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Objective Attributes Weights Determining Based on Shannon Information Entropy in Hesitant Fuzzy Multiple Attribute Decision Making

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  • Yingjun Zhang
  • Yizhi Wang
  • Jingping Wang

Abstract

Hesitant fuzzy set has been an important tool in dealing with multiple attribute decision making (MADM) problems, especially for the decision making situation when only some values of membership are possible for an alternative on attributes. However, determining attributes weights in hesitant fuzzy MADM is still an open problem. In this paper, we propose an objective weighting approach based on Shannon information entropy, which expresses the relative intensities of attribute importance to signify the average intrinsic information transmitted to the decision maker. Furthermore, we construct a hesitant fuzzy MADM approach based on the TOPSIS method and a weighted correlation coefficient proposed in this paper. Finally, we utilize a supplier selection example to validate the objective attributes weights determining method and the proposed hesitant fuzzy MADM approach.

Suggested Citation

  • Yingjun Zhang & Yizhi Wang & Jingping Wang, 2014. "Objective Attributes Weights Determining Based on Shannon Information Entropy in Hesitant Fuzzy Multiple Attribute Decision Making," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-7, April.
  • Handle: RePEc:hin:jnlmpe:463930
    DOI: 10.1155/2014/463930
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    Cited by:

    1. Wu, Hui & Li, Xiaojuan & Lu, Hongna & Tong, Ling & Kang, Shaozhong, 2023. "Crop acreage planning for economy- resource- efficiency coordination: Grey information entropy based uncertain model," Agricultural Water Management, Elsevier, vol. 289(C).
    2. Iwona Cieślak & Andrzej Biłozor, 2021. "An Analysis of an Area’s Vulnerability to the Emergence of Land-Use Conflicts," Land, MDPI, vol. 10(11), pages 1-18, November.

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