An Improvement on Likert Scale via Fuzzy Relation

Abstract

Relation is a mathematical concept that is often used in modeling relationships in physical and social sciences and the likes. The advent of fuzzy sets which model imprecision and uncertainties that occur in social animals necessitates the introduction of fuzzy relations. Besides, events and situations possess properties which are often contradictory such as good and bad, positive and negative, profit and loss and so on. We dug several literatures, particularly the analysis and hypothesis testing of several results from questionnaires, compared one of them with our newly proposed Likert scale which has fuzzy influence. The results of the two cases was analysed and presented with a bar chart, and it was clear that unlike the usual Likert scale that could be restricted from outliers, the one with fuzzy influence took care of uncertainties.