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Abstract As an important extension of hesitant fuzzy sets, interval-valued hesitant fuzzy sets (IVHFSs) show the flexibility of decision makers (DMs) in expressing hesitant information. Accordingly, numerous research findings have been provided since the introduction of IVHFSs. However, a few important issues in IVHFS utilization remain to be addressed. To do this, this study introduces a multi-criteria decision-making (MCDM) method based on the combination of interval-valued hesitant fuzzy information and the method of the French organization Rangement et Synthese de Ronnees Relationnelles (ORESTE). First, the shortcomings of generalized normalized Hamming distance for interval-valued hesitant fuzzy elements (IVHFEs) in previous studies are discussed. Subsequently, several novel distance measures and a possibility degree formula are developed. Meanwhile, the proofs of the properties are provided to illustrate the effectiveness of the proposed distance measures and possibility degree formula. Second, an MCDM method based on the combination of interval-valued hesitant fuzzy information and the ORESTE method is developed. Lastly, an MCDM problem of identifying the optimal bidding schemeis presented to demonstrate the effectiveness of the proposed method. Acomparative study with other methods is conducted with an identical illustrative example.
Li et al. (Mon,) studied this question.