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Generalized score functions on interval-valued intuitionistic fuzzy sets with preference parameters for different types of decision makers and their application

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Abstract

In this paper, the interval-valued intuitionistic fuzzy sets (IVIFSs) are studied from the viewpoint of the decision makers’ preference. Firstly, two series of principles are proposed to guide the ranking of interval-valued intuitionistic fuzzy numbers (IVIFNs), and two kinds of illustrative generalized score functions on IVIFSs are proposed according to the newly proposed principles. Secondly, two kinds of generalized score functions on IVIFSs are proposed based on decision-makers’ preference. The two generalized score functions are both of two parameters, which represent the decision makers’ attitudinal characters on the classical score values and the classical accuracy values on IVIFNs, respectively. Thirdly, two kinds of generalized score functions on IVIFSs, which are suitable for ranking IVIFNs when there is no information about the importance weights of the classical score values and accuracy values on IVIFNs, are proposed based on integral. Fourthly, three kinds of multi-criteria decision-making (MCDM) methods in interval-valued intuitionistic fuzzy setting are proposed. Finally, an example shows that when a novel generalized score function on IVIFSs is proposed, its suitable application environments should also be pointed out.

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Acknowledgments

The Fangwei Zhang’s work is partially supported by the National Natural Science Foundation of China (51508319, 61374195), the research program of the National Special Authorized Social Science Fund of China (07@ZH005), the Nature and Science Fund from Zhejiang Province Ministry of Education (Y201327642). The Jihong Chen’s work is partially supported by the National Natural Science Foundation of China (51409157). The authors are thankful to Prof. Lihua Luo, Mrs. Sifan Li, Mrs. Hang Tian, Mr. Yajun Deng, College of Transport and Communications, Shanghai Maritime University, Mrs. Yujuan Xu, School of Economics and Management, Shanghai Maritime University, Mrs. Shujun Xiao, Mr. Boyi Yu, Mrs. Chun Chen, Logistics Engineering College, Shanghai Maritime University. They have provided useful guidance for this manuscript. Specifically, Fangwei Zhang conceived the generalized score functions on interval-valued intuitionistic fuzzy sets; Jihong Chen and Jiaru Li pointed out that the novel score functions are suitable to make supplier decision making; Yuhua Zhu and Jiaru Li analyzed and calculated the example data; Fangwei Zhang, Jiaru Li and Ziyi Zhuang wrote the manuscript; Fangwei Zhang, Sifan Li, Boyi Yu, Yujuan Xu, and Qiang Li revised the manuscript. All the authors declare no conflict of interest.

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Authors and Affiliations

  1. College of Transport and Communications, Shanghai Maritime University, Shanghai, 201306, China

    Fangwei Zhang, Jihong Chen, Yuhua Zhu & Jiaru Li

  2. School of Transportation, Southeast University, Nanjing, 210096, China

    Fangwei Zhang

  3. College of Information Engineering, Shanghai Maritime University, Shanghai, 201306, China

    Ziyi Zhuang

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  1. Fangwei Zhang
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  2. Jihong Chen
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  3. Yuhua Zhu
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  4. Ziyi Zhuang
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  5. Jiaru Li
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Correspondence to Yuhua Zhu.

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Zhang, F., Chen, J., Zhu, Y. et al. Generalized score functions on interval-valued intuitionistic fuzzy sets with preference parameters for different types of decision makers and their application. Appl Intell 48, 4084–4095 (2018). https://doi.org/10.1007/s10489-018-1184-4

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