Conventional credit scoring model could lead to serious and unfair problems because in certain case it would incriminate one party in financing. Sharia financing scoring model complies with Sharia rules and ensure fairness among parties. Currently, there are no certain rules in Sharia financing scoring model which lead to subjective judgements. In the subjective judgements, words could mean different things to different people. Thus, this paper proposed and deployed models for scoring of default risk level by using Interval Type-2 Fuzzy Set model to support the subjective judgements in maintaining Sharia rules. Installment amount and sum of delay period were used as variables for that scoring. Interval Type-2 Fuzzy Set model was proposed to support the subjective judgements in maintaining Sharia rules. Beginning delay period also used as weighted to the risk scoring results. Beside that, this paper also proposed the method for computing real lost value. It was used as basis in fines computation according to default risk level, bad debt expense, and installment weighted average.