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Novel Approach of Obtaining Dynamic Multi-attribute Weight for Intuitionistic Fuzzy Environment Based on Fractional Integrals

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Abstract

Although there are many methods to obtain attribute weights in dynamic fuzzy environment, most of them assume attribute weights to obey predetermined distribution functions or constraints, which make them impossible to accurately describe the decision-making process and get reasonable results. In order to solve this problem, fractional integral with memory and heredity is introduced. Decision-makers’ risk preference information and the amount of useful information given by attributes are both considered to effectively address dynamic multi-attribute decision-making problems in intuitionistic fuzzy. Then, a value function is designed to accurately describe the decision-makers’ risk preference information and a multi-stage dynamic reference point setting method for intuitionistic fuzzy environment is proposed. Next, a method for obtaining dynamic attribute weights for intuitionistic fuzzy environment is given. By considering the background information of alternatives, a dynamic psychological distance measure for intuitionistic fuzzy set is produced. Based on the proposed dynamic psychological distance measure and TOPSIS, a dynamic multi-attribute decision-making method for intuitionistic fuzzy environment is given. Finally, two examples are given to illustrate the effectiveness of the method and the influence of the parameters is analyzed.

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Acknowledgements

This work was supported by the Science and Technology Project of Chongqing Municipal Education Committee (Grant No. KJQN201800624) of China, the Pro- ject of Humanities and Social Sciences planning fund of Ministry of Education (18YJA630022) of China, and the National Natural Science Foundation of China (Grant No. 11671001, 61472056)

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  1. School of Science/Key Lab of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing, 400065, People’s Republic of China

    Yali Cheng, Yonghong Li & Jie Yang

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  1. Yali Cheng
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  2. Yonghong Li
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Correspondence to Yonghong Li.

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Cheng, Y., Li, Y. & Yang, J. Novel Approach of Obtaining Dynamic Multi-attribute Weight for Intuitionistic Fuzzy Environment Based on Fractional Integrals. Int. J. Fuzzy Syst. 22, 242–256 (2020). https://doi.org/10.1007/s40815-019-00765-0

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