INCOMPLETE INTERVAL-VALUED HESITANT FUZZY PREFERENCE RELATIONS IN DECISION MAKING

In this article, we propose a method to deal with incomplete interval-valuedhesitant fuzzy preference relations. For this purpose, an additivetransitivity inspired technique for interval-valued hesitant fuzzypreference relations is formulated which assists in estimating missingpreferences. First of all, we introduce a condition for decision makersproviding incomplete information. Decision makers expressing incomplete dataare expected to abide by the proposed condition. This ensures that theestimated preferences are well-defined intervals which otherwise may not bepossible. Additionally, this condition eliminates the problem of outlyingestimated preferences. After resolving the issue of incompleteness, thisarticle proposes a ranking rule for reciprocal and non-reciprocalinterval-valued hesitant fuzzy preference relations.