathematics and Information Science, Guangxi University, Nanning, 530004, Guangxi, China

    Xu Tan & Fang Liu

  2. China-ASEAN Research Institute, Guangxi University, Nanning, 530004, Guangxi, China

    Hui Zhao & Fang Liu

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  1. Hui Zhao
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  2. Xu Tan
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  3. Fang Liu
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Correspondence to Fang Liu.

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Zhao, H., Tan, X. & Liu, F. A decision making model based on intuitionistic multiplicative preference relations with approximate consistency. Int. J. Mach. Learn. & Cyber. 12, 2761–2775 (2021). https://doi.org/10.1007/s13042-021-01362-0

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  • DOI: https://doi.org/10.1007/s13042-021-01362-0

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