“…In these cases, it is more reasonable to adopt a suitable possibility distribution for each demand based upon the available (but often insufficient) objective data as well as subjective opinions of DMs, or a fully subjective (preference-based) fuzzy set for each judgmental data based upon expert's subjective knowledge, experience and professional feelings. Though, in both cases, fuzzy programming approaches should be used to cope with such vague uncertainties (Panda et al 2014). Herein, these variants of IRPs are called IRPs with "hybrid uncertainty" since we are dealing with a mixture of uncertain data (i.e., fuzzy and random data) in our problem.…”