Interval-based multi-criteria decision making: Strategies to order intervals

Ordering alternatives in interval-based multi-criteria decision making problems is not a trivial task when the intervals of preference are overlapping. In this paper, we aim at giving a rational and natural way of ranking alternatives by computing the degrees of preference, taking into consideration the upper and lower bounds of the interval of preference as well as its width. We slightly modify the general description of degree of preference to accommodate the strategy of choice for risk-prone and risk-averse individuals as well as situations where more information is available (e.g., a probability distribution over the intervals).