This paper proposes and presents a different approach of choosing an appropriate maintenance strategy using Saaty’s priority theory and fuzzy sets. As per the priority theory, weights are assigned to the decision criteria via pair wise comparison of criteria. Basic three types of maintenance strategies specifically corrective maintenance, preventive maintenance and predictive maintenance and eight maintenance decision criteria namely low maintenance cost, improved reliability, improved safety, high product quality, minimum inventory, return on investment, acceptance by labor, enhanced competitiveness have been considered to evaluate the most favorable strategy. Instead of usual practice of considering single value for “intensity of importance” factor, more appropriate triangular fuzzy numbers are used to represent it. A different approach using fuzzy arithmetic (α-cuts) in priority theory for the above stated problem has been investigated in this paper.