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Einstein Choquet Integral Operators for PROMETHEE II Group Decision Making Method with Triangular Intuitionistic Fuzzy Numbers

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International Conference on Oriental Thinking and Fuzzy Logic

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 443))

Abstract

In order to reflect the interactions phenomena among attributes involved in decision making and simulate the mechanism of human’s fuzziness thinking, a group decision model is established, in which the evaluation values are represented by triangular intuitionistic fuzzy numbers. By virtue of fuzzy Einstein Choquet integral geometric operator, the values of each expert with respect to multi-attributes are aggregated into triangular intuitionistic fuzzy numbers, and some interesting properties of that are also studied. PROMETHEE II model is employed to obtain group opinion, and select the best alternative. The proposed method can take full advantage of interactions information contained in the original data and the subjective information of experts. Moreover, an illustrative example is employed to demonstrate the practicality and effectiveness of the proposed approach.

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Acknowledgments

Thanks to the supported by the Natural Science Foundation of China (No. 61203283), Liaoning Provincial Natural Science Foundation of China (No. 2014025004) and the Fundamental Research Funds for the Central Universities (Nos. 3132014036, 3132014324), Scientific Research Project of Liaoning Provincial Education Department (No. L2015072).

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Authors and Affiliations

  1. Department of Mathematics, Dalian Maritime University, Dalian, 116026, China

    Lanlan Li, Lidong Wang & Binquan Liao

Authors
  1. Lanlan Li
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  2. Lidong Wang
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  3. Binquan Liao
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Corresponding author

Correspondence to Lidong Wang .

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Editors and Affiliations

  1. Guangzhou Vocational Collg. Sci. & Tech., Guangzhou, China

    Bing-Yuan Cao

  2. West Texas A&M University, Canyon,TX,USA, Liaoning Technical University, Fuxin, China

    Pei-Zhuang Wang

  3. Foreign Affairs Office, National Defense University, Beijing, China

    Zeng-Liang Liu

  4. School of Math and Info. Science, Guangzhou University, Guangzhou, China

    Yu-Bin Zhong

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Li, L., Wang, L., Liao, B. (2016). Einstein Choquet Integral Operators for PROMETHEE II Group Decision Making Method with Triangular Intuitionistic Fuzzy Numbers. In: Cao, BY., Wang, PZ., Liu, ZL., Zhong, YB. (eds) International Conference on Oriental Thinking and Fuzzy Logic. Advances in Intelligent Systems and Computing, vol 443. Springer, Cham. https://doi.org/10.1007/978-3-319-30874-6_15

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  • DOI: https://doi.org/10.1007/978-3-319-30874-6_15

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-30873-9

  • Online ISBN: 978-3-319-30874-6

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