Decision making preferences to certain criteria usually focus on positive degrees without considering the negative degrees. However, in real life we came across more frequently with problems related to our Car, valuation of faults becomes more comprehensive if negative degrees are considered concurrently. Preference is expected to be more effective when considering both positive and negative degrees of preference to evaluate the best decision. Therefore, the aim of this paper is to propose the conflicting bi-fuzzy preference relations in decision making by utilization of a modified novel score function. The conflicting bi fuzzy preference relation is obtained by intuitionistic fuzzy preference relations. Releasing the intuitionistic condition by taking into account positive and negative degrees simultaneously and utilizing the novel score function are the main modifications to establish the proposed preference model. The proposed model is tested with a numerical example and proved to be simple and practical.