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A proportional linguistic distribution based model for multiple attribute decision making under linguistic uncertainty

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Abstract

This paper aims at developing a proportional fuzzy linguistic distribution model for multiple attribute decision making problems, which is based on the nature of symbolic linguistic model combined with distributed assessments. Particularly, in this model the evaluation on attributes of alternatives is represented by distributions on the linguistic term set used as an instrument for assessment. In addition, this new model is also able to deal with incomplete linguistic assessments so that it allows evaluators to avoid the dilemma of having to supply complete assessments when not available. As for aggregation and ranking problems of proportional fuzzy linguistic distributions, the extension of conventional aggregation operators as well as the expected utility in this proportional fuzzy linguistic distribution model are also examined. Finally, the proposed model will be illustrated with an application in product evaluation.

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Acknowledgements

This work has been partly supported by KAKENHI Grant-in-Aid for Scientific Research A–25240049.

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Authors and Affiliations

  1. Japan Advanced Institute of Science and Technology, 1-1 Asahidai, Nomi, Ishikawa, Japan

    Wen-Tao Guo & Van-Nam Huynh

  2. Centre of Excellence in Econometrics, Faculty of Economics, Chiang Mai University, Chiang Mai, Thailand

    Songsak Sriboonchitta

Authors
  1. Wen-Tao Guo
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  2. Van-Nam Huynh
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  3. Songsak Sriboonchitta
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Corresponding author

Correspondence to Van-Nam Huynh.

Additional information

This paper is a significantly revised and extended version of Guo and Huynh (2014).

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Guo, WT., Huynh, VN. & Sriboonchitta, S. A proportional linguistic distribution based model for multiple attribute decision making under linguistic uncertainty. Ann Oper Res 256, 305–328 (2017). https://doi.org/10.1007/s10479-016-2356-4

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  • DOI: https://doi.org/10.1007/s10479-016-2356-4

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