A Choice Function Which is Not Dictatorship

Within Arrovian framework purpose of this work is to find a definite social preference corresponding to a profile of preferences. By relaxing the condition 'independence of irrelevant alternatives' of Arrow's Impossibility Theorem and redefining the concept 'unanimity'( to get the image of a profile of preferences, it is necessary to redefine the concept of unanimity and that has been shown in the discussion section), we can arrive at a choice function that respects transitivity and newly defined unanimity but not genuinely dictatorship