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Several reasons are given in the literature that justify why a decision-maker (DM) may wish to provide imprecise information [28, 32]. For example, performances that reflect social or environmental impacts may be intangible or non-monetary, and performances may be taken from statistics or measurements. Besides, a DM might prefer not to reveal his/her preferences in public or could feel more comfortable providing a scale to represent attribute importance. Moreover, the decision could be taken in a group decision-making situation, where a negotiation process usually outputs imprecise information.