“…Given a set of n, d-dimensional objects, Ɵ = {Q 1 ,Q 2 ,..., Q n }, the skyline query returns a set of interesting objects that are not worst than other objects in all dimensions considering the given preferences (Pujarietal.,2015;Pujarietal.,2015a;Zhangetal.,2009;Safar,El-Amin,&Taniar, 2011;Shen,Islam,&Taniar,2020).Ingeneral,preferencesarecertainandimplicitwhenonevalue isalwayspreferredovertheother.Forinstance,everyoneprefersalowpriceoverahighpricein general.Skylinequerieswithcertainpreferencesarewellstudiedintheliterature (Hanetal.,2012;Morse,Patel,&Grosky,2007;Papadiasetal.,2005;Zhang,Mamoulis,&Cheung,2009;Shenetal., 2020,Sohali,Cheema,&Taniar,2018.Inmanyreal-worldscenarios,thepreferencesofindividuals varyfromothers.Forexample,inamovierecommendationscenario,onemayprefercomedymovies toactionmovieswhileotherspreferencesmaydiffer.Individualpreferencemayalsochangefrom contexttocontext;forexample,peoplemayprefercartoonswhenaccompanyingchildrenanddrama withadults.Compilationofallthesevaryingpreferenceswouldleadtouncertainpreferences,i.e., onevalueispreferredovertheotherwithacertainprobability.…”