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A MAGDM Method Considering the Amount and Reliability Information of Interval-Valued Intuitionistic Fuzzy Sets

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Abstract

Intuitionistic fuzzy sets (IFSs) and interval-valued intuitionistic fuzzy sets (IVIFSs) are flexible to deal with the vague and/or imprecise information. Thus, many multi-attribute group decision making (MAGDM) problems are modeled by IFSs or IVIFSs. The comparison of two IVIFSs is still a hot topic, and thereby this paper proposes a new ranking function of IVIFSs, which takes into the amount and the reliability information of an IVIFS and combines the advantages of TOPSIS. Based on the new ranking function, we establish an optimization model to determine the attribute weights when they are unknown and partially known. Moreover, we develop an effective method for solving MAGDM problems in which the attribute values are expressed with IVIFSs. A numerical example of supplier selection problem is examined to demonstrate applicability and feasibility of the proposed method.

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Acknowledgments

This research was supported by the Key Program of National Natural Science Foundation of China (No. 71231003), the National Natural Science Foundation of China (Nos. 71061006, 61263018, 71171055 and 71001015), the Program for New Century Excellent Talents in University (the Ministry of Education of China, NCET-10-0020), the Specialized Research Fund for the Doctoral Program of Higher Education of China (No. 20113514110009) and “Science and Technology Innovation Team Cultivation Plan of Colleges and Universities in Fujian Province.”

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Authors and Affiliations

  1. School of Software, Jiangxi University of Science and Technology, Nanchang, 330013, Jiangxi, China

    Hai-Ping Ren

  2. School of Economics and Management, Fuzhou University, No. 2, Xueyuan Road, Daxue New District, Fuzhou District, Fuzhou, 350108, Fujian, China

    Hai-Han Chen & Deng-Feng Li

  3. School of Architecture, Fuzhou University, Fuzhou, 350108, Fujian, China

    Wei Fei

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  1. Hai-Ping Ren
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  2. Hai-Han Chen
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  3. Wei Fei
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  4. Deng-Feng Li
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Correspondence to Hai-Han Chen or Deng-Feng Li.

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Ren, HP., Chen, HH., Fei, W. et al. A MAGDM Method Considering the Amount and Reliability Information of Interval-Valued Intuitionistic Fuzzy Sets. Int. J. Fuzzy Syst. 19, 715–725 (2017). https://doi.org/10.1007/s40815-016-0179-8

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