Now a day many service industries do not aim the optimal data as in real situation. Many decision making is done using fuzzy data if we want to select the products like mobile, food, laptop, clothes, cars, house, property etc we see the rating or stars i.e. is actually fuzzy data. Most of the service provider asks for the feedback from the customer, those data which they collect sometime in the form of (bad, good, excellent) some time (bad, average, good, excellent) sometime in the form of stars etc. In this chapter, we have formulated the problem of resource allocation problem using triangular and trapezoidal numbers in the objective function. We have deployed possibilistic approach to convert fuzzy problems into single-valued and then linear and exponential membership function is used as tools. Lingo 15 is used to solve the problem. Using different sap parameter optimal solution is obtained with the degree of satisfaction which helps Decision maker to take the decision.