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A Novel IVPLTS Decision Method Based on Regret Theory and Cobweb Area Model

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  • Peng Li
  • Huanhuan Peng

Abstract

For the multiple criteria decision-making (MCDM) problem with interval-valued probabilistic linguistic information, we propose a novel method considering the regret theory and cobweb area model. We first propose a new score function, which can be used to compare different interval-valued probabilistic linguistic term sets (IVPLTSs) and transform the IVPLTSs into crisp numbers. Some properties of the score function are verified. Then, we utilize the regret theory to obtain the perceived utilities of decision makers (DMs), which can reflect the DMs’ bounded rationality. Furthermore, we use the cobweb area model to aggregate decision information. Finally, a real case of evaluating nursing homes is used to illustrate the effectiveness and features of our method.

Suggested Citation

  • Peng Li & Huanhuan Peng, 2020. "A Novel IVPLTS Decision Method Based on Regret Theory and Cobweb Area Model," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-10, December.
  • Handle: RePEc:hin:jnlmpe:5649525
    DOI: 10.1155/2020/5649525
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    Cited by:

    1. Jinyi Hu, 2023. "Linguistic Multiple-Attribute Decision Making Based on Regret Theory and Minimax-DEA," Mathematics, MDPI, vol. 11(20), pages 1-14, October.

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